-

 ￿￿￿
p: probability of success (0 s p s 1)
n: number of trials
￿￿ ￿￿￿￿ ￿￿
￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿￿ ￿

Inverse Student’s t Cumulative Distribution .... [Inv. Distribution] - [Inverse t CD]

 

 

 

 

 

 

 

 

 

 

 

 

Calculates the lower bound value of a Student’s t cumulative probability distribution for specified

 

 

 

 

 

 

 

 

 

values.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

χ2 Probability Density .... [Distribution] - [χ2 PD]

 

 

 

 

 

 

 

df

 

df

–1

x

 

 

 

1

 

 

1

 

2

Calculates the χ2 probability density for a specified value.

f (x) =

 

 

 

 

x 2 e

 

2

 

Γ

df

2

 

 

 

 

 

 

 

 

 

 

2

 

 

 

 

 

 

 

 

 

 

 

χ2 Cumulative Distribution .... [Distribution] - [χ2 CD]

Calculates the cumulative probability of a χ2 distribution between a lower bound and an upper bound.

p =

 

1

 

 

1

Γ

df

2

 

 

2

 

 

 

df b

2df –1x

x 2 e 2 dx

a

Inverse χ2 Cumulative Distribution .... [Inv. Distribution] - [Inverse χ2 CD]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Calculates the lower bound value of a χ2 cumulative probability distribution for specified values.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

F Probability Density .... [Distribution] - [F PD]

 

 

Γ n + d

 

 

 

 

 

n

 

 

n

 

n.x

n + d

Calculates the F probability density for a specified value.

 

 

2

 

 

 

 

n

 

2

 

 

 

1

 

2

 

 

 

 

 

 

 

 

 

2

 

 

 

 

 

 

 

 

 

 

 

 

f (x) = Γ

 

n

Γ

 

d

 

 

d

x

 

1 +

d

 

 

 

 

2

 

2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

F Cumulative Distribution .... [Distribution] - [F CD]

Calculates the cumulative probability of an F distribution between a lower bound and an upper bound.

 

 



 



 

 

 

 

 

 



 

 

 

 

 

 

￿

*

 

 

 

 

￿

 

 

 

 

 

 

 

 

 

￿

￿￿￿

 

 

 

 

 

 

 

 

￿

 

 

￿

￿￿

￿￿￿

 

￿

 

 

 

 

 

 

 

 

 

 

 



 

 

 

 



 

 

 

 

 

 



 



 

 

 

 



 



 

 

 



 

 

 

 

 



 

 

 

 

 

 

 

 

 

 

 

￿

 

 

￿

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Inverse F Cumulative Distribution .... [Inv. Distribution] - [Inverse F CD]

Calculates the lower bound value of an F cumulative probability distribution for specified values.

Binomial Distribution Probability .... [Distribution] - [Binomial PD]

Calculates the probability in a binomial distribution that success will occur on a specified trial.

Binomial Cumulative Distribution .... [Distribution] - [Binomial CD]

Calculates the cumulative probability in a binomial distribution that success will occur on or before a specified trial.

Inverse Binomial Cumulative Distribution .... [Inv. Distribution] - [Inverse Binomial CD]

t

Calculates the minimum number of trials of a binomial cumulative probability distribution for specified values.

Poisson Distribution Probability .... [Distribution] - [Poisson PD]

 0 

 

 

 

 

 

Calculates the probability in a Poisson distribution that success will occur on a specified trial.

/

 

 

 

 

 

(x = 0, 1, 2, ...)

0712

To calculate Poisson probability for the data below and graph the result

): mean (0 < ))

 

Specified trial: 10

Mean: 6

 

 

Chapter 7: Statistics Application

146