Exam 6: Discrete Probability Distributions

The random variable X is the number of free throws made by basketball player Sasha in 8 tries.Assuming that the probability of success (making a free throw)is constant from trial to trial,what type of distribution does X follow?

Which statement concerning the binomial distribution is correct?

If 90 percent of automobiles in Orange County have both headlights working,what is the probability that in a sample of eight automobiles,at least seven will have both headlights working?

The expected value of a random variable X is 140 and the standard deviation is 14.The standard deviation of the random variable Y = 3X − 10 is

Which is a not a discrete random variable?

A project has three independent stages that must be completed in sequence.The time to complete each stage is a random variable.The expected times to complete the stages are μ1 = 23,μ2 = 11,μ3 = 17.The expected project completion time is

Which of the following is not a requirement of a binomial distribution?

Which distribution has a mean of 5?

Calculating the probability of getting three aces in a hand of five cards dealt from a deck of 52 cards would require the use of a hypergeometric distribution.

A discrete probability distribution

The domain of X in a Poisson probability distribution is discrete and can include

For which binomial distribution would a Poisson approximation be unacceptable?

A charity raffle prize is $1,000.The charity sells 4,000 raffle tickets.One winner will be selected at random.At what ticket price would a ticket buyer expect to break even?

The discrete random variable X is the number of passengers waiting at a bus stop.The table below shows the probability distribution for X.What is the expected value E(X)for this distribution?

The hypergeometric distribution assumes that the probability of a success remains the same from one trial to the next.

A stock portfolio consists of two stocks X and Y.Their daily closing prices are correlated random variables with variances σX2 = 3.51 and σY2= 5.22,and covariance σXY = −1.55.What is the standard deviation of the sum of the closing prices of these two stocks?

The number of people injured in rafting expeditions on the Colorado River on a randomly chosen Thursday in August is best described by which model?

Which Excel function would generate a single random X value for a binomial random variable with parameters n = 16 and π = 0.25?

The number of male babies in a sample of 10 randomly chosen babies is a

Although the shape of the Poisson distribution is positively skewed,it becomes more nearly symmetric as its mean becomes larger.