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From prior experience, a freight company knows that the shipping containers that it receives have an...

From prior experience, a freight company knows that the shipping containers that it receives have an average weight of 1.50 tons and a standard deviation of 0.25 tons. Consider a cargo ship with a cargo capacity of 93 tons.

a. What is the average weight and standard deviation of 60 randomly selected containers?

b. Why can we state that the distribution of the total weight of 60 randomly selected containers is normal?

c. What is the probability that the ship’s cargo capacity of 93 tons is exceeded if 60 randomly selected containers are loaded onto it? Specify the R command and output generated to calculate the probability.

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Math   Statistics-And-Probability   
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