Question 4: The Weibull distribution has the functional form
f(x) = (a/B) * (x/B)^(a-1) * e^(-(x/B)^a) for x > 0
f(x) = 0 elsewhere
Lifetime of mosquitoes, in hours, has approximately a Weibull distribution with a = 2 and B = 4. Find the probability that a mosquito will die in less than 100 hours. Find the expected value of the lifetime for these mosquitoes. Find the variance of the lifetime for these mosquitoes.