Use the normal distribution of fish lengths for which the mean is 9 inches and t

Question

Use the normal distribution of fish lengths for which the mean is 9 inches and the standard deviation is 5 inches. Assume the variable x is normally distributed.

(a) What percent of the fish are longer than 10 inches?

(b) If 200 fish are randomly selected, about how many would you expect to be shorter than 8 inches?

(a) Approximately ___% of fish are longer than 10 inches. (Round to two decimal places as needed.)

(b) You would expect approximately ___ fish to be shorter than 8 inches. (Round to the nearest fish.)

Explanation / Answer

a. P(x>10)=P(z>10-9/5)=P(z>0.2)=0.4207

b. P(xbar<8)=P(z<8-9/(5/sqrt(200))=P(z<-2.83)=0.0023

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.