Exam 4: Discrete Probability Distributions

Fifty percent of the people that get mail-order catalogs order something. Find the probability that exactly two of 10 people getting these catalogs will order something.

Use the frequency distribution to (a)construct a probability distribution for the random variable x which represents the number of cars per household in a town of 1000 households, and (b)graph the distribution. Cars Households 0 125 1 428 2 256 3 108 4 83

Twenty-six percent of people in the United States with Internet access go online to get news. A random sample of five Americans with Internet access is selected and asked if they get the news online. Identify the values of n, p, and q, and list the possible values of the random variable x.

A recent survey found that 63% of all adults over 50 wear glasses for driving. In a random sample of 100 adults over 50, what is the mean and standard deviation of those that wear glasses?

Determine whether the distribution represents a probability distribution. If not, identify any requirements that are not satisfied. () 1 -0.2 2 -0.2 3 -0.2 4 -0.2 5 -0.2

Determine whether the distribution represents a probability distribution. If not, identify any requirements that are not satisfied. () 1 0.49 2 0.05 3 0.32 4 0.07 5 0.07

A sports announcer researched the performance of baseball players in the World Series. The random variable x represents the number of of hits a player had in the series. Use the frequency distribution to construct a probability distribution. Hits 0 1 2 3 4 5 6 7 Players 7 9 7 4 1 1 2 1

State whether the variable is discrete or continuous. The age of the oldest student in a statistics class

A statistics professor finds that when he schedules an office hour at the 10:30 a.m. time slot, an average of three students arrive. Use the Poisson distribution to find the probability that in a randomly selected office hour in The 10:30 a.m. time slot exactly two students will arrive.

If a person rolls doubles when tossing two dice, the roller profits $100. If the game is fair, how much should the person pay to play the game?

A statistics professor finds that when he schedules an office hour at the 10:30 a.m. time slot, an average of three students arrives. Use the Poisson distribution to find the probability that in a randomly selected office hour no Students will arrive.

The random variable x represents the number of credit cards that adults have along with the corresponding probabilities. Find the mean and standard deviation. () 0 0.07 1 0.68 2 0.21 3 0.03 4 0.01

The probability that a house in an urban area will be burglarized is 5%. If 20 houses are randomly selected, what is the mean of the number of houses burglarized?

The probability that a tennis set will go to a tiebreaker is 16%. In 220 randomly selected tennis sets, what is the mean and the standard deviation of the number of tiebreakers?

Determine whether the distribution represents a probability distribution. If not, identify any requirements that are not satisfied. x P(x) 1 0.2 2 0.2 3 0.2 4 0.2 5 0.2

Decide whether the experiment is a binomial experiment. If it is not, explain why. Surveying 600 prisoners to see whether they are serving time for their first offense. The random variable represents the number of prisoners serving time for their first offense.

Decide whether the experiment is a binomial experiment. If it is not, explain why. Surveying 250 prisoners to see how many crimes in which they were convicted. The random variable represents the number of crimes in which each prisoner was convicted.

According to government data, the probability that a woman between the ages of 25 and 29 was never married is 40%. In a random survey of 10 women in this age group, what is the probability that two or fewer were never Married?

According to government data, the probability that a woman between the ages of 25 and 29 was never married is 40%. In a random survey of 10 women in this age group, what is the probability that at least eight were Married?

Decide whether the experiment is a binomial experiment. If it is not, explain why. Each week, a man plays a game in which he has a 39% chance of winning. The random variable is the number of times he wins in 51 weeks.