Rework problem 7 from section 4.1 of your text involving the computation of probabilities for a Bernoulli trial. Assume that n = 15, and p = 2

7

.

Find the probability of at least 3 successes and at least 2 failure

Rework problem 19 from section 4.1 of your text about the Good Vehicles, Inc., auto dealer, but assume that 1 car in 9 is defective and will not start.If at different times 5 individuals each randomly select a car to test drive, what is the probability that at least 1 of them selects a car that will not start?

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This problem involves inspection at a widget factory. Assume that a box contains 4 defective widgets and 12 acceptable widgets. There are 5 inspectors, each of whom selects a widget from the box at random, inspects it, and then replaces it in the box. Each inspector makes his or her inspection at a different time. What is the probability that at least one inspector will find a defective widget?

You will be limited to no more than 3 attempts for credit on this problem.)Rework problem 23 from section 4.1 of your text involving a basketball player's three point shooting. Assume that his shots are Bernoulli trials, and that he makes 1 in 6 of his shots.

How many three point shots must the player attempt so that the probability of his hitting at least one of them is at least 0.94?

Rework problem 29 from section 4.1 of your text about the professor who sometimes forgets to bring her briefcase to the office, but assume that, each day, the probability that she forgets the briefcase is 1/7

. Assume that her forgetting is a Bernoulli process.

(1) What is the probability that she remembers to bring her briefcase every day in one week (5 days)?

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(2) What is the probability that she forgets to bring her briefcase every day in one week (5 days)?equation editor

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(3) What is the probability that she forgets to bring her briefcase at least one day in one week (5 days)?equation editor

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