Answer the following:

1.A number is drawn at random from the set {1,2,3...40}. find the probability that the number chosen is:

a)A multiple of 2 and a multiple of 5;

b)Ad multiple of 2 or a multiple of 5; and a

c)A multiple of 3 but not a multiple of 5.

2.A fair die is tossed three times. Find the probability of getting:

a.A three 4's

b.Three 5's

c.Three 4's or three 5's

A.Find the area under the standard normal curve which lies:

a)Between z=0.56 and z=0.96

b)To the right of z=0.75

c)To the left of z=0.10

d)Between z= -0.56 and z=0.55

B. the salaries of teacher of a certain university of west have mean 20,000 and deviation of 4,000.what is the probability a teacher selected at random will have a salary of.

a)More than 20,000

b)Between 20,000 and 30,000

c)More than 25,000

C.To qualify for a Master's degree program in Business Administration at San Sebastian College, candidates must score in the 20on a mental ability test. The test has a mean of 180 and a standard deviation of 25. Find the lowest possible score to qualify. Assume the test score are normally distributed.

Answer the following:

1.A fair die is tossed three times. Find the probability of getting

a.Three 4's

b.Three 5's

2.Two cards are drawn at random from an ordinary deck of 52 playing cards one at a time with replacement. Find the probability of getting two diamonds.

3.A bag contains 4 red marbles and 9 white marbles.What is the probability of drawing two red marbles in a row from the bag if the first marble isnot replaced