Question

A) If two events A and B are​ __________, then​ P(A and ​B)=​P(A)​P(B).

complements

independent

simple events

mutually exclusive

B)

The sum of the probabilities of a discrete probability distribution must be​ _______.

less than or equal to zero

equal to one

between zero and one

greater than one

C) Which of the below is not a requirement for binomial​ experiment?

The probability of success is fixed for each trial of the experiment.

The trials are mutually exclusive.

For each trial there are two mutually exclusive outcomes.

The experiment is performed a fixed number of times.

D) If p is the probability of success of a binomial​ experiment, what is the probability of​ failure?

−p

x/n

n/x

1-p

Answer 1

A) independent

Explanation :

In probability the two events A and B are said to be independent if they satisfies the Condition P( A and B) = P(A) P(B).The two events A and B are mutually exclusive then P( A and B) = 0

B) equal to one

Explanation:

The sum of the probabilities in a discrete probability distribution will be always equal to one. All probabilies in a discrete probability distribution will be always lies between 0 and 1.

C)The experiment is performed a fixed number of times

Explanation :

In a binomial experiment there are no fixed trails and consists of "n" repeated trials with two possible outcomes "success" and "failure". The probability of success is denoted by "p" and it remains same on every trial. In these two outcomes the trials will be independent or mutually exclusive.

D) 1-p

Explanation:

In a binomial experiment there are two possible outcomes success and failure. Success is denoted by "p" and failure is "q".

In binomial experiment:

p+q = 1

q =1-p