Chapter 6.3, Problem 109E

(a)

To determine

To find: whether of the following scenarios explain a geometric setting yes or not, If yes than define an appropriate geometric random variable.

Answer to Problem 109E

No geometric distribution

Explanation of Solution

A random variable has a geometric distribution when the variable contain two possible results, every draw is independent of the previous ones, The variables computes the number of draws required until the first success. Every draw has the same probability of success.

No geometric distribution, the reason is that does not count until the first success and interested in five successes.

(b)

To determine

To find: whether of the following scenarios explain a geometric setting yes or not, If yes than define an appropriate geometric random variable.

Answer to Problem 109E

Geometric distribution

Explanation of Solution

A random variable has a geometric distribution when the variable contain two possible results, every draw is independent of the previous ones, The variables computes the number of draws required until the first success. Every draw has the same probability of success.

Every draw has the same probability of success

Geometric distribution, the reason is that the two possible results are win money and do not win money, draws are independent and compute the number of draws until the first success and $p=0.259$ .