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20010101

Binomial Distribution

Binomial Probability

Binomial probability calculates a probability at a specified value for the discrete binomial
distribution with the specified number of trials and probability of success on each trial.

(

)

(1–

)

–

(

= 0, 1, ·······,

)

: success probability

: number of trials

Perform the following key operations from the statistical data list.

(DIST)

(Binmal)

(P.D)

The following shows the meaning of each item when data is specified using list specification.

Data ............................ data type

List .............................. list whose contents you want to use as specified data

(List 1 to 20)

Numtrial ....................... number of trials

.................................. success probability (0

Save Res ..................... list for storage of calculation results (None or List 1 to 20)

Execute ....................... executes a calculation

The following shows the meaning of a parameter data specification item that is different from
list data specification.

.................................. integer from 0 to

After setting all the parameters, align the cursor with [Execute] and then press the function
key shown below to perform the calculation.

•

(CALC) ... Performs the calculation.

# There is no graphing for binomial distribution.

1-4-16

Distribution (DIST)

20011101

Содержание ALGEBRA FX

Страница 1: ...ALGEBRA FX 2 0 PLUS FX 1 0 PLUS User s Guide 2 Additional Functions E http world casio com edu_e...

Страница 2: ...CASIO ELECTRONICS CO LTD Unit 6 1000 North Circular Road London NW2 7JD U K Important Please keep your manual and all information handy for future reference...

Страница 3: ...20010101 ALGEBRA FX 2 0 PLUS FX 1 0 PLUS Additional Functions...

Страница 4: ...Conversion 2 6 1 2 7 Cost Selling Price Margin 2 7 1 2 8 Day Date Calculations 2 8 1 2 9 Depreciation 2 9 1 2 10 Bonds 2 10 1 2 11 TVM Graph 2 11 1 Chapter 3 Differential Equations 3 1 Using the DIFF...

Страница 5: ...20010101 Advanced Statistics Application 1 1 Advanced Statistics STAT 1 2 Tests TEST 1 3 Confidence Interval INTR 1 4 Distribution DIST 1 Chapter...

Страница 6: ...located in the TOOL menu 6 g 1 TOOL u u u u uCalculation of the Coefficient of Determination r2 and MSE You can use the STAT Mode to calculate the coefficient of determination r2 for quadratic regres...

Страница 7: ...n The following is the general procedure for using the Y CAL function 1 After drawing a regression graph press 6 g 2 Y CAL to enter the graph selection mode and then press w If there are multiple grap...

Страница 8: ...lculations The STAT Mode includes functions for performing tests and confidence interval and distribution calculations You can find explanations of each of these functions in the following sections 1...

Страница 9: ...etting screen G T function Pressing u 5 G T again returns to the graph screen The G T function is disabled whenever you change a setting on the parameter setting screen or when you perform a u 3 SET U...

Страница 10: ...ypothesis for a single unknown population mean when the population standard deviation is unknown 2 Sample t Test compares the population means when the population standard deviations are unknown Linea...

Страница 11: ...ter at the corresponding location in the graph unless the location is off the graph screen Two points are displayed in the case of a two tail test Use d and e to move the pointer Press i to clear the...

Страница 12: ...tents you want to use as data List 1 to 20 Freq frequency 1 or List 1 to 20 Save Res list for storage of calculation results None or List 1 to 20 Execute executes a calculation or draws a graph The fo...

Страница 13: ...Output Example G11 4 direction of test z z score p p value o mean of sample x n 1 sample standard deviation Displayed only for Data List setting n size of sample Save Res does not save the condition...

Страница 14: ...ean value test conditions G 2 specifies two tail test 2 specifies one tail test where sample 1 is smaller than sample 2 2 specifies one tail test where sample 1 is greater than sample 2 1 population s...

Страница 15: ...lculation or draw the graph 1 CALC Performs the calculation 6 DRAW Draws the graph Calculation Result Output Example 1G 2 direction of test z z score p p value o1 mean of sample 1 o2 mean of sample 2...

Страница 16: ...t p0 expected sample proportion 0 p0 1 x sample value x 0 integer n size of sample positive integer Save Res list for storage of calculation results None or List 1 to 20 Execute executes a calculation...

Страница 17: ...ne tail test where sample 1 is smaller than sample 2 p2 specifies one tail test where sample 1 is greater than sample 2 x1 data value x1 0 integer of sample 1 n1 size positive integer of sample 1 x2 d...

Страница 18: ...z z score p p value p 1 estimated proportion of sample 1 p 2 estimated proportion of sample 2 p estimated sample proportion n1 size of sample 1 n2 size of sample 2 Save Res does not save the p1 condi...

