# Standard Distribution Probability: Calculation based on Z score

In a particular region of Cape Cod, it is known that lobstermen trap on average of 32 pounds of lobster per day with a standard deviation of four pounds. If a random sample of 30 lobster fishermen is selected, what is the probability that their average catch is less than 31.5 pounds?

Round your answer to four decimal places. Simply provide the numerical value. For example, 0.1234 would be a legitimate entry.

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#### Solution Preview

The sampling distribution of sample mean is normal with µ =32 and standard deviation = ...

#### Solution Summary

The solution provides step by step method for the calculation of probability calculation based on Z score distribution of sample mean. Formula for the calculation and interpretations of the results are also included.

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