I\'m struggling with how to work the following problem: A ferry will safely acco

Question

I'm struggling with how to work the following problem: A ferry will safely accomomodate 66 tons of passenger cars. Assume that the mean weight of a passenger car is 1.7 tons with standard deviation of 0.5 tons. If a random sample of 36 cars are loaded onto the ferry, what is the probability that the maximum safe weight will be exceeded? I've been trying to use the normalcdf command to compute the answer to no avail. I have the answer, I just need to know how to work the problem. I've seen this problem posted but I don't get how they are computing the answer after = P(Z > .26). Further explanaition would be greatly appreciated. :)

Explanation / Answer

P(Z > .26)= normalcdf(0.26, 1e99, 0, 1)= 0.3974

(Lower bound=0.26

Upper bound=1e99 (infinity)

mean=0

S.D=1)

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