Use the appropriate normal distribution to approximate the resulting binomial distribution. A marksman's chance of hitting a target with each of his shots is 75%. (Assume the shots are independent of each other.) If he fires 40 shots, what is the probability of his hitting the target in each of the following situations? (Round your answers to four decimal places.) (a) at least 35 times (b) fewer than 25 times (c) between 27 and 35 times, inclusive

Use the appropriate normal distribution to approximate the resulting binomial distribution. A marksman's chance of hitting a target with each of his shots is 75%. (Assume the shots are independent of each other.) If he fires 40 shots, what is the probability of his hitting the target in each of the following situations? (Round your answers to four decimal places.) (a) at least 35 times (b) fewer than 25 times (c) between 27 and 35 times, inclusive

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Use the appropriate normal distribution to approximate the resulting binomial distribution.

A marksman's chance of hitting a target with each of his shots is 75%. (Assume the shots are independent of each other.) If he fires 40 shots, what is the probability of his hitting the target in each of the following situations? (Round your answers to four decimal places.)

(a) at least 35 times

(b) fewer than 25 times

(c) between 27 and 35 times, inclusive

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