Exam 5: Discrete Probability Distributions

The probability distribution for the number of goals the Lions soccer team makes per game is given below. ​ ​ What is the probability that in a given game the Lions will score less than 2 goals?

Twenty percent of the students in a class of 400 are planning to go to graduate school. The standard deviation of this binomial distribution is

Random variable x has the probability function f(x) = X/6, for x = 1, 2 or 3​ The expected value of x is

The mean number of pages per day written by an author is 27. What is the probability this author writes 33 pages on a particular day? Assume a Poisson distribution for this scenario.

The Poisson probability distribution is used with _____ random variable.

Oriental Reproductions, Inc. is a company that produces handmade carpets with oriental designs. The production records show that the monthly production has ranged from 1 to 5 carpets. The production levels and their respective probabilities are shown below. The standard deviation for the production is

When dealing with the number of occurrences of an event over a specified interval of time or space, the appropriate probability distribution is a _____ distribution.

Oriental Reproductions, Inc. is a company that produces handmade carpets with oriental designs. The production records show that the monthly production has ranged from 1 to 5 carpets. The production levels and their respective probabilities are shown below. The expected monthly production level is

A sample of 2,500 people was asked how many cups of coffee they drink in the morning. You are given the following sample information. ​ The variance of the number of cups of coffee is

Roth is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below. ​ ​ The standard deviation is

The probability distribution for the number of goals the Lions soccer team makes per game is given below. ​ What is the probability that in a given game the Lions will score at least 1 goal?

A weighted average of the values of a random variable, where the probability function provides weights, is known as the

A measure of the average value of a random variable is called a(n)

The probability that Pete will catch fish when he goes fishing is .88. Pete is going to fish 3 days next week. Define the random variable x to be the number of days Pete catches fish. The expected number of days Pete will catch fish is

The probability that Pete will catch fish when he goes fishing is .88. Pete is going to fish 3 days next week. Define the random variable x to be the number of days Pete catches fish. The probability that Pete will catch fish on exactly one day is

The probability distribution for the daily sales at Michael's Co. is given below. ​ The probability of having sales of at least $50,000 is

The probability distribution for the number of goals the Lions soccer team makes per game is given below. ​ The expected number of goals per game is

The following represents the probability distribution for the daily demand of computers at a local store. ​ The probability of having a demand for at least two computers is

Forty-four percent of all registered voters in a national election are female. A random sample of 5 voters is selected. The probability that there are no females in the sample is

The expected value of a discrete random variable