The weight of people in a small town in Missouri is known to be normally distrib
ID: 3133599 • Letter: T
Question
The weight of people in a small town in Missouri is known to be normally distributed with a mean of 199 pounds and a standard deviation of 31 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,434 pounds or 17 persons.” What is the probability that a random sample of 17 persons will exceed the weight limit of 3,434 pounds?
The weight of people in a small town in Missouri is known to be normally distributed with a mean of 199 pounds and a standard deviation of 31 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,434 pounds or 17 persons.” What is the probability that a random sample of 17 persons will exceed the weight limit of 3,434 pounds?
Explanation / Answer
From information given, Xi=3434, Xbar=199 and s=31. Substitute the values in following z score equation to obtain the z score. The area corresponding to z score gives the desired probbaility.
z=(Xi-Xbar)/(s)=(3434-199)/31=104.35
The probbaility is 0.00001
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