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Nadya
3 months ago
5

The finishing times of a 5K race run by competitive male runners age 15-18 are approximately normal distribution with a mean tim

e of 18 minutes and a standard deviation of 2 minutes. A particularly tough 5K race tends to take these same runners 4.5 additional minutes. To earn a completion medal in this particular 5K race, the runner must complete the race within 25 minutes.
Advanced Placement (AP)
2 answers:
vovikov84 [265]3 months ago
8 0

Answer:

10.56%

Explanation:

Finishing times for the difficult 5K race among competitive male runners aged 15-18 follow an approximate normal distribution, with an average time of 22.5 minutes (18 minutes plus an additional 4.5 minutes) and a standard deviation of 2 minutes. (This added time does not alter the standard deviation.) Utilizing computational tools: normalcdf(lower: 25, upper: 10000, mean: 22.5, SD: 2) produces a result of 0.1056, indicating that around 10.56% of competitive males aged 15-18 generally fail to secure a completion medal for this race. Alternatively, using z-scores and Table A: z = (25 – 22.5)/2 = 1.25. The area below z = 1.25 equals 0.8944, leading to an area above z = 1.25 of 1 – 0.8944 = 0.1056 or 10.56%.

pickupchik [329]3 months ago
5 0

Answer:10.56%

Explanation:

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