A survey found that women\'s heights are normally distributed with mean 63.2 in.

Question

A survey found that women's heights are normally distributed with mean 63.2 in. and standard deviation 2.4 in. The survey also found that men's heights are normally distributed with a mean 68.4 in. and standard deviation 2.7. Complete parts a through c below a. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 9 in. and a maximum of 6 ft 3 in. Find the percentage of women meeting the height requirement. The percentage of women who meet the height requirement is 99.51%. Round to two decimal places as needed.) b. Find the percentage of men meeting the height requirement. The percentage of men who meet the height requirement is [1% Round to two decimal places as needed.)

Explanation / Answer

B) P(57 < X < 75) = P((57 - 68.4)/2.7 < (X - mean)/SD < (75 - 68.4)/2.7)

= (-4.22 < Z < 2.44)

= P(Z < 2.44) - P(Z < -4.22)

= 0.9927 - 0

= 0.9927 = 99.27%

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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