The lifetime, in hours, of a head gasket of a cylinder in a car engine is distributed aslognormal with parameters a = 10.328 and ß = 1.575.(a) Determine the mean. 105694.96120(b) Determine the standard deviation. 349732.63296(c) Find the probability that the lifetime of the head gasket is between 5748 and8435 hours.

Answered: The lifetime, in hours, of a head…

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 (Y) of a semiconductor laser has a lognormal distribution with a mean of 10 and a standard deviation of 5. a. Calculate the parameters of the lognormal distribution. b. Determine the probability that a lifetime exceeds 10,000 hours. c. Determine the lifetime that is exceeded by 90% of lasers.
The random variable X has an exponential distribution: X ~ Exponential(0.2). Find the following: (a) P(2 < X < 10) (b) P(X > 6) (c) Find the 70th percentile for X
If the power received at the MU is lognormal with standard deviation of 9dB, the outage probability can be expressed as erfc(x)/2. determine the value of x given the average power received is -97dBm and the threshold power is -101dBm.
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