Poisson

1. Passengers of the areas lines arrive at random andindependently to the documentation section at the airport, theaverage frequency of arrivals is 1.0 passenger per minute.

to. What is the probability of non-arrivals in a one minuteinterval?

b. What is the probability that three or fewer passengers arriveat an interval of one minute?

C. What is the probability not arrived in a 30 secondinterval?

d. What is the probability that three or fewer passengers arrivein an interval of 30 seconds?

2. The average number of spots per yard of fabric follows aPoisson distribution. If λ = 0.2 spot per square yard.

to. Determine the probability of finding 3 spots in 2 squareyards.

b. What is the probability of finding more than two spots in 4square yards?

C. What is the average stain in 10 square yards?

Hypergeometric

1. It is known that of 1000 units of ACME cars of a lot of 8000,they are red. If 400 cars were sent to a wholesaler, what is theprobability that you will receive a hundred or less red cars.(Assume X = red auto)

a) P (X <= 100) =? (Hypergeometric)

b) P (X> 50) =?

c) E (x) = expected value red cars

I. Continuous Distribution: Normal

1. Long distance telephone calls have a normal distribution withµ x = 8 minutes and σx = 2 minutes. Taking a unit up.

to. What is the probability that a call will last between 4minutes and 10 minutes?

b. What is the probability that a call will last less than 9minutes?

C. What is the value of X so that 12% of the experiment values​​are greater than it?

d. If samples of size 64 are taken:

i. What proportion or probability of the sample means of thecalls will be between 7 minutes and 9 minutes?

ii. What proportion or probability of the sample means of thecalls is greater than 5 minutes?

iii. Between that two values ​​from the sample mean are 90% ofthe data.

Exponential

1. The time to fail in hours of a laser beam in a cytometricmachina can be modeled by an exponential distribution with λ =.0005

to. What is the probability that a laser will fail more than10000 hours?

b. What is the probability that a laser will fail less than20,000 hours?

C. What is the probability that a laser will fail between 10,000and 20,000 hours?