Exam 8: Further Topics in Probability and Data Description

The mean weight of a group of boys is 165 lb, with a standard deviation of 20 lb. If the weights are normally distributed, find the probability that one of the boys picked at random from the group weighs between 150 and 195 lb. Round your answer to four decimal places. ​

In a binomial experiment, find the probability of more than 43 successes in 110 trials if . Round your answer to four decimal places. ​

In a binomial experiment, find the probability of between 33 and 38 successes in 150 trials if . Round your answer to four decimal places. ​

Suppose a population of scores x is normally distributed with and Use the standard normal distribution to find . Round your answer to four decimal places. ​

Which list of data is displayed in this frequency histogram? ​ ​

Forty-nine percent of accountants taking a CPA exam fail the first time. If 1000 candidates take the exam for the first time, what is the expected number that will pass? ​

A coin is "loaded" so that the probability of tossing a head is . If it is tossed 24 times, what are the mean and the standard deviation of the number of heads that occur? ​

A candidate claims that 60% of the voters in his district will vote for him. If his district contains 120,300 voters, how many votes does he expect to get from his district, and what is the standard deviation of the number of these votes? Round any estimated quantities to the nearest integer. ​

A die is rolled 2 times, and success is rolling a number greater than 3. Let x = ​number of success. Construct the binomial distribution that describes this experiment, and find the mean of this distribution. ​

Suppose an experiment has five possible outcomes for x: 1, 2, 3, 4, 5. The probability that each of these outcomes occurs is . Estimate the expected value of x for the experiment to two decimal places? ​

Find the median of the set of scores. ​ 44, 86, 92, 58, 62, 70, 92 ​

Data on the amounts of federal on-budget funds for research programs at universities and related institutions for selected years appear in the table below. What is the standard deviation of the federal on-budget funds for research programs for this period? Round your answer to three decimal places. ​

The Fish Commission states that the lengths of all fish in Spring Run are normally distributed, with mean 18 cm and standard deviation 5 cm. What is the probability that a fish caught in Spring Run will be between 18 and 25.5 cm long? Round your answer to four decimal places. ​

The manager of a store buys portable radios in lots of 12. Suppose that, on the average, 2 out of each group of 12 are defective. The manager randomly selects 6 radios out of the group to test. What is the probability that he will find 3 defective radios? Round your answer to six decimal places. ​

Suppose you live in a neighborhood with a few expensive homes and many modest homes. If you wanted to impress people with the neighborhood where you lived, which measure would you give as the "average" property value? ​

A bag contains 5 red balls and 2 black balls. We draw 5 balls, with each one replaced before the next is drawn. What is the probability that 3 balls drawn will be red? Round your answer to six decimal places. ​

The following table defines a discrete probability distribution. Find the expected value of the distribution. ​ ​

The following table defines a discrete probability distribution. Find the expected value of the distribution. ​

Find the mean of the set of sample data. ​ 58, 62, 90, 82, 76, 60, 90 ​

Suppose the probability that a marksman will hit a target each time he shoots is 0.67. If he fires 7 shots at a target, what is the probability he will hit it 2 times? Round your answer to six decimal places. ​