For the given pair of events A and B, complete parts and below. When a baby is b

Question

For the given pair of events A and B, complete parts and below. When a baby is born, it is a girl When a 17-sided die is rolled, the outcome is 10 Determine whether events A and B are independent or dependent. (If two events are technical dependent but can be treated as if they are independent according to the 5% guideline, consider them to be independent) Find P(A and B), the probability that events A and B both occur. Choose the correct answer below. The two events are independent because the 5% guideline indicates that they should be treated ad independent. 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 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 probability that events A and B both occur is

Explanation / Answer

A: When a baby is born, it is a girl

B: When a 17-sided die is rolled, the outcome is 10

P(A) =0.5 (since there are only 2 possible outcomes a girl or boy)

P(B) = 1/17 = 0.0588 (since every side will have equal chance of turning up,so all 17 sides will have probability 1/17)

a) The 2 events A and B are independent because the occurence of one does not affect the probability of occurrence of the other.

b) P(A and B) = P(A)*P(B) = 0.5 * 0.0588=0.0294

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---