Respuesta :
Answer:
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:
[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]
P(run the mile in less than 325 seconds)
P(x < 325)
[tex]P( x < 325) = P( z < \displaystyle\frac{325 - 440}{50}) = P(z < -2.3)[/tex]
Calculation the value from standard normal z table, we have,
[tex]P(x < 325) = 0.0107 = 1.07\%[/tex]
0.0107 is the probability that a randomly selected boy in secondary school can run the mile in less than 325 seconds.
