Question

Tompkins Associates reports that the mean clear height for a Class A warehouse in the United States is 22 feet. Suppose clear heights are normally distributed and that the standard deviation is 4 feet. A Class A warehouse in the United States is randomly selected. (a) What is the probability that the clear height is greater than 16 feet? (b) What is the probability that the clear height is less than 15 feet? (c) What is the probability that the clear height is between 25 and 30 feet? (Round the values of 2 to 2 decimal places. Round your answers to decimal places.) (a) P(x > 16) - (b) P(x < 15) - (c) P(25 SXS 30)

Answer 1

solution ! SE4 X-M S 4 Given mean =22, a) pl&> 16) = P12 > 16) ples *P/2 > 16-22 ) - Plz>-15) PIX 716) = 0.9331 b) p(x< 15) -p122 15) =P(2c 15-22 522) = P124-145) TPla<15)= 0.04005 c) P(25%8? 30) 30-23) =P(0.75<2<2) P1202) – PC 220.45) = 0.9772 0-7733 P(25% X430) = 0.2039 30-22 P( 25-22 25-22 4 < Z L z