Страница 19: ...ph screen Two points are displayed in the case of a two tail test Use d and e to move the pointer Press i to clear the t score 2 P Displays p value Pressing 2 P displays the p value at the bottom of t...

Страница 20: ...test 0 specifies lower one tail test 0 specifies upper one tail test 0 assumed population mean List list whose contents you want to use as data List 1 to 20 Freq frequency 1 or List 1 to 20 Save Res l...

Страница 21: ...Calculation Result Output Example G 11 3 direction of test t t score p p value o mean of sample x n 1 sample standard deviation n size of sample Save Res does not save the condition in line 2 1 2 12 T...

Страница 22: ...2 n 1 2 n2 df 1 C2 n1 1 1 C 2 n2 1 C x1 n 1 2 n1 x2 n 1 2 n2 x1 n 1 2 n1 Perform the following key operations from the statistical data list 3 TEST c T c 2 Smpl 1 2 13 Tests TEST o1 mean of sample 1 o...

Страница 23: ...1 to 20 Pooled pooling On in effect or Off not in effect Save Res list for storage of calculation results None or List 1 to 20 Execute executes a calculation or draws a graph The following shows the m...

Страница 24: ...dom o1 mean of sample 1 o2 mean of sample 2 x1 n 1 standard deviation of sample 1 x2 n 1 standard deviation of sample 2 xp n 1 pooled sample standard deviation Displayed only when Pooled On setting n1...

Страница 25: ...llowing key operations from the statistical data list 3 TEST c T d LinReg The following shows the meaning of each item in the case of list data specification p value test conditions G 0 specifies two...

Страница 26: ...display copies the regression formula to the graph formula editor When there is a list specified for the Resid List item on the SET UP screen regression formula residual data is automatically saved to...

Страница 27: ...e matrix that contains the data The following shows the meaning of the above item Observed name of matrix A to Z that contains observed counts all cells positive integers Expected name of matrix A to...

Страница 28: ...isplays the pointer at the corresponding location in the graph unless the location is off the graph screen Press i to clear the 2 value 2 P Displays p value Pressing 2 P displays the p value at the bo...

Страница 29: ...ere sample 1 is greater than sample 2 List 1 list whose contents you want to use as data of sample 1 List 1 to 20 List 2 list whose contents you want to use as data of sample 2 List 1 to 20 Freq 1 fre...

Страница 30: ...ing graph analysis functions after drawing a graph 1 F Displays F value Pressing 1 F displays the F value at the bottom of the display and displays the pointer at the corresponding location in the gra...

Страница 31: ...lculation results None or List 1 to 16 1 Execute executes a calculation or draws a graph Two Way ANOVA only The following item appears in the case of Two Way ANOVA only Factor B category list List 1 t...

Страница 32: ...y ANOVA you can draw Interaction Plot graphs The number of graphs depends on Factor B while the number of X axis data depends on the Factor A TheY axis is the average value of each category You can us...

Страница 33: ...h group as Dependent Define List 1 and List 2 the factor numbers for each data item in List 3 as Factor A and Factor B respectively Executing the test produces the following results Time differential...

Страница 34: ...20010101 u u u u uInput Example u u u u uResults 1 2 25 Tests TEST...

Страница 35: ...onfidence level changes in accordance with the application 1 Sample Z Interval calculates the confidence interval for an unknown population mean when the population standard deviation is known 2 Sampl...

Страница 36: ...range of 0 C Level 1 for the C Level setting sets you value you input Inputting a value in the range of 1 C Level 100 sets a value equivalent to your input divided by 100 Inputting a value of 100 or g...

Страница 37: ...erations from the statistical data list 4 INTR b Z b 1 Smpl The following shows the meaning of each item in the case of list data specification Data data type C Level confidence level 0 C Level 1 popu...

Страница 38: ...l 2 Sample Z Interval calculates the confidence interval for the difference between two population means when the population standard deviations of two samples are known The following is the confidenc...

Страница 39: ...ation The following shows the meaning of parameter data specification items that are different from list data specification o1 mean of sample 1 n1 size positive integer of sample 1 o2 mean of sample 2...

Страница 40: ...rameter specification The following shows the meaning of each item C Level confidence level 0 C Level 1 x data 0 or positive integer n size of sample positive integer Save Res list for storage of calc...

Страница 41: ...from the statistical data list 4 INTR b Z e 2 Prop Data is specified using parameter specification The following shows the meaning of each item C Level confidence level 0 C Level 1 x1 data value x1 0...

