Alice walks into a post office with 2 clerks. both clerks are in the midst of serving

customers, but alice is next in line. the clerk on the left takes an expo(λ1) time to

serve a customer, and the clerk on the right takes an expo(λ2) time to serve a customer. let t be the amount of time alice has to wait until it is her turn.

(a) write down expressions for the mean and variance of t, in terms of double integrals

(which you do not need to evaluate).

(b) find the distribution, mean, and variance of t, without using calculus.

too hard the other guy did it

step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

that one look

step-by-step explanation: