Marketing and Consumer Behavior Canister vacuums are often rated according to their ease of use, noise level, emissions, cleaning ability, and length of the power cord. The length (in feet) of the electric cord on a canister vacuum is a random variable, X, with a uniform distribution on the interval [20, 30]. Suppose a canister vacuum is selected at random.
a. Carefully sketch a graph of the probability density curve for the random variable X.
b. What is the probability that the power cord has a length less than 22 feet?
c. What is the probability that the power cord has a length greater than 26 feet?
d. Find a value f such that 75% of all power cords have lengths greater than f feet.