SOLUTION: The mean weight of all the vehicles in Fiction County is 3650 pounds, and the standard deviation of the weights is 425 pounds. Find the probability that the total weight of a rando

Question 1186966: The mean weight of all the vehicles in Fiction County is 3650 pounds, and the standard deviation of the weights is 425 pounds. Find the probability that the total weight of a random sample of fifty-three Fiction County vehicles exceeds 190,800 pounds.
Round your answer to four decimal places.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
the average weight would be 190800/53=3600 pounds
the sd is s/sqrt(n)=425/sqrt(53)=58.38 pounds
z=(3600-3650)/58.38
>-50/58.38=-0.856
probability is 0.8041
or
3650*53=193450
sd=425*sqrt(53)=3094;
z>(190800-193450)/3094=-0.8565
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