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A survey of 250 lobster fisherman found that they catch an average of 32 pounds of lobster per day with a standard dev of four pounds.

1. A survey of 250 lobster fisherman found that they catch an average of 32 pounds of lobster per day with a standard dev 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?
2. The standard deviation of a distribution is 20. If a sample of 225 is selected, what is the standard error of the mean?

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