The storage time (in months) until a collection of long-life Li/SO4 batteries become unusable was modeled in Morris (1987)9 as a Weibull distributed random variable with ζ = 2 and β = 10. Let us refer to this variable as the battery's "maximum storage life," MSL.
(i) What is the "most likely" value of the MSL? (By de?nition, the "most likely" value is that value of the random variable for which the pdf attains a maximum.)
(ii) What is the median MSL? By how much does it differ from the expected MSL?
(iii) What is the probability that a battery has an MSL value exceeding 18 months?