Solutions to Problems from Chapter 5
5.5
Facts You Need to Use:
a.
b.
c.
By using b with x=n-x and q=1-q:
d.
5.16
Facts You Need to Use:
Let X=Number of correct answers out of 8 questions. X has a binomial distribution with n=8 and q=1/3. Therefore;
5.19
Facts You Need to Use:
Let X=Number of cases in which incompatibility was the reason of divorce out of 6 cases. X has a binomial distribution with n=6 and q=.7. Therefore;
a.
b. 0.3025
5.26
Facts You Need to Use:
a.
b.
5.27
Thus, there is only a 0.074 chance of obtaining 3 or more failures if the manufacturer's claim is correct.
5.39
Facts You Need to Use
For the mean:
or
For the variance:
5.46
Facts You Need to Know:
5.55
(Negative Binomial)
a.
b.
5.58
(Negative Binomial/Geometric)
5.61
(Hypergeometric Distribution)
a.
b.
c.
5.72
Facts You Need to Use:
5.78
a.
b.
c.
5.84
Multinomial Distribution
5.87
Multivariate Hypergeometric
a.
b.