Страница 42: ...the confidence level Left o tn 1 2 Right o tn 1 2 x n 1 n x n 1 n Perform the following key operations from the statistical data list 4 INTR c T b 1 Smpl The following shows the meaning of each item i...

Страница 43: ...o mean of sample x n 1 sample standard deviation n size of sample u u u u u 2 Sample t Interval 2 Sample t Interval calculates the confidence interval for the difference between two population means...

Страница 44: ...a specification Data data type C Level confidence level 0 C Level 1 List 1 list whose contents you want to use as data of sample 1 List 1 to 20 List 2 list whose contents you want to use as data of sa...

Страница 45: ...press the function key shown below to perform the calculation 1 CALC Performs the calculation Calculation Result Output Example Left interval lower limit left edge Right interval upper limit right edg...

Страница 46: ...rmal distribution is used to estimate the proportion of the products will reach this value Normal probability density calculates the probability density of normal distribution from a specified x value...

Страница 47: ...and then press w This causes the x and p values to appear at the bottom of the display and moves the pointer to the corresponding point on the graph 3 Pressing v or a number key at this time causes t...

Страница 48: ...Save Res list for storage of calculation results None or List 1 to 20 Execute executes a calculation or draws a graph Specifying 1 and 0 specifies standard normal distribution After setting all the p...

Страница 49: ...Data is specified using parameter specification The following shows the meaning of each item Lower lower boundary Upper upper boundary standard deviation 0 mean Save Res list for storage of calculatio...

Страница 50: ...ty and use this formula to obtain the integration interval Perform the following key operations from the statistical data list 5 DIST b Norm d Invrse Data is specified using parameter specification Th...

Страница 51: ...erforms the calculation Calculation Result Output Examples x inverse cumulative normal distribution Tail Left upper boundary of integration interval Tail Right lower boundary of integration interval T...

Страница 52: ...culation results None or List 1 to 20 Execute executes a calculation or draws a graph After setting all the parameters align the cursor with Execute and then press one of the function keys shown below...

Страница 53: ...C D Data is specified using parameter specification The following shows the meaning of each item Lower lower boundary Upper upper boundary df degrees of freedom df 0 Save Res list for storage of calc...

Страница 54: ...ing key operations from the statistical data list 5 DIST d 2 b P D Data is specified using parameter specification The following shows the meaning of each item x data df degrees of freedom positive in...

Страница 55: ...rrent V Window settings are used for graph drawing when the SET UP screen s Stat Wind setting is Manual The V Window settings below are set automatically when the Stat Wind setting is Auto Xmin 0 Xmax...

Страница 56: ...is specified using parameter specification The following shows the meaning of each item Lower lower boundary Upper upper boundary df degrees of freedom positive integer Save Res list for storage of c...

Страница 57: ...Data is specified using parameter specification The following shows the meaning of each item x data n df numerator degrees of freedom positive integer d df denominator degrees of freedom positive int...

Страница 58: ...F probability density V Window settings for graph drawing are set automatically when the SET UP screen s Stat Wind setting is Auto Current V Window settings are used for graph drawing when the Stat Wi...

Страница 59: ...er specification The following shows the meaning of each item Lower lower boundary Upper upper boundary n df numerator degrees of freedom positive integer d df denominator degrees of freedom positive...

Страница 60: ...20010101 Calculation Result Output Example p F distribution probability 1 4 15 Distribution DIST...

Страница 61: ...ta is specified using list specification Data data type List list whose contents you want to use as specified data List 1 to 20 Numtrial number of trials p success probability 0 p 1 Save Res list for...

Страница 62: ...tatistical data list 5 DIST f Binmal c C D The following shows the meaning of each item when data is specified using list specification Data data type List list whose contents you want to use as speci...

Страница 63: ...ameters align the cursor with Execute and then press the function key shown below to perform the calculation 1 CALC Performs the calculation Calculation Result Output Example p probability of success...

Страница 64: ...a type List list whose contents you want to use as specified data List 1 to 20 mean 0 Save Res list for storage of calculation results None or List 1 to 20 Execute executes a calculation The following...

Страница 65: ...ta type List list whose contents you want to use as specified data List 1 to 20 mean 0 Save Res list for storage of calculation results None or List 1 to 20 Execute executes a caluculation The followi...

Страница 66: ...ant to use as specified data List 1 to 20 p success probability 0 p 1 Save Res list for storage of calculation results None or List 1 to 20 Execute executes a calculation The following shows the meani...

Страница 67: ...you want to use as specified data List 1 to 20 p success probability 0 p 1 Save Res list for storage of calculation results None or List 1 to 20 Execute executes a calculation The following shows the...

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