4. Let X denote the random variable that calculates the height of male (measured in inches) sampled from the US population. As per CDC, x 69 and ox 3. Let's assume that X~ N(μx,σ). (a) Suppose p= P(X≥72). Interpret this probability. (b) Suppose we randomly pick 10 men from the population, what is the probability that at least 7 of them will be taller than 72 inches? What assumptions are you making? (c) Suppose we randomly pick 10 men from the population. Each of these men will be classified as acceptable/unacceptable, with P(acceptable) p (0,1). Let N count the number of acceptable men in a sample of 10 men. Calculate P(N >7) as a function of P, say A(p). = (d) Plot A(p), for pЄ (0,1). Find the point po such that A(po) 0.95. How would you interpret this number? (e) Given the value of po from last part, let zo be the number such that P(X > 0) = Po- How will you interpret the number 10?