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Solved: Using a Distribution to Find Probabilities In
Chapter 4, Problem 15E(choose chapter or problem)
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine whether the events are unusual. If convenient, use a table or technology to find the probabilities.
Football player Tom Brady completes a pass 63.7% of the time. Find the probability that (a) the first pass he completes is the second pass, (b) the first pass he completes is the first or second pass, and (c) he does not complete his first two passes.
Questions & Answers
QUESTION:
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine whether the events are unusual. If convenient, use a table or technology to find the probabilities.
Football player Tom Brady completes a pass 63.7% of the time. Find the probability that (a) the first pass he completes is the second pass, (b) the first pass he completes is the first or second pass, and (c) he does not complete his first two passes.
ANSWER:
Step1 of 4:
From the given problem we have an experiment, In which a Football player Tom Brady completes a pass 63.7% of the time.
Here our goal is:
a). We need to find the probability that the first pass he completes is the second pass.
b). We need to find the probability that the first pass he completes is the first or second pass.
c). We need to find the probability that he does not complete his first two passes.
Step2 of 4:
a).
Let,
\(\begin{aligned} p & =63.7 \% \\ & =0.637 \end{aligned}\)
Let us consider a random variable \(x\) that pre