True or False 1 Mutually exclusive events are also independe

True or False?

1. Mutually exclusive events are also independent.

2. If events A and B are independent, then the probability of A given B, that is, P(A|B) is generally not equal to 0.

3. Events that have no sample space outcomes in common and, therefore cannot occur simultaneously are referred to as independent events.

4. In a binomial distribution the random variable X is continuous.

5. The variance of the binomial distribution is ?np(1-p).

6. The binomial experiment consists of n independent, identical trials, each of which results in either success or failure and the probability of success on any trial must be the same.

7. The mean and variance are the same for a standard normal distribution.

8. In a statistical study, the random variable X = 1, if the house is colonial and X = 0 if the house is not colonial, then it can be stated that the random variable is discrete.

9. For a discrete random variable which can take values from 0 to 150, P(X ? 100) is greater than P(X<100).

10. The number of defective pencils in a lot of 1000 is an example of a continuous random variable.

11. All continuous random variables are normally distributed.

Solution