70124 (2 complete) This Test: 24 pts p This Question: 1 pt Use the normal distri

Question

70124 (2 complete) This Test: 24 pts p This Question: 1 pt Use the normal distribution of fish lengths for which the mean is 11 inches and the standard deviation is 5 inches. Assume the variable x is normally distributed (a) What percent of the fish are longer than 13 inches? (b) If 300 fish are randomly selected, about how many would you expect to be shorter than 9 inches? (a) Approximately % of fish are longer than 13 inches (Round to two decimal places as needed.) (b) You would expect approximately fish to be shorter than 9 inches Round to the nearest fish) Enter your answer in each of the answer boxes T ype here to search

Explanation / Answer

= 11 = 5

(a) P(x > 13)

= P(z > (13 - 11) / 5)

= P(z > 0.4)

= 0.3446

= 0.35.

(b) P(x < 9)

= P(z < (9 - 11) / 5)

= P(z < -0.4)

= 0.3446

Therefore, the expected number of fishes = 300 * 0.3446 = 103.

(Note: A rounded value would yeild the number as 105.)

Related Questions

Navigate

• Browse (All)
• Browse 7
• Subjects

---

---

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