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.

10

step-by-step explanation:

7+3=10

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w