T2 #10 Apr 5 The lifetime X in months of a pair of walking shoes has gamma distribution with mean μ = 14.4 and standard deviation σ = 4.8. a) Find the parameters α and β of this gamma distribution. b)...

T2 #10 Apr 5

The lifetime X in months of a pair of walking shoes has gamma distribution with mean
μ = 14.4
and standard deviation
σ = 4.8.

a) Find the parameters
α
and
β
of this gamma distribution.

b) Find the probability that a pair of these shoes will last
between 16 months and 24 months, inclusive.