g Suppose that X has an exponential distribution with ? = 2. Determine the following: (a) P(X ≤ 0) (b) P(X ≥ 2) (c) P(X ≤ 1) (d) P(1< X <2) (e) Find the value of x such that P(X < x) = 0.05.

Fabian harvests 10 pounds of tomatoes from his garden. he needs 225 pounds to make a batch of soup. if he sets aside 2.8 pounds of tomatoes to make spaghetti sauce, how many batches of soup can fabian make?

Successful implementation of a new system is based on three independent modules. module 1 works properly with probability 0.96. for modules 2 and 3, these probabilities equal 0.95 and 0.90. compute the probability that at least one of these three modules fails to work properly.

Find the condition that the zeros of the polynomial f(x) = x^3+3px^2+3px+r may be in a.p.