Question

Use the normal distribution of fish lengths for which the mean is 1111 inches and the standard deviation is 44 inches. assume the variable x is normally distributed. left parenthesis a right parenthesis(a) what percent of the fish are longer than 1212 ​inches? left parenthesis b right parenthesis(b) if 300300 fish are randomly​ selected, about how many would you expect to be shorter than 77 ​inches?

Answer 1

(a) P(x > 12) ≈ 0.4013
About 40% of the fish are longer than 12 inches.

(b) 300*P(x < 7) ≈ 48
about 48 of 300 fish could be expected to be shorter than 7 inches.