Exam 8: Further Topics in Probability and Data Description

Suppose a pair of dice is thrown 950 times. Estimate how many times would we expect a sum of 5 to occur? Round your answer to the nearest integer. ​

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

Find the standard deviation of the sample data in the frequency table. Round your answer to two decimal places. ​ ​

The following table gives a city's unemployment rates for civilian workers for selected years from 1960 to 2004. Which bar graph represents the information given in the table? ​

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 company produces shotgun shells in batches of 100. A sample of 5 is tested from each batch, and if more than one defect is found, the entire batch is tested. If 4% of the shells are actually defective, what is the probability of more than 1 defective shell in a batch of 5? Round your answer to six decimal places. ​

Find the range of the set of numbers given. ​ 2, 9, 4, 2, 7, 3, 8 ​

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 the probability that a certain drug will lower cholesterol significantly is 0.85. If the drug is administered to 1300 patients, what is the probability that more than 1094 will have significantly lowered cholesterol levels? Round your answer to four decimal places. ​

Find the mode(s) of the scores. ​ 11, 12, 14, 10, 18, 12, 13, 14 ​

Find the mean of the scores. ​ 7, 3, 4, 1, 6, 3 ​

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. ​

A quiz consists of 10 multiple-choice questions with 5 choices for each question. Suppose a student is sure of the first 5 answers and has each of the last 5 questions narrowed to 3 of the possible 5 choices. If the student guesses among the narrowed choices on the last 5 questions, find the probability of getting at least a C (at least 70%). Round your answer to four decimal places. ​

Systolic blood pressure for a group of women is normally distributed, with a mean of 120 and a standard deviation of 15. Find the probability that a woman selected at random has blood pressure greater than 142.5. Round your answer to four decimal places. ​

If records indicate that 8 houses out of 1000 are expected to be damaged by fire in any year, what is the probability that a woman who owns 16 houses will have fire damage in 2 of them in a year? Round your answers to six 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. ​

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? ​

A certain model of automobile has its gas mileage (in miles per gallon, or mpg) normally distributed, with a mean of 40 mpg and a standard deviation of 4 mpg. Find the probability that a car selected at random has gas mileage greater than 50 mpg. Use a table of the standard normal distribution to solve the problem. Round your answer to four decimal places. ​

If the probability that a certain couple will have a blue-eyed child is , and they have 12 children, what is the probability that at least 1 child has blue eyes? ​

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. ​