Question

1. Which of the following statements is correct?

1. If cov(A,B)=0, then A and B are independent.
2. The normal distribution has mean 0.
3. The exponential distribution is a discrete distribution.
4. Non of the above is correct.

Answer 1

A

If cov(A,B)=0, then A and B are independent.

cov(A,B)=0 is not a necessary condition for events to be independent

Hence the statement is FALSE

B

he normal distribution has mean 0.

Normal distribution can have any mean varying from minus infinity to plus infinity, only standard normal distribution has mean 0

Hence the statement is FALSE

C

The exponential distribution is a discrete distribution.

Exponential distribution is a continuous distribution

Hence the statement is FALSE

hence the correct answer is None of the above is correct.