Concept explainers
Broadway In the survey described in Exercise 58, the demographics of the Broadway performers were recorded as shown in the next column. Assume that all of these demographics follow a
(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).
Mean | Standard Deviation | |
Dancer's Age (female) | 28.0 | 5.5 |
Dancer's Age (male) | 32.2 | 8.4 |
Height (in m) (female) | 1.64 | 0.08 |
Duration as Professional in yr (female) | 11.0 | 8.9 |
Total No. of Injuries as Performer (female) | 3.0 | 2.2 |
(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.
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