Question

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

1616

people or

27202720

lb. That capacity will be exceeded if

1616

people have weights with a mean greater than

StartFraction 2720 l b Over 16 EndFraction equals 1702720 lb16=170

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

176.8176.8

lb and a standard deviation of

41.641.6

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.

nothing

(Ro

Answer 1

µ = 176.8

sd = 41.6

                           

                            = P(Z > -0.16)

                            = 1 - P(Z < -0.16)

                            = 1 - 0.4364

                            = 0.5636