A ski lift is designed to hold 20,000 pounds, and claims a capacity of 100 persons. suppose the weights of all people using the
lift have a mean of 190 pounds and with a standard deviation of 45 pounds. what is the probability that a random group of 100 people will total more than the weight limit of 20,000 pounds?
<span>A ski lift is designed to hold 20,000 pounds, and claims a capacity of 100 persons. suppose the weights of all people using the lift have a mean of 190 pounds and with a standard deviation of 45 pounds. what is the probability that a random group of 100 people will total more than the weight limit of 20,000 pounds?
Given data: Capacity, x=20,000 lbs n=100 μ=190 σ=45 &se;=σ/sqrt(n)=45/sqrt(100)=4.5 s=population mean population μ and σ are both known, use SE normally distributed. P(s≤x/n)=P(s≤200)=Z((200-190)/4.5)=Z(2.222)=0.98687 => P(s≥x/n)=1-P(s≤x/n)=1-0.98687=0.01313
Answer: probability of 100 people exceeding 20,000 lbs is 1.313%</span>
The answer you already have selected in the image is correct. Even eyeballing it, you can see that the smaller shape fits into the larger shape 4 times.
