Reference no: EM132245742

Question 1. Compute the mean and variance of the following probability distribution (Round your answer to 2 decimal places)

X             P(X)

6              0.10

12           0.35

18           0.25

24           0.30

Question 2. Given a binomial distribution with n = 4 and Π = 30. Determine the probabilities of the following events using the binomial formula (Round your answer to 4 decimal places.)

A.X = 2

Probability

B.X = 3     Probability

Question 3. A recent CBS news survey reported that 73% of adults felt the US. Treasury should continue making pennies.

Suppose we select a sample of 11 adults

Expected adults

A1. How many of the 11 would we except to indicate that the treasury should continue making pennies. (Round the answer 2 decimal places)

A2. What is the standard deviation (round your answer 4 decimal place)

B. What is the likely hood that exactly 8 adults would indicate treasury should continue making payments (Round your answer 4 decimal place)

C. What is the likelihood that exactly 8 adults would indicate the treasury should continue making pennies (Round your answer to 4 decimal places)

Likelihood

18-29    40%

30 -  44  40%

45 - 64 50%

64 - Over  71%

Question 4. Compute the mean and variance of the following discrete probability distribution. (Round your answer 2 decimal places )   

 X            P(X)

0              .2

1              .4

2              .3

3              .1