a. Explanation Given info: In a 10-year period, the mean of people died due to sharks is 6.1 people per year. Calculation: Define the random variable ( x ) as the number of people who died due to sharks. Here, the average number of deaths is 6.1people per year and each occurrence of death is independent of the other. Hence, the random variable follows Poisson distribution. The Poisson distribution formula is as follows: P ( x ) = μ x e − μ x ! Where, x is the number occurrences of the event in a given interval, μ is the mean occurrences of the event, e is a constant and its value is 2.71828. Consider x as 0, μ as 0 b. To determine To find: The probability of getting more than six deaths due to sharks for the next year. To determine: Whether the event is unusual. c. To determine To find: The probability of getting at most five deaths due to sharks for the next year. To determine: Whether the event is unusual.

Elementary Statistics: Picturing the World (7th Edition)

7th Edition

ISBN: 9780134683416

Author: Ron Larson, Betsy Farber

Publisher: PEARSON

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Chapter 4, Problem 4.3.25RE

To determine

To find: The probability of getting exactly threedeaths due to sharks for the next year.

To determine: Whether the event is unusual.

To determine

To find: The probability of getting more than six deaths due to sharks for the next year.

To determine: Whether the event is unusual.

To determine

To find: The probability of getting at most five deaths due to sharks for the next year.

To determine: Whether the event is unusual.

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Chapter 4, Problem 4.3.24RE

Chapter 4, Problem 4.3.26RE

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Chapter 4 Solutions

Elementary Statistics: Picturing the World (7th Edition)

Ch. 4.1 - Determine whether each random variable x is...Ch. 4.1 - A company tracks the number of sales new employees...Ch. 4.1 - Verify that the distribution you constructed in...Ch. 4.1 - Determine whether each distribution is a...Ch. 4.1 - Find the mean of the probability distribution you...Ch. 4.1 - Find the variance and standard deviation of the...Ch. 4.1 - At a raffle, 2000 tickets are sold at 5 each for...Ch. 4.1 - What is a random variable? Give an example of a...Ch. 4.1 - What is a discrete probability distribution? What...Ch. 4.1 - Is the expected value of the probability...

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The probability of getting exactly threedeaths due to sharks for the next year. To determine: Whether the event is unusual.

Solution Summary: The author explains that the probability of getting exactly three deaths due to sharks for the next year is 0.085, which is not lesser than 0.05.

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To find: The probability of getting exactly threedeaths due to sharks for the next year. To determine: Whether the event is unusual.

To find: The probability of getting more than six deaths due to sharks for the next year. To determine: Whether the event is unusual.

To find: The probability of getting at most five deaths due to sharks for the next year. To determine: Whether the event is unusual.

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Chapter 4 Solutions

To find: The probability of getting exactly threedeaths due to sharks for the next year.

To determine: Whether the event is unusual.

To find: The probability of getting more than six deaths due to sharks for the next year.

To determine: Whether the event is unusual.

To find: The probability of getting at most five deaths due to sharks for the next year.

To determine: Whether the event is unusual.