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

Question

A ski gondola carries skiers to the top of a mountain. It bears a plaque stating that the maximum capacity is 16 people or 2608 lb. That capaciy will be exceeded f 16 people have weights with a mean greater than16 deviation of 41 lb. Complete parts a through c below a. Find the probability that 0.6226 (Round to four decimal places as needed.) 2608 lb 163 lb. Assume that weights of passengers are normally distributed with a mean of 175.8 ib and a standard if an individual passenger is randomly selected, their weight will be greater than 163 lb. weight is greater than the gondola b. Find the probabity that 16 randomly selected maximum capacity of 2608 Ib) passengers will have a mean weight that is greater than 163 Ib (so that their total (Round to four decimal places as needed.) on se 3

Explanation / Answer

solutionA:

mean=175.8

sd=41

P(Xbar>163)

Z=xbar-mu/sd

=163-175.8/41

=-0.312

P(Z>-0.312)

=P(Z<0.312)

=0.6217

ANSWER:0.6217

Solutonb:

z=xbar-mu/s/sqrt(n)

=163-175.8/41/sqrt(16)

=-1.249

P(Z>-1.249)

=P(Z<1.249)

=0.8944

ANSWER:0.8944

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