Canister vacuums are often rated according to their ease of use, noise level, emissions, cleaning ability, and length of the power cord

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.

-[2 marks] Carefully sketch a graph of the probability density function for the random variable X.
-[2 marks] What is the probability that the power cord is shorter than 22 ft?
-[3 marks] What is the probability that the power cord is longer that 21ft and shorter than 28 ft?
-[3 marks] Find a value f such that 75% of all power cords are longer than f ft.