To qualify as a contestant in a race, a runner has to be in the fastest 16% of all applicants. The running times are normally distributed, with a mean of 63 min and a standard deviation of 4 min. To the nearest minute, what is the qualifying time for the race?

Question

To qualify as a contestant in a​ race, a runner has to be in the fastest​ 16% of all applicants. The running times are normally​ distributed, with a mean of 63 min and a standard deviation of 4 min. To the nearest​ minute, what is the qualifying time for the​ race?
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Part 1
The qualifying time for the race is 
  
enter your response here min.

GPT 3.5 · Answer

The qualifying time for the race is 67 minutes.

To qualify as a contestant in a​ race, a runner has to be in the fastest​ 16% of all applicants. The running times are normally​ distributed, with a mean of 63 min and a standard deviation of 4 min. To the nearest​ minute, what is the qualifying time for the​ race?

To qualify as a contestant in a race, a runner has to be in the fastest 16% of all applicants. The running times are normally distributed, with a mean of 63 min and a standard deviation of 4 min. To the nearest minute, what is the qualifying time for the race?