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Answer :
M is a random variable that is normally distributed with a mean of 3.05 and a standard deviation of 1.72, then the probability P(x ≤ 8.5) is 0.99923.
A random variable that is normally distributed with a mean = 3.05
A random variable that is normally distributed with a standard deviation (SD) = 1.72
Now determining the probability
P(x ≤ 8.5) = P[(M - Mean)/SD ≤ (8.5 - 3.05)/1.72
P(x ≤ 8.5) = P(Z ≤ 5.45/1.72)
P(x ≤ 8.5) = P(Z ≤ 3.17)
From the Z-table
P(x ≤ 8.5) = 0.99923
complete question:
m is a random variable that is normally distributed with a mean of 3.05 and a standard deviation of 1.72.
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