The Army football team has a 92% chance of beating Hawaii this coming weekend in
ID: 3070051 • Letter: T
Question
The Army football team has a 92% chance of beating Hawaii this coming weekend in football. The Cleveland Browns football team has an 83% chance of beating the New Orleans Saints this weekend. As Army/Hawaii is a college game and Browns/Saints is a pro game, independence can be assumed a. What is the probability that both Army and the Cleveland Browns win? Show all work! What is the probability that between Army and Cleveland, one will win and one will lose? Show all work! b. An unfair coin has a probability of getting a head that is 2. What is the probability that you don't get your first head until the 4th flip? Show all work!Explanation / Answer
(1) Probability of Army football team winning = 0.92
Probability of Army football team losing = 0.08
Probability of Cleveland Browns football team winning = 0.83
Probability of Cleveland Browns football team losing = 0.17
(a) Probability of both Army and Cleveland Browns football teams winning = 0.92 * 0.83 = 0.7636
(b) Probability of one winning and one losing = (0.92 * 0.17) + (0.08 * 0.83) = 0.2228
(2) Let X be the number of trials required to get the first head.
Probability of getting heads = 0.2 = p
Hence, X ~ Geometric(p = 0.2).
P(X = 4) = (1 - p)3 * p = 0.1024
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.