Roth is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below. Number of Probability 0.05 0.10 0.15 New Clients 0.35 0.20 0.10 0.05 Refer to Exhibit 5-3. The expected number of new clients per month is 6. 3.05

The number of needed repairs while under warranty for a Sure Cut lawnmower has a population distribution as shown in the probability histogram below. The population mean is also given. Population 0.6 - 0.5- 0.4- population mean: u=1.15 0.3- 0.2- Number of repairs Probability

Because of the continued successful implementation of an urban renewal program, it is expected that each year, 6% of the population currently residing in the city will move to the suburbs and 7% of the population currently residing in the suburbs will move to the city. The initial probability distribution is as given below. City Suburb 0.70 0.30 What will be the population distribution of the city after 1 year? city suburb What will be the population distribution of the city after 2 years? (Round your answers to three decimal places.) city suburb

Assume that 12 jurors are randomly selected from a population in which 60% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. Number of Mexican-Americans Probability 0 0 1 0.0003 2 0.0025 3 0.0125 4 0.042 5 0.1009 6 0.1766 7 0.227 8 0.2128 9 0.1419 10 0.0639 11 0.0174 12 0.0022 a) Find the probability of at most 4 Mexican-Americans among 12 jurors.      Give answer as a decimal.   b) Find the probability of more than 4 Mexican-Americans among 12 jurors.     Give answer as a decimal.

A ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following probability distribution. •   Let X = the number of years a student will study ballet with the teacher. •   Let P(x) = the probability that a student will study ballet x years. Complete the table below using the data provided. (Enter exact numbers as integers, fractions, or decimals.) x P(x) x*P(x) 1 0.10   2 0.10   3 0.20   4     5 0.20   6 0.20   7 0.05

Find the mean of the given probability distribution. The probabilities that a batch of 4 computers will contain 0,1,2,3, and 4 defective computers are 0.5997, 0.3271, 0.0669, 0.0061, and 0.0002,respectively. Round answer to the nearest hundredth.

Suppose you called your local pharmacy to refill a prescription and are put on hold. Assume that the amount of time you will spend on hold is somewhere between 0 and 13 minutes and it follows a uniform distribution. What is the probability you will be on hold for exactly 8 minutes?

Adrian plays on the Varsity Boys basketball team. He successfully scores approximately 38% of his attempted shots. In the first half of a given basketball game, Adrian takes 6 attempted shots on net. What kind of probability distribution does this situation represent? A. Hypergeometric B. Binomial C. uniform D. Both Binomial and Hypergeometric E. none of these