Question

A ski gondola carries skiers to the top of a mountain. It bears a plaque stating that the maximum capacity is

1212

people or

20402040

lb. That capacity will be exceeded if

1212

people have weights with a mean greater than

StartFraction 2040 l b Over 12 EndFraction equals 1702040 lb12=170

lb. Assume that weights of passengers are normally distributed with a mean of

176176

lb and a standard deviation of

42.142.1

lb. Complete parts a through c below.

a. Find the probability that if an individual passenger is randomly selected, their weight will be greater than

170170

lb.

Answer 1

n = 12

µ = 176

sd = 42.1

a)

                               

                                = P(Z > -0.49)

                                = 1 - P(Z < -0.49)

                                = 1 - 0.3121

                                = 0.6879