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

Question

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 3. 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. O B. ° C. 0 D. The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other. The two events are dependent because the occurrence of one affects the probability of the occurrence of the other. The two events are dependent because the occurrence of one does not affect the probability of the occurrence of the other. The two events are independent because the 5% guideline indicates that they may be treated as independent

Explanation / Answer

We have P(A) = 0.5 and P(B) = 1/17.

a. Since a baby being a girl and the roll of a dice are in no ways affecting the outcome of each other, the answer is:

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

b. Since the events are independent,

P(A and B) = P(A) P(B)

= 0.5 * 1/17

= 0.0294.

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---