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.