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?

Question

Karsyn Noble

Mathematics

1 December, 14:24

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?

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Janessa Tanner · 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.