Exam 3: Probability Distributions

A video rental store has two video cameras available for customers to rent.Historically,demand for cameras has followed this distribution.The revenue per rental is $40.If a customer wants a camera and none is available,the store gives a $15 coupon for snacks. Demand Relative Frequency Revenue Cost 0 .35 0 0 1 .30 40 0 2 .20 80 0 3 .10 80 15 4 .05 80 30 a.What is the expected demand for camera rentals? b.What is the expected revenue from camera rentals? c.What is the expected cost associated with camera rentals? d.What is the expected profit from camera rentals?

A calculus instructor uses computer aided instruction and allows students to take the midterm exam as many times as needed until a passing grade is obtained.Following is a record of the number of students in a class of 20 who took the test each number of times. Students Number of Tests 10 1 7 2 2 3 1 4 a.Use the relative frequency approach to construct a probability distribution and show that it satisfies the required condition. b.Find the expected value of the number of tests taken. c.Compute the variance. d.Compute the standard deviation.

One way a discrete probability distribution can be portrayed is in a table that lists values for x and f(x).Describe two other ways distributions can be represented.​

Which of the following is not a property of a binomial experiment?​

A random variable that has a normal distribution with a mean of 0 and a standard deviation of 1 is said to have a binomial distribution.

The expected value of the discrete random variable x is μ,a weighted average of all possible values of x.

Larger values of the standard deviation result in a normal curve that is

The standard normal distribution is a normal distribution with a mean of 1 and a standard deviation of 1/3.

After a severe winter,potholes develop in a state highway at the rate of 5.2 per mile.Thirty-five miles of this highway pass through Washington County. a.How many potholes would you expect to see in the county? b.What is the probability of finding 8 potholes in 1 mile of highway?

A binomial probability distribution with p = .3 is​

The binomial distribution is appropriate to use to find the probability of the elapsed time between successes.

The number of customers at Winkies Donuts between 8:00a.m.and 9:00a.m.is believed to follow a Poisson distribution with a mean of 2 customers per minute. a.During a randomly selected one minute interval during this time period,what is the probability of 6 customers arriving to Winkies? b.What is the probability that at least 2 minutes elapse between customer arrivals?

Explain how the Poisson and exponential probability distributions relate to each other and how they relate to waiting line models.​

Variance is

The Poisson probability of three events in one hour is the same as the probability of 36 events in one day.

If one wanted to find the probability of ten customer arrivals in an hour at a service station,one would generally use the Poisson distribution.

A statement that matches the values of a random variable with the probabilities of those values is

Use a graph to illustrate,for a continuous random variable,the relationship among P(x = a),P(a < x < b),and P(a ≤ x ≤ b).​

The Poisson probability distribution is used with

When dealing with the number of occurrences of an event over a specified interval of time or space and when the occurrence or nonoccurrence in any interval is independent of the occurrence or nonoccurrence in any other interval,the appropriate probability distribution is a