Exam 5: Discrete Distributions

A binomial distribution is better than a Poisson distribution to describe the occurrence of major oil spills in the Gulf of Saint Lawrence.

If sampling is performed without replacement,the hypergeometric distribution should be used.However,the binomial may be used to approximate this if ___.

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 no questions?

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

For the Poisson distribution of a random variable lambda (λ)is 5 occurrences per ten-minute time interval.If we want to analyze the number of occurrences per hour,we must use an adjusted value for lambda equal to ___.

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 Poisson distribution is being used to approximate a binomial distribution.If n=40 and p=0.06,what value of lambda would be used?

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 ___.

On Saturdays,cars arrive at Sami 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 five minute interval 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 ___.

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

Determine the mean,variance,and standard deviation of a discrete distribution.

Solve problems involving the binomial distribution using the binomial formula and the binomial table.

For the Poisson distribution,the mean and the standard deviation are the same.

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

The Poisson distribution is best suited to describe occurrences of rare events in a situation where each occurrence is independent of the other occurrences.

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

The hypergeometric distribution is similar to the binomial distribution except that ___.

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 on non-authentic names in her sample,the expected (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 batch contains two defective boards;and x is the number of defective boards in the sample.P(x=1)is ___.