Assume the speed of vehicles along a stretch of I-10 has a normal distribution with a mean of 71 mph and a standard deviation of 8 mph.

The current speed limit is 65 mph.

a. What proportion or probability vehicles will be travel less than or equal to the speed limit?

P(x<=65) =

Enter answer as a decimal rounded to 3 places with a 0 to the left of the decimal point.

Do not enter answer as a percent.

b. What proportion or probability vehicles would be going more than or equal to 65 mph?

P(x>=65) =

Enter answer as a decimal rounded to 3 decimal places with a 0 to the left of the decimal point.

Do not enter answer as a percent.

c. A new speed limit (X) will be initiated such that 10% of vehicles will be traveling a speed equal to or over the speed limit.

What is the new speed limit (X) based on this criterion?

P(x>=X) = .10

Enter answer rounded to 1 decimal place.