Answered: d. What is the 80th percentile for…

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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Answer questions d and e.

Transcribed Image Text:Suppose that for a certain brand of battery, the life in months is exponentially distributed with a decay 1 In symbols, we say that the random variable X ~ E(m), where in this case parameter of m = 77 1 m = 77 a. What is the expected battery life? 1 Expected value is the mean, u = m Expected life (in months) is 77 or b. What is the standard deviation in ages? The formula is o = µ. Standard deviation (in months) is 77 c. Find the probability that a battery lasts less than c = 71 months. Round to three decimals. The formula is P(X < x) =1- e-mz P(X < 71) = 0.603 d. What is the 80th percentile for battery life? Round the percent to one decimal. We want the value c for which P(X < c) = 0.8, so 1 -e = 0.8. The 80th percentile is 13 étv MacBook Air 888 F2 F3 F4 F5 44 F7 F8 F9 %23 3 4. 5 6 80 R.

d. What is the 80th percentile for battery life? Round the percent to one decimal.
We want the value c for which P(X < c) = 0.8, so 1 – e = 0.8.
The 80th percentile is
e. Out of a random sample of 83 batteries, how many would you expect to last more than 83 months?
Round to one decimal.
We want to find P(X > 83), and then multiply by the number of batteries in the sample.
The expected number of batteries is
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13
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MacBook Air
OOO
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F4
F2
F3
44
11
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F5
%23
5
7
8.
6
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