Please help me to answer these questions and give me brief explanation, thank you.

1.If the random variable X is normally distributed with a mean of 60 and a variance of 100, then P(X >66) is:

a. 0.27 b. 0.49 c. 0.69 d. 0.89 e. None of the above

2.Suppose 30% of the BMWs sold in Australia were made in Germany. A sample of 20 BMWs were taken. What is the probability that 10 or fewer the selected BMWs were made outside Germany?

a. 0.05 b. 0.43 c. 0.95 d. 0.98 e. None of the above

3.The number of customers shopping at a local supermarket follows a Poisson distribution with a mean of 10 people per hour. The probability that over the next hour 6 people will shop at the local supermarket is:

a. 0.01 b. 0.03 c. 0.05 d. 0.06 e. None of the above

4.Consider two independent events A and B. The probability that event A occurs is 0.40 and the probability that event A occurs when event B occurs is 0.40, then P(B) is:

a. 1.0 b. 0.6 c. 0.4 d. 0.2

e. P(B) cannot be determined with the information given

5.If E(X2) is 14 and the standard deviation of X is 2, what is the value of the expected value of X?

a. 2.25 b. 3.00 c. 3.16 d. 5.50

e. None of the above