7-11-7

Distribution

Input Example:

FPD 1.7,2,3

Calculation Result Output

p : F probability density

F Distribution Probability

Command: FCD ￿

Description: This command calculates the probability of F distribution data falling between

aand b.

 

 

Γ

n + d

 

 

 

 

 

n

b

 

n

 

 

 

–

n + d

a : lower boundary (Lower)

 

 

 

2

 

 

 

 

 

 

 

 

 

n.x

 

 

p =

 

 

 

 

 

 

n 2

 

 

–1

2

 

 

 

 

 

 

 

 

 

 

 

2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

x

 

1 +

 

 

 

 

dx

b : upper boundary (Upper)

 

 

 

n

 

 

d

d

 

 

d

 

Γ

 

 

Γ

 

a

 

 

 

 

 

 

 

 

 

 

 

2

 

 

2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Command Syntax

Lower value, Upper value, n:df value, d:df value

Definition of Terms

Lower : lower boundary

Upper : upper boundary

n:df : degrees of freedom of numerator (positive integer)

d:df : degrees of freedom of denominator (positive integer)

Input Example:

FCD 0.76,3,2,3

Calculation Result Output

p : F distribution probability

kBinomial Distribution

Binomial Probability

Command: BinomialPD ￿

Description: This command calculates the probability that a random variable that follows a binomial distribution will be a given x value. For example, it determines the probability of x successes when the probability of success p-trial is performed

ntimes.

f (x) = n C x px (1–p)n– x

(x = 0, 1, ·······, n)

p : probability of success

 

 

(0 <p <1)

 

 

n : number of trials

20050501