Calculate P(Z < 1.5)

Use the Mean Value Theorem and find all possible values of c on the given interval. f(x) = 4x1/3, [0, 1] %3! C = 3/2 0.19 C= 4 3/2 0.77 O c-0.33 C = C = 4 1/3 1//3

Give that  A ∼ Poisson(3) Find  P(A > 2)

Given a pdf that is N(7, 5 2) find P(|x-5|>3

(d) P(|Z|>0.7) = (Round to four decimal places as needed.) (e) P(- 1.1sZs1.2) = (Round to four decimal places as needed.)

A cereal manufacture claims that the gross weight (including packaging) of a box of cereal weight is uniformly distributed between 11.5 oz and 14 oz. You gather 75 boxes and weigh them all together. Let S denote the total weight of 75 boxes of cereal. What is P(S< 930)? Please use the Z-table to provide the answer.

4. Find the value of a so that for f(x) = x³ + ax² - 10x+6 and the interval 0 < x < 4 the location satisfying the Mean Value Theorem is at x = 1.