Question

# For the given pair of events A and​ B, complete parts​ (a) and​ (b) below. ​A:...

For the given pair of events A and​ B, complete parts​ (a) and​ (b) below.

​A: When a baby is​ born, it is a boy.

​B: When a 19-sided die is​ rolled, the outcome is 4.

a. Determine whether events A and B are independent or dependent.​ (If two events are technically dependent but can be treated as if they are independent according to the​ 5% guideline, consider them to be​ independent.)

b. Find​ P(A and​ B), the probability that events A and B both occur.

a. Choose the correct answer below.

A.

The two events are dependent because the occurrence of one does not affect the probability of the occurrence of the other.

B.

The two events are independent because the​ 5% guideline indicates that they may be treated as independent.

C.

The two events are dependent because the occurrence of one affects the probability of the occurrence of the other.

D.

The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other.

b. The probability that events A and B both occur is

a) D.The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other.

b.The probability that events A and B both occur is 0.1000.

(1/2) x (1/5) = 0.1

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