Hi! I need someone to double-check the answers for Q8 and Q11.

8. The total duration of baseball games in the major league in the 2011 season is uniformly distributed between 447 hours and 521 hours inclusive. (a) (4 points) What is the probability that the duration of games for a team for the 2011 season is between 465 and 500 hours? Pl 2011 game duration = P( 465 (x 2 500) = 500-465 521 - 447 = 0:4730 (b) (4 points) What is the 70th percentile for the duration of games for a team for the 2011 season? P(OLLK ) = K = 0. 70 sal - 447 = K = 0.70 x 74 K = 51811. (10 points) A big airplane carries 360 passengers. Assume that the passenger weight (including clothing and luggage) has mean 250 pounds and standard deviation 90 pounds. What capacity (in pounds) should the plane require to be 95% sure that the total weight of the passengers does not exceed the capacity? Mean (M ) = 250 pounds Standard deviation ( 6 ) = 90 pounds Sample size (n) = 360 passengers 9 51. sure = 2 = 165 for one failed so to calculate the capacity , use the formula : M + 2 7 6 n = 250 + 1.65 x 90 V 360 = 257. 83 pounds Then multiply ( 257.83 x 360 ) = 92, 818.8 pounds