Use the normal distribution of fish lengths for which the mean is 8 inches and t

Question

Use the normal distribution of fish lengths for which the mean is 8 inches and the standard deviation is 2 inches. Assume the variable x is normally distributed. (a) What percent of the fish are longer than 11 inches? (b) If 500 fish are randomly selected, about how many would you expect to be shorter than 6 inches? (a) Approximately % of fish are longer than 11 inches. (Round to two decimal places as needed.) (b) You would expect approximately fish to be shorter than 6 inches (Round to the nearest fish.)

Explanation / Answer

a) P( X>11)

P( z> ( 11-8)/2)

P( z>1.5)

= 6.68%

B) P( x<6)

= P( z<(6-8)/2)

79

So, answer is 79

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