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The lifetime of a certain electronic component used in a laptop computer can be modeled by an exponential distribution with a mean of 4 years, or μx = B = 4 years. (a) Compute the standard deviation of the above distribution. -0y (b) What can you say about the shape of the distribution of X? SD(X) =ox=| years (use two decimals in your answer) The distribution of X is ? (c) You randomly pick a laptop. Find the probability that the certain electronic component will last between 1 years and 4 years. P(1 ≤ X ≤ 4) = (Use four decimals in your answer) (d) If the electronic component in the laptop you chose in (c) has lasted at least 4 years, what is the probability it will last in total at most 8 years? (Use four decimals in your answer) (e) The manufacturer of this electronic component wishes to have a guarantee. This guarantee will state that 3% of components will be replaced free of charge. At what lifetime should the manufacturer set the guarantee, in years? years (Use two decimals in your answer)

The lifetime of a certain electronic component used in a laptop computer can be modeled by an exponential distribution with a mean of 4 years, or μx = B = 4 years. (a) Compute the standard deviation of the above distribution. -0y (b) What can you say about the shape of the distribution of X? SD(X) =ox=| years (use two decimals in your answer) The distribution of X is ? (c) You randomly pick a laptop. Find the probability that the certain electronic component will last between 1 years and 4 years. P(1 ≤ X ≤ 4) = (Use four decimals in your answer) (d) If the electronic component in the laptop you chose in (c) has lasted at least 4 years, what is the probability it will last in total at most 8 years? (Use four decimals in your answer) (e) The manufacturer of this electronic component wishes to have a guarantee. This guarantee will state that 3% of components will be replaced free of charge. At what lifetime should the manufacturer set the guarantee, in years? years (Use two decimals in your answer)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The lifetime of a certain electronic component used in a laptop computer can be modeled by an exponential distribution with a mean of 4 years, or ux B = 4 years. = (a) Compute the standard deviation of the above distribution. SD(X) = 0x = years (use two decimals in your answer) (b) What can you say about the shape of the distribution of X? The distribution of X is ? (c) You randomly pick a laptop. Find the probability that the certain electronic component will last between 1 years and 4 years. P(1 ≤ X ≤ 4) = = (Use four decimals in your answer) (d) If the electronic component in the laptop you chose in (c) has lasted at least 4 years, what is the probability it will last in total at most 8 years? (Use four decimals in your answer) (e) The manufacturer of this electronic component wishes to have a guarantee. This guarantee will state that 3% of components will be replaced free of charge. At what lifetime should the manufacturer set the guarantee, in years? years (Use two decimals in your answer)
Transcribed Image Text:The lifetime of a certain electronic component used in a laptop computer can be modeled by an exponential distribution with a mean of 4 years, or ux B = 4 years. = (a) Compute the standard deviation of the above distribution. SD(X) = 0x = years (use two decimals in your answer) (b) What can you say about the shape of the distribution of X? The distribution of X is ? (c) You randomly pick a laptop. Find the probability that the certain electronic component will last between 1 years and 4 years. P(1 ≤ X ≤ 4) = = (Use four decimals in your answer) (d) If the electronic component in the laptop you chose in (c) has lasted at least 4 years, what is the probability it will last in total at most 8 years? (Use four decimals in your answer) (e) The manufacturer of this electronic component wishes to have a guarantee. This guarantee will state that 3% of components will be replaced free of charge. At what lifetime should the manufacturer set the guarantee, in years? years (Use two decimals in your answer)
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