Solve the problem.
-A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a
Standard deviation of 50 seconds. Find the probability that a randomly selected boy in secondary school can run
The mile in less than 345 seconds.
A) 0.9893
B) 0.4893
C) 0.0107
D) 0.5107

Question

Quizplus · Accepted Answer

To find the probability that a randomly selected boy can run the mile in less than 345 seconds, we use the Z-score formula: Z = (X - μ) / σ, where X is the value (345 seconds), μ is the mean (460 seconds), and σ is the standard deviation (50 seconds). Calculating the Z-score gives Z = (345 - 460) / 50 = -115 / 50 = -2.3. Looking up the Z-score of -2.3 in the standard normal distribution table gives a probability of approximately 0.0107.

Solve the Problem. -A Physical Fitness Association Is Including the Mile Run in Mile