The discrete random variable X has probability distribution given by X₂ 1 2 3 P 0.7 2k k (1) Find the value of k. (2) Find E(X),Var (X) and the standard deviation of X.

Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.

If a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)