Exam 4: Discrete Probability Distributions

The random variable x represents the number of credit cards that adults have along with the corresponding probabilities. Graph the probability distribution. () 0 0.07 1 0.68 2 0.21 3 0.03 4 0.01

A company ships computer components in boxes that contain 90 items. Assume that the probability of a defective computer component is 0.21. Find the probability that the first defect is found in the seventh component tested. Round your answer to four decimal places.

Determine the probability distribution?s missing value. The probability that a tutor will see 0, 1, 2, 3, or 4 students 0 1 2 3 4 () 0.16 0.04 0.19 0.14 ?

Seventy percent of adults ages 50 and older want to reach their 100th birthday. You randomly select nine adults ages 50 and older and ask them whether they want to reach their 100th birthday. The random variable represents the number of adults ages 50 and older who want to reach their 100th birthday. Graph the binomial distribution using a histogram and describe its shape.

Determine the probability distribution?s missing value. The probability that a tutor sees 0, 1, 2, 3, or 4 students on a given day. 0 1 2 3 4 () ? 0.15 0.20 0.20 0.25

The random variable x represents the number of tests that a patient entering a hospital will have along with the corresponding probabilities. Find the mean and standard deviation. 0 1 2 3 4 ()

In a recent survey, 64% of the community favored building a police substation in their neighborhood. If 14 citizens are chosen, find the probability that exactly 8 of them favor the building of the police substation.

According to police sources, a car with a certain protection system will be recovered 89% of the time. Find the probability that 3 of 7 stolen cars will be recovered.

The probability that a house in an urban area will be burglarized is 5%. If 82 houses are randomly selected, what is the probability that none of the houses will be burglarized?

Decide whether the experiment is a binomial experiment. If it is not, explain why. You roll a die 100 times. The random variable represents the number that appears on each roll of the die.

A test consists of 700 true or false questions. If the student guesses on each question, what is the mean number of correct answers?

The random variable x represents the number of tests that a patient entering a hospital will have along with the corresponding probabilities. Graph the probability distribution. 0 1 2 3 4 ()

State whether the variable is discrete or continuous. The cost of a Statistics textbook

A company ships computer components in boxes that contain 10 items. Assume that the probability of a defective computer component is 0.1. Use the geometric variance to find the variance of defective parts.

The probability that an individual is left-handed is 0.16. In a class of 10 students, what is the mean and standard deviation of the number of left-handers in the class?

The random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, find the mean and standard deviation for the random variable x.

Fifty-seven percent of families say that their children have an influence on their vacation plans. Consider a sample of eight families who are asked if their children influence their vacation plans. Identify the values of n, p, and q, and list the possible values of the random variable x.

Decide which probability distribution -binomial, geometric, or Poisson- applies to the question. You do not need to answer the question. -Given: The probability that a federal income tax return is filled out incorrectly with an error in favor of the taxpayer is 20%. Question: What is the probability that when the ten tax returns are randomly selected for an Audit, the sixth return will contain only errors favoring the taxpayer?

The random variable x represents the number of cars per household in a town of 1000 households. Find the probability of randomly selecting a household that has at least one car. Cars Households 0 125 1 428 2 256 3 108 4 83

At a raffle, 10,000 tickets are sold at $5 each for three prizes valued at $4,800, $1,200, and $400. What is the expected value of one ticket?