Adapt the formula of Theorem 5 so that it can be used to express geometric probabilities in terms of binomial probabilities, and use the formula and Table I of "Statistical Tables" to
(a) verify the result of Example 5;
(b) rework Exercise 59.
Example 5
If the probability is 0.75 that an applicant for a driver's license will pass the road test on any given try, what is the probability that an applicant will finally pass the test on the fourth try?
Exercise 59
When taping a television commercial, the probability is 0.30 that a certain actor will get his lines straight on any one take. What is the probability that he will get his lines straight for the first time on the sixth take?