# CNBC recently reported that the mean annual cost of auto insurance is $998. Assume the standard deviation is$298.

CNBC recently reported that the mean annual cost of auto insurance is $998. Assume the standard deviation is$298.
Find the probability that a single randomly selected value is less than $985. $P\left(X<985\right)=$? Write your answers as numbers accurate to 4 decimal places. You can still ask an expert for help Expert Community at Your Service • Live experts 24/7 • Questions are typically answered in as fast as 30 minutes • Personalized clear answers Solve your problem for the price of one coffee • Available 24/7 • Math expert for every subject • Pay only if we can solve it ## Expert Answer Derrick Answered 2020-12-30 Author has 94 answers Given that $\mu =998$ $\sigma =298$. The probability that a single randomly selected value is less than$985 is,
$P\left(X<985\right)=P\left(\frac{X-\mu }{\sigma }<\frac{985-\mu }{\sigma }\right)$
$=P\left(z<\frac{985-998}{298}\right)$