According to the National Highway Traffic Safety Administration, the average age of a driver involved in...
According to the National Highway Traffic Safety Administration,
the average age of a driver involved in a fatal crash is 39.4
years, with a standard deviation of 17.4 years. Suppose a random
sample of 50 drivers involved in a fatal crash is selected.
[Source:
https://crashstats.nhtsa.dot.gov/Api/Public/ViewPublication/810853]
What is the probability that the average age of drivers involved in
fatal crash in the sample exceeds 41?
Question 24 options:
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Homework Answers
Solution :
Given that ,
=
/ 
n = 17.4 /
50 = 2.4607
P(
> 41) = 1 - P(
< 41)
= 1 - P[(
- 
) /
< (41 - 39.4) / 2.4607]
= 1 - P(z < 0.65)
= 1 - 0.7422
= 0.2578
Probability = 0.2578
option D. is correct
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