a) What is the probability he gets at least eight bull's eyes if he shoots 10 times? b) If he shoots until he gets eight bull's eyes, what is the probability he needs at most ten shots? c) What is the expected number of times in the long run that the marksman will score a bull's eye in 10 shots? d) What is the expected number of shots in the long run that the marksman will need to take to score 8 bull's eye? e) On average, how many non-bull's eye shots will the marksman take before scoring

a) What is the probability he gets at least eight bull's eyes if he shoots 10 times? b) If he shoots until he gets eight bull's eyes, what is the probability he needs at most ten shots? c) What is the expected number of times in the long run that the marksman will score a bull's eye in 10 shots? d) What is the expected number of shots in the long run that the marksman will need to take to score 8 bull's eye? e) On average, how many non-bull's eye shots will the marksman take before scoring

Name: A marksman scores a bull's eye on 90% of his shots. (Assume the shots
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Description: A marksman scores a bull's eye on 90% of his shots. (Assume the shots are independent.)(a) What is the probability he gets at least eight bull's eyes if he shoots 10 times?(b) If he shoots until he gets eight bull's eyes, what is the probability he

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

A marksman scores a bull's eye on 90% of his shots. (Assume the shots are independent.)
(a) What is the probability he gets at least eight bull's eyes if he shoots 10 times?
(b) If he shoots until he gets eight bull's eyes, what is the probability he needs at most
ten shots?
(c) What is the expected number of times in the long run that the marksman will score
a bull's eye in 10 shots?
(d) What is the expected number of shots in the long run that the marksman will need
to take to score 8 bull's eye?
(e) On average, how many non-bull's eye shots will the marksman take before scoring
the first bull's eye?

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