Binomial Geometric Poisson Distributions

A rental car service center company has 5 cars available for rental each day. Assume that each car is rented out for the whole day and that the number of cars rented out each day is randomly distributed with a mean of 2. Find the probability that the company cannot meet the demand for cars on any one day.

• 0.0166

• 0.0527

• 0.9473

• 0.0361

Which criteria does a binomial distribution need to meet?

• BIFS: Binary outcomes, Independent trials, First occurrence, Set probability for Success

• BINS: Binary outcomes, Independent trials, set Number of trials, Set probability for Success

• PINT: Probability of x occurrences in set interval, Independent occurrences, constant Number of occurrences per interval, set Time interval

Defective parts occur on a production line at a rate of .069 defects per minute, they occur in a pattern that is Poisson distributed. What is the probability there will be fewer than 15 minutes between defects? Name that distribution.

• Binomial

• Exponential

• Geometric

• Poisson

Defective parts occur on a production line at a rate of .069 defects per minute, they occur in a pattern that is Poisson distributed. What will you put into the calculator to calculate the probability that less than 15 minutes elapse between defects?

• Binom (LB - inf, UB 15, n = 50, p = .069)

• Geom (Lambda .069, LB 0, UB 15)

• Poisson (lambda .069, LB 0, UB 15)

Which two distributions complement each other - one looking at the probability of a set time between arrivals and the other looking at when the first arrival will occur?

• Exponential and binomial

• Binomial and Poisson

• Exponential and Poisson

• Normal and binomial

Find the mean of a binomial distribution with n=50 and p=0.4

• 50

• 4

• 20

• 10

Suppose 2% of all credit card transactions are fraudulent. If there 50 transactions per day, Which distribution can be use to find out the probability that at least 2 transactions are fraudulent?

• Uniform

• Binomial

• Geometric

• Hypergeometric

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that at least 2 of the first 10 blood donors has Type B blood? 

• 0.088

• 0.697

• 0.214

• 0.303 

X is the number of heads when a fair coin is flipped 12 times

Find P(X = 4)

• 0.12

• 0.19

• 0.81

• 0.93

Which of the following is false about binomial probabilities?

• Their distributions are approximately symmetric.

• Trials must be fixed.

• Events musts be independent.

• The probability of success must be 0.50