Exam 3: Probability Distributions

Whenever the probability is proportional to the length of the interval,the random variable is

The Poisson probability distribution is used with a continuous random variable.

The Poisson probability distribution is used with

A standard normal distribution is a normal distribution with

Delicious Candy markets a two pound box of assorted chocolates.Because of imperfections in the candy making equipment,the actual weight of the chocolate has a continuous uniform distribution ranging from 31.8 to 32.6 ounces. a.Define a probability density function for the weight of the box of chocolate. b.What is the probability that a box weighs (1) exactly 32 ounces; (2) more than 32.3 ounces; (3) less than 31.8 ounces? c.The government requires that at least 60% of all products sold weigh at least as much as the stated weight. Is Delicious violating government regulations?

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?

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

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

Assume that the time required to download a file from the Internet is exponentially distributed with mean equal to 4 minutes.What is the probability that a download will require at least 2 but not more than 4 minutes?

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.

The binomial probability distribution is most symmetric when

Which of the following are continuous random variables? I.the weight of an elephant II.the time to answer a questionnaire III.the number of floors in a skyscraper IV.the square feet of countertop in a kitchen

A uniform distribution is defined on the interval from 1  x  5.Graph it,and explain how to determine the density function.

The probability density function matches each value of a continuous random variable with its probability.

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).

A random variable that may assume only a finite or an infinite sequence (e.g.,1,2,3,...)of values is a discrete random variable.

In a Poisson probability problem,the rate of errors is one every two hours.To find the probability of three defects in four hours,

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

The time it takes to travel from home to the office is normally distributed with  = 25 minutes and  = 5 minutes. a.What is the probability the trip takes more than 20 minutes? b.What is the probability the trip takes less than 15 minutes. c.What is the probability the trip takes between 30 and 35 minutes? d.What is the probability the trip takes more than 40 minutes?

Explain how the binomial distribution could be used in quality control to sample 50 parts in a lot of 500.