Suppose that out of 100 million men in the United States, 23,000 are at least 7 feet tall. Suppose that the heights of U.S. men are independent Gaussian random variables with a expected value of 5′10′′5^{\prime} 10^{\prime \prime}5′10′′. Let N equal the number of men who are at least 7′6′′7^{\prime} 6^{\prime \prime}7′6′′ tall. (a) Calculate σx\sigma xσx, the standard deviation of the height of U.S. men. (b) In terms of the Φ(⋅)\Phi(\cdot)Φ(⋅) function, what is the probability that a randomly chosen man is at least 8 feet tall? (c) What is the probability that no man alive in the United States today is at least 7′6′′7^{\prime} 6^{\prime \prime}7′6′′ tall? (d) What is E[N]?
The main function of a hot holding unit is to?
Consider the second-order system defined by C(s)R(s)=s+1s2+2ζs+1\frac{C(s)}{R(s)}=\frac{s+1}{s^{2}+2 \zeta s+1}R(s)C(s)=s2+2ζs+1s+1 where = 0.2, 0.4, 0.6, 0.8, 1.0. Plot a three-dimensional diagram of ζ\zetaζ the unit-step response curves.
Identify What is a hurricane?