Answered: Suppose that for a certain brand of…

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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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 77 parameter of m = 1 m = 77 a. What is the expected battery life? Expected value is the mean, pu = - m Online Expected life (in months) is e b. What is the standard deviation in ages? The formula is o = ju. cover Standard deviation (in months) is am Proctor let Zoom c. Find the probability that a battery lasts less than c = 71 months. Round to three decimals. The formula is P(X < x) = 1 - emz. P(X < 71) = 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 12 étv MacBook Air F2 F3 FA AA 411 %23 3. 24 4. & 2 5 6 8 F H.

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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12
éty
MacBook Air
780
80
F3
F5
74
411
%23
24
2
3
5
6
8
R

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