Explanation Given: The expected mean lifetime ( μ ) of Christmas tree light is 200 and the standard deviation ( σ ) is 2 . Approach: The Chebychev’s inequality is, P ( μ − k σ ≤ X ≤ μ + k σ ) ≥ 1 − 1 k 2 Here, X is the random variable, μ is the mean and σ is the standard deviation, the probability of chosen outcome lies between μ − k σ and μ + k σ is at least 1 − 1 k 2 , where k is the number of standard deviation from mean. Calculation: The value of k is determined by lower bound or upper bound, By lower bound. μ − k σ = 190 ( 200 ) − k ( 2 ) = 190 k = 5 By upper bound, To determine (b) To find: The number of lights that are likely to require replacement between 180 hr and 220 hr .

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ISBN: 9780100478183

Author: Tan

Publisher: YUZU

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Chapter 8.3, Problem 46E

To determine

(a)

To find:

The bound on the probability that one of these Christmas tree lights will last between 190 hr and 210 hr.

To determine

(b)

To find:

The number of lights that are likely to require replacement between 180 hr and 220 hr.

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Chapter 8.3, Problem 45E

Chapter 8.3, Problem 47E

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(a) To find: The bound on the probability that one of these Christmas tree lights will last between 190 hr and 210 hr .

Solution Summary: The author explains that the bound on probability of a Christmas tree lights life lie between 190hr and

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(a)

To find:

The bound on the probability that one of these Christmas tree lights will last between 190 hr and 210 hr.

(b)

To find:

The number of lights that are likely to require replacement between 180 hr and 220 hr.

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Chapter 8 Solutions

(a) To find: The bound on the probability that one of these Christmas tree lights will last between 190 hr and 210 hr .

Solution Summary: The author explains that the bound on probability of a Christmas tree lights life lie between 190hr and

Concept explainers

Videos

(a) To find: The bound on the probability that one of these Christmas tree lights will last between 190 hr and 210 hr.

(b) To find: The number of lights that are likely to require replacement between 180 hr and 220 hr.

Want to see the full answer?

Chapter 8 Solutions

(a)

To find:

The bound on the probability that one of these Christmas tree lights will last between 190 hr and 210 hr.

(b)

To find:

The number of lights that are likely to require replacement between 180 hr and 220 hr.