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 do not score more than 2 goals?

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 variance is

The random variable x is the number of occurrences of an event over an interval of ten minutes.It can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length.It is known that the mean number of occurrences in ten minutes is 5.3.Which of the following discrete probability distributions' properties are satisfied by random variable x?

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

The binomial probability distribution is most symmetric when​

Consider the probability distribution below. ​ The expected value of x equals

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

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

The Poisson probability distribution is a _____ probability distribution.

An experiment consists of determining the speed of automobiles on a highway by the use of radar equipment.The random variable in this experiment is a _____ random variable.

Random variable x has the probability function: f(x) = x/6 for x = 1,2 or 3.The expected value of x 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 number of customers that enter a store during one day is an example of

The expected value of a discrete random variable

A binomial probability distribution with p = .3 is​

The student body of a large university consists of 60% female students.A random sample of 8 students is selected.What is the probability that among the students in the sample at least 6 are female?

The Poisson probability distribution is used with _____ random variable.

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 one day or less is

Which of the following properties of a binomial experiment is called the stationarity assumption?