Mathematics, 13.03.2020 04:32 emilyturchon
A gondola (cable car) at a ski area holds 50 people. Its maximum safe load is 10000 pounds. A population of skiers has a distribution of weights with mean 190 pounds and standard deviation 40 pounds. If 50 skiers are randomly chosen from this population, and take the gondola, what is the probability its maximum safe load will be exceeded
Answers: 2
![P(X10000)=P(\dfrac{X-\mu}{\sigma}\dfrac{10000-9500}{282.84})\\\\=P(z1.7671-8)\\\\=1-P(z\leq1.7678)\ \ \ \ [\because\ P(Zz)=P(Z\leq z)]\\\\=1-0.96145\ \ \ [\text{ By p-value of table}]\\\\=0.03855](/tpl/images/0546/1846/432f3.png)
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A gondola (cable car) at a ski area holds 50 people. Its maximum safe load is 10000 pounds. A popula...
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