Question

weight of men is normal distributed with mean of 185 lb and standard deviation of 39...

weight of men is normal distributed with mean of 185 lb and standard deviation of 39 lb. A water taxi that holds 30 passengers has a maximum capacity of 6000 lb. If taxi is fully loaded with men, what is the probability that it goes over the maximum capacity? Round to 4 decimal places.

Homework Answers

Answer #1

average capacity for a man =6000/30 =200

for normal distribution z score =(X-μ)/σ
here mean=       μ= 185
std deviation   =σ= 39.0000
sample size       =n= 30
std error=σ=σ/√n= 7.1204

probability that it goes over the maximum capacity:

probability = P(X>200) = P(Z>2.11)= 1-P(Z<2.11)= 1-0.9826= 0.0174

( please try 0.0176 if this comes wrong due to rounding)

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