- THE STANDARD NORMAL DISTRIBUTION WHAT'S A GOOD BATTING AVERAGE?
1. In baseball, a player's batting average is the proportion of times that the player gets a hit out of his
total number of times at bat. Suppose we select a Major League Baseball player at random. The
random variable X = the player's batting average can be modeled by a normal distribution with
mean y = 0.261 and standard deviation o = 0.034. Use the 68-95-99.7 rule to approximate:
(a) The probability that a randomly selected player has a batting average greater than 0.329
I
p(0.193)
(b) P(0.193 s X s 0.295)