In: Statistics and Probability
The speed of cars passing through the intersection of Blossom Hill Road and the Almaden Expressway varies from 12 to 35 mph and is uniformly distributed. None of the cars travel over 35 mph through the intersection.
a. Enter an exact number as an integer, fraction, or
decimal.
μ =
b. σ = (rounded to two decimal places)
c. What is the probability that the speed of a car is at most 26 mph?
d. What is the probability that the speed of a car is between 16 and 23 mph?
e. Find the 80th percentile. This means that 80% of the time, the speed is less than mph while passing through the intersection.
f. Find the probability that the speed is more than 29 mph given (or knowing that) it is at least 16 mph.