In basebal, a player's batting average is the proportion of times that the player gets a hit out of his total number of limes at bal, Suppose we select a Major League Baseball player at random. The random vanable X - the player's batting average can be modeled by a normal distribution with mean u - 0.261 and standard deviation o - D.034. Use the 89-95-99.7 rule to approximate 1. Label the values 1. 2, and 3 standard deviations above and below the mean 2. Find he probability that a randomly selected player has a batting average greater than 0.329. Shade the appropriate area under the curve. 3. P(0.193 5 X =0 295) Suppose we convert the randomly selected player's balling average to a > score. Use Table A to find each of the following, Draw a standard normal e stribution with the desired area shaded in each case. 4. Vinai is the probabilty that the z-score is between DISS end for Shade Ina appropriate area under the curve. 5. 45% of batting averages will have a z-score greater than what value? Shade the appropriate area under the curve