Fill in the blanks by standardizing the normally distributed variable.
-Dave drives to work each morning at about the same time. His commute time is normally distributed with a mean of 51 minutes and a standard deviation of 5 minutes. The percentage of Time that his commute time exceeds 58 minutes is equal to the area under the standard normal Curve that lies to the ___ of ___.
A)right, 1.4
B)left, 1
C)left, 1.4
D)right, 7

Question

Fill in the blanks by standardizing the normally distributed variable.
-Dave drives to work each morning at about the same time. His commute time is normally distributed with a mean of 51 minutes and a standard deviation of 5 minutes. The percentage of Time that his commute time exceeds 58 minutes is equal to the area under the standard normal Curve that lies to the ___ of ___. 
A)right, 1.4
B)left, 1
C)left, 1.4
D)right, 7

Quizplus · Accepted Answer

To find the percentage of time Dave's commute exceeds 58 minutes, we standardize the value using the formula $Z = \frac{X - \mu}{\sigma}$, where $X = 58$, $\mu = 51$, and $\sigma = 5$. This gives us $Z = \frac{58 - 51}{5} = 1.4$. The area under the curve to the right of $Z = 1.4$ represents the percentage of time his commute exceeds 58 minutes.

Fill in the Blanks by Standardizing the Normally Distributed Variable