SOLUTION: 47. Broadway In the survey described in Exercise 46, the demographics of the Broadway performers were recorded as shown on the following page.† Assume that all of these demographic

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Question 245945: 47. Broadway In the survey described in Exercise 46, the demographics of the Broadway performers were recorded as shown on the following page.† Assume that all of these demographics follow a normal distribution, an assumption that always must be verified prior to using it in real situations.
a. Find the probability that a female dancer is 35 years old or older.
b. Find the probability that a male dancer is 35 years old or older.
c. Compare your answers to parts a and b.

d. Find the probability that a female performer is 1.4 m tall or taller.
e. Find the probability that a female performer has a career duration that is more than 1.5 standard deviations from the mean.
f. Would a female who has more than 6 injuries during her career be considered a rare event? Explain.
Mean Standard Deviation
Dancer’s Age (female) 28 ---- 5.5
Dancer’s Age (male) 32.2 ---- 8.4
Height (in m) (female) 1.64 ---- 0.08
Duration as Professional in yr (female) 11 ---- 8.9
Total No. of Injuries as Performer (female) 3 ---- 2.2

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Broadway In the survey described in Exercise 46,
----
The problems cannot be worked without the data
from exercise 46.
Cheers,
Stan H.

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