4. According to Business Insider, the weight of professional athletes, measured in pounds, is (approximately) normally...
4. According to Business Insider, the weight of professional athletes, measured in pounds, is (approximately) normally distributed with mean 220 and variance 2500, ie., XM220,2500), where X is a random variable for the weight. a) Compute the proportion of professional athletes whose weights are more than 250 pounds. b) The height of professional athletes (in inches) is well modeled by Y 52 0.X State the name of the distribution and parameter values for I c) Calculate c such that P(Y-74 c) 0.777 d) For any normal distribution with mean μ and variance σ2, Q1-15/QR-μ-2.68σ and Q3 + 1.51QR-μ + 2.680, where IQR stands for the inter-quartile range. Calculate PG-2.68σ X μ + 2.680), where μ-E(X] and σ2-Var(X