bricakes3
15.04.2020 •
Mathematics
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 440 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 325 seconds.
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Ответ:
0.0107 is the probability that a randomly selected boy in secondary school can run the mile in less than 325 seconds.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 440 seconds
Standard Deviation, σ = 50 seconds
We are given that the distribution of time is a bell shaped distribution that is a normal distribution.
Formula:
P(run the mile in less than 325 seconds)
P(x < 325)
Calculation the value from standard normal z table, we have,
0.0107 is the probability that a randomly selected boy in secondary school can run the mile in less than 325 seconds.
Ответ: