In a study of exercise, a large group of male runners walk on a treadmill for 6 minutes. After this exercise, their heart rates vary with mean 8.9per five seconds and standard deviation 1.1 per five seconds.
Let x¯be the mean number of heartbeats per five seconds after measuring heart rate for 12 five-second intervals (a minute).
(a) What is the approximate probability that x¯ is less than 8?
(b) What is the probability that the heart rate of a runner is less than 100 beats per minute? Hint : Restate this event in terms of x¯
The solution to this problem is given by
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