Exam 9: Further Topics in Probability; Data Description

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. ​

Suppose a company has 11 employees, 1 earning $160,000, 2 earning $120,000, 3 earning $60,000, 4 earning $40,000, and 1 earning $32,000. What is the mode of the salaries? ​

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. ​

Estimate the variance for the following probability distribution to two 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. ​

Find the median of the set of scores. ​ 24)8, 28.4, 27.3, 27.3, 29.2 ​

Find the median of the set of scores. ​ 16, 19, 21, 30, 40, 26, 24, 32 ​

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. ​

Suppose according to one of Mendel's hybridization experiments, when peas with green pods were crossed with peas with yellow pods, 45% of the offspring pods should be yellow. What is the probability that at least 267 of 570 offspring peas would have yellow pods? Round your answer to four decimal places. ​

If a die is rolled 39 times, what is the probability that a 6 will occur at least 12 times? Round your answer to four decimal places. ​

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

The following bar graph shows the size of the average farm (in acres) for selected years from 1940 to 2000. Which table shows the data displayed in the graph? ​ ​

A nonprofit organization sells chances for a $40,000 automobile at $125 per ticket. It sells 2,000 tickets and offers four prizes, summarized in the table that follows. What are the expected winnings (or loss) for each ticket? ​ ​

A baseball player has a lifetime batting average of 0.3. If he comes to bat 7 times in a given game, what is the probability that he will get more than 3 hits? Round your answer to six decimal places. ​

Use a table of the standard normal distribution to find the probability that a z-score from the standard normal distribution will lie within the interval . Round your answer to four decimal places. ​

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. ​

A new car with a $19,700 list price can be bought for different prices from different dealers. In one city the car can be bought for $18,900 from 2 dealers, for $17,500 from 1 dealer, for $17800 from 3 dealers, for $18,300 from 2 dealers, and for $18,200 from 2 dealers. What are the mean and standard deviation of this sample of car prices? Round your answer to two decimal places wherever applicable. ​

Use a table of the standard normal distribution to find the probability that a z-score from the standard normal distribution will lie within the interval . Round your answer to four decimal places. ​

The percents of total households that contain married couples for the years 1982 to 2006 are given in the table below. Construct a frequency histogram of the percents. ​

A multiple-choice test has 45 questions and 5 choices for each question. If a student is totally unprepared and guesses on each question, how many questions can she expect to answer correctly, and what is the standard deviation of the number of correct answers? Round any estimated quantities to two decimal places. ​