Solution Found!
Barbara and Dianne go target shooting. Suppose that each
Chapter 3, Problem 62P(choose chapter or problem)
Problem 62P
Barbara and Dianne go target shooting. Suppose that each of Barbara’s shot hits a wooden duck target with probability p1 , while each shot of Dianne’s hits it with probability p2 . Suppose that they shoot simultaneously at the same target. If the wooden duck is knocked over (indicating that it was hit), what is the probability that
Both shots hit the duck?Barbara’s shot hit the duck?What independence assumptions have you made?
Questions & Answers
QUESTION:
Problem 62P
Barbara and Dianne go target shooting. Suppose that each of Barbara’s shot hits a wooden duck target with probability p1 , while each shot of Dianne’s hits it with probability p2 . Suppose that they shoot simultaneously at the same target. If the wooden duck is knocked over (indicating that it was hit), what is the probability that
Both shots hit the duck?Barbara’s shot hit the duck?What independence assumptions have you made?
ANSWER:
Step 1 of 3
Given that,
Let B = Barbaras shot hits the duck.
Then, P(B) =
Let D = Dianne’s shot hits the duck.
P(D) =
Let d = duck is hits.