The lifetime (in days) of a certain electronic component that operates in a high temperature environment is lognormally distributed with 1 2 and 0 4 a Find the mean lifetime b Find the probability that a component lasts between three and six days c Find the median lifetime d Find the 90th percentil...

a E Y e 2 2 e 1 2 0 4 2 2 3 5966 b P 3 Y 6 P ln3 ln Y ln6 P 1 0986 ln Y 1 791 ...

The lifetime (in days) of a certain electronic component that operates in a high-temperature environment is lognormally

Question:

The lifetime (in days) of a certain electronic component that operates in a high-temperature environment is lognormally distributed with μ = 1.2 and σ = 0.4.
a. Find the mean lifetime.
b. Find the probability that a component lasts between three and six days.
c. Find the median lifetime.
d. Find the 90th percentile of the lifetimes.