Exam 4: Discrete Probability Distributions

According to police sources, a car with a certain protection system will be recovered 90% of the time. If 600 stolen cars are randomly selected, what is the mean and standard deviation of the number of cars recovered After being stolen?

Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of at most three boys in ten births.

The random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, (a)construct a probability distribution, and (b)graph the distribution.

A test consists of 800 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers?

The probability that a tennis set will go to a tie-breaker is 14%. What is the probability that two of three sets will go to tie-breakers?

State whether the variable is discrete or continuous. The temperature in degrees Fahrenheit on July 4th in Juneau, Alaska

Sixty-five percent of men consider themselves knowledgeable football fans. If 10 men are randomly selected, find the probability that exactly six of them will consider themselves knowledgeable fans.

A test consists of 10 multiple choice questions, each with five possible answers, one of which is correct. To pass the test a student must get 60% or better on the test. If a student randomly guesses, what is the probability that The student will pass the test?

In a pizza takeout restaurant, the following probability distribution was obtained. The random variable x represents the number of toppings for a large pizza. Graph the probability distribution. () 0 0.30 0.40 2 0.20 3 0.06 4 0.04

State whether the variable is discrete or continuous. The number of pills in a container of vitamins

Decide whether the experiment is a binomial experiment. If it is not, explain why. You test four pain relievers. The random variable represents the pain reliever that is most effective.

A student has five motor vehicle accidents in one year and claims that having five accidents is not unusual. Use the frequency distribution below to determine if the student is correct. Accidents 0 1 2 3 4 5 Students 260 500 425 305 175 45

In a pizza takeout restaurant, the following probability distribution was obtained. The random variable x represents the number of toppings for a large pizza. Find the mean and standard deviation. () 0 0.30 1 0.40 2 0.20 3 0.06 4 0.04

Determine whether the number line represents a discrete random variable or a continuous random variable. Explain your reasoning. The attendance at games for a sports team

State whether the variable is discrete or continuous. The number of cups of coffee sold in a cafeteria during lunch

A recent survey found that 70% of all adults over 50 wear glasses for driving. In a random sample of 10 adults over 50, what is the probability that at least six wear glasses?

Decide whether the experiment is a binomial experiment. If it is not, explain why. You spin a number wheel that has 19 numbers 450 times. The random variable represents the winning numbers on each spin of the wheel.

A car towing service company averages two calls per hour. Use the Poisson distribution to determine the probability that in a randomly selected hour the number of calls is six.

Basketball player Chauncey Billups of the Detroit Pistons makes free throw shots 88% of the time. Find the probability that he misses his first shot and makes the second.

In one city, 24% of adults smoke. In groups of size 130 of adults, what is the variance of the number that smoke ?