When Landon runs the 400 meter dash, his finishing times are normally distributed with a mean of 60 seconds and a standard deviation of 1 second . If Landon were to 38 practice trials of the 400 meter dash , how many of those trials would be faster than 58 seconds , to the nearest whole number ?

87% would be faster than 58 seconds

Step-by-step explanation:

Landon runs the 400 meter dash, his finishing times are normally distributed with a mean of 60 seconds and a standard deviation of 1 second

Standard deviation =

We are supposed to find Landon were to 38 practice trials of the 400 meter dash , how many of those trials would be faster than 58 seconds , to the nearest whole number i.eP(x<58)

Refer the z table for p value

P(x<58)=0.0228

Landon were to 38 practice trials

So, P(x<58)=

So, 86.64%  would be faster than 58 seconds

Hence 87% would be faster than 58 seconds

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