The daily demand, D, of sodas in the break room is:D 0 1 2 3P(D=d) 0.1 0.2 0.4 0.3i) Find the probability that the demand is at most 2.ii) Compute the average demand of sodas.iii) Compute SD of daily demand of sodas.

9. Find the probability of z occurring in the indicated region. J 0 1.75

Need question d and e answers

A system component has malfunctioned, and the delivery time, Y, of a new part is uniformly distributed on the interval of 0 to 3 days; i.e. it can arrive at anytime over the next three days. The system must be shut down until the new part arrives. The cost incurred (in thousands of dollars) due to this interruption is C = 5 + 2Y². a. Find the probability that the cost incurred due to the interruption is less than $13,000. (Hint: Think in terms of days or use P(g(Y) < c) = P(Y < g¬l(c)).) b. Find the expected value of C. c. Find the standard deviation of C.