Recall that the Normal Distribution Formula is given by the z-score:
[tex]z=\frac{X-\mu}{\sigma}[/tex]Where μ is the mean and σ is the standard deviation.
Substitute μ=60.0, σ=4.0, and X=53.0 into the formula:
[tex]z=\frac{53.0-60.0}{4.0}=-\frac{7}{4}[/tex]It then follows that:
[tex]P(X<53)=P(z<-\frac{7}{4})[/tex]Next, check this in the normal distribution table, to get:
[tex]P(X<53)=P(z<-\frac{7}{4})=0.0401[/tex]The answer is 0.0401.
