Exam 5: Discrete Distributions

Suppose that the number of calls coming per minute into an airline reservation center follows a Poisson distribution.Assume that the mean number of calls is 3 calls per minute.The probability that no calls are received in a given one-minute period is _______.

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=0)is _______________.

Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list she doubts the authenticity of the list.She randomly selects five names from the list for validation.If 40% of the names on the list are non-authentic, and x is the number of non-authentic names in her sample, P(x=0)is ______________.

Suppose that the number of calls coming per minute into an airline reservation center follows a Poisson distribution.Assume that the mean is 3 calls per minute.The probability that at least two calls are received in a given two-minute period is _______.

A manufacturer of cans of soda pop weighs every 10^th can to determine if the production line is working properly.The possible outcomes of how many cans weighed in an hour and their associated probabilities would be an example of ___________.

The age of the employees in a given company, measured in whole number of years, is an example of _______.

The number of sandwiches sold at a deli during a 2-hour lunch period would be an example of _____________.

In American Roulette, there are two zeroes and 36 non-zero numbers (18 red and 18 black).If a player bets 1 unit on red, his chance of winning 1 unit is therefore 18/38 and his chance of losing 1 unit (or winning -1)is 20/38.Let x be the player profit per game.The mean (average)value of x is approximately_______________.

A student randomly guesses the answers to a five-question true/false test.If there is a 50% chance of guessing correctly on each question, what is the probability that the student misses exactly 1 question?

A variable that can take on values at any point over a given interval is called a discrete random variable

A market research team compiled the following discrete probability distribution on the number of sodas the average adult drinks each day.In this distribution, x represents the number of sodas which an adult drinks. x P(x) 0 0.30 1 0.10 2 0.50 3 0.10 The mean (average)value of x is _______________.

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 _______.

For the Poisson distribution the mean represents twice the value of the standard deviation.

The variance of a discrete distribution increases if we add a positive constant to each one of its values.

In a certain communications system, there is an average of 1 transmission error per 10 seconds.Assume that the distribution of transmission errors is Poisson.The probability of 1 error in a period of one-half minute is approximately ________

The number of visitors to a website each day is an example of a discrete random variable

A market research team compiled the following discrete probability distribution on the number of sodas the average adult drinks each day.In this distribution, x represents the number of sodas which an adult drinks. () 0 0.30 1 0.10 2 0.50 3 0.10 The standard deviation of x is _______________.

A recent analysis of the number of rainy days per month found the following outcomes and probabilities. Namber of Raining Days (x) (x) 3 .40 4 .20 5 .40 The standard deviation of this distribution is _____________.

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, 2016.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 contain errors, P(x = 0)is _______________.