Question

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 247 feet and a standard deviation of 52 feet.
Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.

a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 192 feet?

P(fewer than 192 feet) = ____%

b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 204 feet?

P(more than 204 feet) = _____%

Answer 1

Solution Given that x n Normal distribution with ll - 247 and o=52 a) P(x is fewer than 192) P(x < 192) 2-le 192-247 247) p( z < -1,058) 0.1450 14.50% p(2 52 (using a table) 6) P(x is more than 204) P ( x > 204) > 204-247 52 Р. x-u 8 = P(Z > -0.83) I - P(Z <-0.83) I - 0.2033 0.7967 79,67 % (using z table)