A novice marksman is shooting at a target 1000 feet away. The probability of his hitting the target is 0.3. a. What is the probability that he hits the target on the 25th shot? b What is the probability that he will have to shoot more than 200 times to hit the target? c. What is the probability that the number of shots he has to take to hit the target is greater than or equal to 60? d. What is the probability it will take him more than 1020 shots to hit it? e. What is the probability that the number of shots he will have to make to hit the target is 20 or fewer? f. What is the expected number of shots it will take him to hit the target? g. What is the variance of the number of shots needed to hit the target?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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A novice marksman is shooting at a target 1000 feet away. The probability of his hitting the target is 0.3.

a. What is the probability that he hits the target on the 25th shot?

b What is the probability that he will have to shoot more than 200 times to hit the target?

c. What is the probability that the number of shots he has to take to hit the target is greater than or equal to 60?

d. What is the probability it will take him more than 1020 shots to hit it?

e. What is the probability that the number of shots he will have to make to hit the target is 20 or fewer?

f. What is the expected number of shots it will take him to hit the target?

g. What is the variance of the number of shots needed to hit the target?

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