F17_latestart _M13A7_40492 Intro Statistics (T Th 3-5:15P) wesley xiao | 11/7/17

Question

F17_latestart _M13A7_40492 Intro Statistics (T Th 3-5:15P) wesley xiao | 11/7/17 3:58 PM Test: Chapter 5 Exam Submit Test This Question: 1 pt 20 of 26 (13 complete) This Test: 26 pts possible Use the normal distribution of fish lengths for which the mean is 11 inches and the standard deviation is 4 inches. Assume the variable x is normally distributed (a) What percent of the fish are longer than 14 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 14 inches (Round to two decimal places as needed.) fish to be shorter than 8 inches. (b) You would expect approximatelyh Round to the nearest fish.) Enter your answer in each of the answer boxes.

Explanation / Answer

a) P(X > 14)

= P(z > (14 - 11)/4)

= P(z > 0.75)

= 0.2266

b) By symmetry,

P(X > 14) = P(X < 11) = 0.2266

Hence,

Expected number of fish shorter than 8 inches = 200*0.2266 = 45

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