Exam 8: Probability Distributions

According to Chebyshev's theorem, the probability that a random variable will take on a value within two standard deviations of the mean is _______ $3 / 4$ .

Among 18 job applicants, six are actually qualified to do the job. Assume seven applicants are randomly selected to be hired.} -Find the mean in the situation above.

The mean of a probability distribution is always a value that can be obtained by the random variable.

The generalization of the binomial distribution when there are _______ outcomes is called the multinomial distribution.

To calculate the probability of obtaining three aces in eight draws of a card with replacement from an ordinary deck, we would use the

To determine the mean of a binomial distribution, it is necessary to know the number of successes involved in the problem.

The number of monthly breakdowns of a conveyor belt at a local factory is a random variable having the Poisson distribution with $\lambda=2.8$ . -Find the probability that the conveyor belt will function for a month with one breakdown. Round to the nearest thousandth.

The editor of a particular women's magazine claims that the magazine is read by $60 \%$ of the female students on a college campus. -If the above claim is true, find the probability that in a random sample of 10 female students more than two read the magazine.

If a distribution is known to be binomial, the most convenient formula that can be used to calculate the mean is $\mu=\sum \mathrm{xp}(\mathrm{x})$ .

It has been found that $40 \%$ of the employees who complete a sequence of executive seminars go on to become vice presidents. Assume that 10 graduates of the program are randomly selected. -In the situation above, find the probability that from two to four become vice presidents.

To calculate the probability of obtaining three aces in eight draws of a card without replacement, the required distribution is the

The daily number of people who examine cars in a particular automobile showroom is a random variable with $\mu=80$ and $\sigma=6$ . -According to Chebyshev's theorem, with what probability can we claim that between 68 and 92 people will look at cars in the showroom on a particular day?

Problems that involve the binomial distribution always assume that (1) _______, (2) _______, and (3) _______ .

The editor of a particular women's magazine claims that the magazine is read by $60 \%$ of the female students on a college campus. -If the above claim is true, find the probability that in a random sample of 10 female students exactly six read the magazine.

The probabilities that a customer entering a particular bookstore buys 0, 1, 2, 3, 4, or 5 books are 0.30, 0.20, 0.20, 0.15, 0.10, and 0.05 respectively. -For the probability distribution above, find the mean.

Which of the following formulas, when applicable, gives exact answers to probability questions involving the binomial distribution?

In the hypergeometric distribution formula, the total number of trials is given by _______.

One application of the Poisson distribution formula is always the answer to what kind of question?

Among 18 job applicants, six are actually qualified to do the job. Assume seven applicants are randomly selected to be hired.} -Find the probability that in this sample from two to four applicants are qualified.

The sum of all the values of a probability distribution must be equal to _______.