Solution Found!
Each of three football players will attempt to kick a
Chapter 1, Problem 7E(choose chapter or problem)
Each of three football players will attempt to kick a field goal from the 25-yard line. Let \(A_{i}\) denote the event that the field goal is made by player i, i = 1, 2, 3. Assume that \(A_{1}\), \(A_{2}\), \(A_{3}\) are mutually independent and that \(P\left(A_{1}\right)=0.5\), \(P\left(A_{2}\right)=0.7\), \(P\left(A_{3}\right)=0.6\).
(a) Compute the probability that exactly one player is successful.
(b) Compute the probability that exactly two players make a field goal (i.e., one misses).
Questions & Answers
(1 Reviews)
QUESTION:
Each of three football players will attempt to kick a field goal from the 25-yard line. Let \(A_{i}\) denote the event that the field goal is made by player i, i = 1, 2, 3. Assume that \(A_{1}\), \(A_{2}\), \(A_{3}\) are mutually independent and that \(P\left(A_{1}\right)=0.5\), \(P\left(A_{2}\right)=0.7\), \(P\left(A_{3}\right)=0.6\).
(a) Compute the probability that exactly one player is successful.
(b) Compute the probability that exactly two players make a field goal (i.e., one misses).
ANSWER:Step 1 of 3
Given, each of three football players will attempt to kick a field goal from the 25-yard line.
Let \(A_{i}\) denote the event that the field goal is made by player i , where i = 1, 2, 3.
We have to assume that \(A_{1}\), \(A_{2}\), and \(A_{3}\)are mutually independent
Where, \(P\left(A_{1}\right)=0.5\), \(P\left(A_{2}\right)=0.7\), and \(P\left(A_{3}\right)=0.6\)
Reviews
Review this written solution for 22085) viewed: 729 isbn: 9780321923271 | Probability And Statistical Inference - 9 Edition - Chapter 1.4 - Problem 7e
Thank you for your recent purchase on StudySoup. We invite you to provide a review below, and help us create a better product.
No thanks, I don't want to help other students