Chapter 5 Minitab Instructions
Binomial Probabilities
1.
A. (Replicating Example 5.7a) From the menu choose Calc > Probability Distributions >
Binomial.
B. Select Probability since we are finding P  X  5 . Enter 100 as the Number of trials and
0.047 as the Event probability. Select Input constant and enter the value 5. Click OK.
C. Minitab returns the output below; thus, P  X  5  0.1783 .
Probability Density Function
Binomial with n = 100 and p = 0.047
x
5
P( X = x )
0.178253
1
2.
A. (Replicating Example 5.7a) From the menu choose Calc > Probability Distributions >
Binomial.
B. Select Cumulative probability since we are finding P  X  5 . Enter 100 as the Number of
trials and 0.047 as the Event probability. Select Input constant and enter the value 5.
Click OK.
C. Minitab returns the output below; thus, P  X  5  0.6697 .
Cumulative Distribution Function
Binomial with n = 100 and p = 0.047
x
5
P( X <= x )
0.669745
2
Poisson Probabilities
1.
A. (Replicating Example 5.9a) Choose Calc > Probability Distributions > Poisson.
B. Select Probability since we are finding P  X  115 . Enter 114 for the Mean. Select Input
constant and enter the value 115. Click OK.
C. Minitab returns the output below; thus, P  X  115  0.0370 .
Minitab Output:
Probability Density Function
Poisson with mean = 114
x
115
P( X = x )
0.0370124
2.
A. (Replicating Example 5.9a) Choose Calc > Probability Distributions > Poisson.
B. Select Cumulative probability since we are finding P  X  100 . Enter 114 for the Mean.
Select Input constant and enter the value 100. Click OK.
3
C. Minitab returns the output below; thus, P  X  100  0.1012 .
Cumulative Distribution Function
Poisson with mean = 114
x
100
P( X <= x )
0.101206
Hypergeometric Probabilities
A. (Replicating Example 5.10a) From the menu choose Calc > Probability Distributions >
Hypergeometric.
B. Select Probability since we are finding P  X  1 . (For cumulative probabilities, select
Cumulative probability). Enter 20 for the Population size(N), 2 for Event count in
population(M), and 5 for the Sample size(n). Select Input constant and enter 1. Click OK.
4
C. Minitab returns the output below; thus, P  X  1  0.3947 .
Probability Density Function
Hypergeometric with N = 20, M = 2, and n = 5
x
1
P( X = x )
0.394737
5