Exam 5: Discrete Distributions

If x is a binomial random variable with n=10 and p=0.8,the mean value of x is _____.

Aluminum castings are processed in lots of five each.A sample of two castings is randomly selected from each lot for inspection.A particular lot contains one defective casting; and x is the number of defective castings in the sample.P(x=1)is _______.

The mean or the expected value of a discrete distribution is the long-run average of the occurrences.

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

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 1,2006.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 mean value of x is __________.

A market research team compiled the following discrete probability distribution for families residing in Randolph County.In this distribution,x represents the number of evenings the family dines outside their home during a week. The mean (average)value of x is _______________.

The probability of selecting 2 baseball players and 3 basketball players for an intermural competition at a small sports camp would best be modeled with the _______.

The volume of liquid in an unopened 1-gallon can of paint is an example of _________.

Variables which take on values only at certain points over a given interval are called continuous random variables

Both the Poisson and the binomial distributions are discrete distributions and both have a given number of trials.

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 Monday mornings,customers arrive at the coffee shop drive thru 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 _____________.

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

The amount of time a patient waits in a doctor's office is an example of a continuous random variable

Twenty five individuals are randomly selected out of 100 shoppers leaving a local bedding store.Each shopper was asked if they made a purchase during their visit.Each of the shoppers has the same probability of answering 'yes' to having made a purchase.The probability that exactly four of the twenty-five shoppers made a purchase could best be found by _______.

The Poisson distribution is being used to approximate a binomial distribution.If n=60 and p=0.02,what value of lambda would be used?

The number of successes in a hypergeometric distribution is unknown

A recent analysis of the number of rainy days per month found the following outcomes and probabilities. The mean of this distribution is _____________.

A Poisson distribution is characterized by one parameter.

The probability of selecting 3 female employees and 7 male employees to win a promotional trip a company with 10 female and 50 male employees would best be modeled with the _______.