Question

If miles per gallon of Honda Accords is uniformly distributed between 28 and 32 MPG, what is the 75th percentile for Honda MPG?

Answer 1

Let X be the random variable denoting the distribution of

miles per gallon of Honda Accords.

X ~ Unif(28, 32).

Thus the PDF of X is,

f(x) = 1/4, 28 < x < 32

= 0, o.w.

Let the 75-th percentile for Honda MPG be p.

Thus, = 0.75 i.e. = 0.75 i.e. p = 31.

Hence, the 75-th percentile of Honda MPG is 31. (Ans).