Exam 5: Discrete Distributions

The following graph is a binomial distribution with n = 6: This graph reveals that ___.

Ten policyholders file claims with CareFree Insurance.Three of these claims are fraudulent.Claims manager Earl Evans randomly selects three of the ten claims for thorough investigation.If x represents the number of fraudulent claims in Earl's sample, P(x=1)is ___.

To compute the variance of a discrete distribution, it is not necessary to know the mean of the distribution.

Poisson distribution describes the occurrence of discrete events that may occur over a continuous interval of time or space.

The number of phone calls arriving at a switchboard in a 10 minute time period would best be modelled with the ___.

The following graph is a binomial distribution with n = 6: This graph reveals that ___.

The number of automobiles sold by a dealership in a day is an example of a discrete random variable.

Suppose a committee of 3 people is to be selected from a group consisting of 4 men and 5 women.What is the probability that one man and two women are selected?

For the Poisson distribution, the mean and the variance are the same.

You are offered an investment opportunity.Its outcomes and probabilities are presented in the following table: The mean of this distribution is ___.

As in a binomial distribution, each trial of a hypergeometric distribution results in one of two mutually exclusive outcomes, i.e., either a success or a failure.

In a binomial distribution, p, the probability of getting a successful outcome on any single trial, remains the same from one trial to another.

Pinky Bauer, Chief Financial Officer of Harrison Haulers, Inc., suspects irregularities in the payroll system, and orders an inspection of a random sample of vouchers issued since January 1, 2013.A sample of ten vouchers is randomly selected, without replacement, from the population of 2,000 vouchers.Each voucher in the sample is examined for errors and the number of vouchers in the sample with errors is denoted by x.If 20% of the population of vouchers contains errors, the standard deviation of x is ___.

The volume of liquid in an unopened 1-litre can of paint is an example of ___.

Twenty five items are sampled.Each of these has the same probability of being defective.The probability that exactly 2 of the 25 are defective could best be found by ___.

On Saturdays, cars arrive at Sam Schmitt's Scrub and Shine Car Wash at the rate of 6 cars per fifteen-minute interval.Using the Poisson distribution, the probability that five cars will arrive during the next fifteen-minute interval is ___.

In a binomial experiment, any single trial contains only two possible outcomes and successive trials are dependent.

The probability of selecting 2 male employees and 3 female employees for promotions in a small company would best be modelled with the ___.

Circuit boards for wireless telephones are etched in an acid bath, in batches of 100 boards.A sample of seven boards is randomly selected from each lot for inspection.A particular batch contains two defective boards; and x is the number of defective boards in the sample.P(x=2)is ___.

The probability of selecting 3 defective items and 7 good items from a warehouse containing 10 defective and 50 good items would best be modelled with the ___.