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The weight of lobsters caught in the ocean follows a normal distribution with a mean of...

The weight of lobsters caught in the ocean follows a normal distribution with a mean of 1440 grams and a standard deviation of 2h grams.

(a) Given the probability that a lobster caught at random has a weight of not more than 1530 grams is 0.9463. Calculate the value of h and correct the answer to 2 decimal places.

(b) By using the value of h from (a), if 1250 lobsters have a weight between 1350 and 1500 grams, estimate the total number of lobsters caught that day.

Math   Statistics-And-Probability   
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