Exam 5: Discrete Probability Distributions

A probability distribution showing the probability of x successes in n trials, where the probability of success does not change from trial to trial, is termed a

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.The expected value of the random variable x 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 weight of an object is an example of

A cosmetics salesperson, who calls potential customers to sell her products, has determined that 30% of her telephone calls result in a sale.Determine the probability distribution for her next three calls.Note that the next three calls could result in 0, 1, 2, or 3 sales.

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

The student body of a large university consists of 65% 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 male?

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.

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 expected number of cups of coffee 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.The probability that there are less than 3 occurrences is

To compute the probability that in a random sample of n elements, selected without replacement, we will obtain x successes, we would use the _____ probability distribution.

A continuous random variable may assume

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?

Assume that you have a binomial experiment with p = 0.4 and a sample size of 50.The variance of this distribution is

Experimental outcomes that are based on measurement scales such as time, weight, and distance can be described by _____ random variables.​

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 probability distribution for the daily sales at Michael's Co.is given below. ​ The probability of having sales of no more than $60,000 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 expected number of new clients per month is

Which of the following is a characteristic of an experiment where the binomial probability distribution is applicable?

A production process produces 2.5% defective parts.A sample of five parts from the production process is selected.What is the probability that the sample contains exactly two defective parts?