The lifetime of two light bulbs are modeled as independent and exponential random variables x and y, with parameters lambda and mu, respectively. the time at which one of those two light bulb first burns out is z = min (x, y), what is the pdf of z?

Step-by-step explanation:

The PDF of X is

The PDF of Y is

The means of X and Y are respectively,

so we can see that the larger the parameter, the smaller the mean. Hence the PDF of Z = min(X, Y) is an exponential with the largest parameter of the two.

Therefore, the PDF of Z is

y > 1/3x

y < = -x + 4

hope this : )

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

it alot will look like this 4.4