Let X be a random variable with probability density function Find the value of c: c = Find the cumulative distribution function of X: if x ≤0 F(x) = if 0 < x < 4 if x 4 Sc(4x-x²) if\0 < x < 4 otherwise f(x) = ૨૦

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.