Probability Distributions

If the prices of new cars increase an average of four times every 3 yeaes, find the probability of

Given a binomial distribution with n = 25 and p = 0.032, use the poisson approximation to the binomial to find.

Given = 0.1 for a poisson distribution, find

Concert pianist Donna has become quite upset at the number of coughs occurring in the audience just before she begins to play. On her l;east tour Donna estimates that on averages eight coughs occur just before the state of her performance.

Guy Ford, production supervisor for the Winstead Company's Charlottesville plant, is worried about an elderly employee's ability to keep up the minimum work pace. In addition to the normal daily breaks, this employee stops for short rest periods an average of 4.1 timers per hour. The rest period is a fairly consistent 3 minutes each time. Ford has decided that if the probability of the employee resting for 12 minutes (not including normal breaks) or more per hour is greater than 0.5, he will move the employee to a different job. Should he do so?

On average, five birds hit the Washington Monument and are killed each week. Bill Garcy, an official of the National parks Service, has requested that Congress allocate funds for equipment to scare birds away from the monument.

Southwestern Electronic has developed a new calculator that performance a series of functions not yet performed by any other calculator. The marketing department is planning to demonstrate this calculator to a group of potential customers, but it is worried about some initial problems, which have resulted in 4 percent of the new calculators developing mathematical in consistencies.

The Orange County Dispute Settlement Center handles various kinds of disputes, but most are marital disputes. In fact, 96 percent of the disputes handled by the DSC are of a marital nature.

  1. What is the probability that, out of 80 disputes handled by the DSC, exactly seven are nonmarital?
  2. None are nonmarital?

The U.S. Bureau of printing and Engraving is responsible for printing this country's paper money.

Use the normal approximation to compute the binomial probabilities in parts (a)-(d) below:.

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