Answer:
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
[tex]\mu = 60[/tex]
Standard deviation =[tex]\sigma = 1[/tex]
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)
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{58-60}{1}\\Z=-2[/tex]
Refer the z table for p value
P(x<58)=0.0228
Landon were to 38 practice trials
So, P(x<58)=[tex]38 \times 0.0228=0.8664[/tex]
So, 86.64% would be faster than 58 seconds
Hence 87% would be faster than 58 seconds
