Probability of Hitting a Target The probability that an archer hits the target is p = 0.9, so the probability that he misses the target is q = 0.1. It is known that in this situation the probability that the archer hits the target exactly r times in n attempts is given by the term containing pr in the binomial expansion of (p + q)n. Find the probability that the archer hits the target exactly three times in five attempts.
The probability that the archer hits the target exactly three times in five attempts.
Answer to Problem 56E
The probability of hitting the target is
Explanation of Solution
Given:
The probability of hitting the target is
The identity
Calculation:
The identity
The probability of identity
Thus, the probability of hitting the target is
Chapter 12 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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