Binomial Geometric Poisson

The random variable Y has binomial distribution Y~B(10,0.4). Find P(3<Y<6)

• 0.6665

• 0.7779

• 0.4515

• 0.2508

The random variable T has binomial distribution T~(40,0.5). Find P(T≤12)

• 0.0032

• 0.0051

• 0.9968

• 0.0083

If X~Po(1.8), find P(2≤X≤4)

• 0.4285

• 0.7983

• 0.5008

• 0.7260

A ball manufacturer claims that only 15% of his balls are defective. If Ali has 6 of these balls to play with at a ball game, find the probability at most 4 balls will be defective.

• 0.9941

• 0.0059

• 0.9996

• 0.9527

A new surgical procedure is successful 85% of the time. the procedure is performed 8 times and it can be assumed that it is independent each time. Find the expected value of the successful operations.

• 1.02

• 6.8

• 0.1275

• 1.2

Salmi expected to receive 4 emails in a week. Find the probability of receiving 8 emails for the next 2 weeks.

• 0.0511

• 0.0297

• 0.5470

• 0.1395

If X~Po(λ) and P(X=0) = 0.0025, find λ.

• 5

• 0

• 4

• 6

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 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)