Homework: HW 4.4 Save Score: 0.5 of 1 pt 3 of 13 (7 complete) HW Score: 26.92%,

Question

Homework: HW 4.4 Save Score: 0.5 of 1 pt 3 of 13 (7 complete) HW Score: 26.92%, 3.5 of 13 pts 4.4.7 Question Help * For the given pair of events A and B, complete parts (a) and (b) below A: When a baby is born, it is a girl B: When a 17-sided die is rolled, the outcome is 5. 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 PIA and B). the probability that events A and B both occur. a. Choose the correct answer below. 0 A. The two events are dependent because the occurrence of one affects the probability of the occurrence of the other. B. The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other ° C. The two events are independent because the 5% guideline indicates that they may be treated as independent. 0 D. The two events are dependent 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 Round to four decimal places as needed.)

Explanation / Answer

P(A) = 1/2 (baby can be a boy or a girl )

P(B) = 1/17 ( only one way to get 5 out of 17 ways )

Clearly birth of a baby has nothing to do with rolling a dice therefore A and B are independent.

Therefore

P (A and B ) = P(A) * P(B) = 1/2 * 1/ 17 = 1/34 = 0.0294

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