Question Help * An airliner carries 200 passengers and has doors with a height o

Question

Question Help * An airliner carries 200 passengers and has doors with a height of 72 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. The probability is Round to four decimal places as needed.) b. 1 half of the 200 passengers are men, find the probabily that the mean height ol the 100 men is less than 72 n The probability is Round to four decimal places as needed) c. When considering the comfort and safety of passengers, which result is more relevant: the probebility from part (a) or the probability from part (b)? Why? O A. The probability from part (a) is more relevant becauss it shows the proportion of flights where the mean height of the male passengers will be less than the dcor height O B. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend ( c. The probablity from part b is more relevant because it shows the proportion of male passengers that w not need to bend OD. The probably from part b is more relevant because it shows the proportion of flights where the mean heighto nema e passengers wil bees than hedo e ght. d. When considering the comfort and safety of passengers, why ara women ignored in this case? O A. Since men are generally taller than women, it is more difficult for them to bend when entering the aircraft. Therefore, it is more important that men not have to bend than it is important that women not have to bend. 0 B. There is no adequate reason to ignore women. A separate statistical analysis should be camed out for the case of women. O C. Since men are generally taller than women, a design that accommodates a suilable proportion of men will necessarily accommcdate a greater proportn of women.

Explanation / Answer

a) P(X < 72)

= P(z < (72 - 69)/2.8)

= P(z < 1.07)

= 0.8580

b) P(X < 72)

= P(z < (72 - 69)/(2.8/10))

= P(z < 10.71)

= 1

c) Option D is correct.

d) Option C is correct.

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

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