Question

Suppose that the lifetime (in weeks) of a transistor has a gamma distribution with parameters
α = 4, β = 6. What is the probability that a random transistor will last longer than 30 weeks

Answer 1

Probability Density Function of X is given by:

,

                                      for x > 0

Given:

= 4

= 6

Substituting, we get:

So,

between limits 30 to .

Applying limits, we get:

So,

Answer is:

6.6362 X 10^-73