The pH level, a measure of acidity, is important in the study of acid rain. For certain Florida lake, baseline measurement of acidity are made so that any changes caused by acid rain can be noted. The...

Problem
The pH level, a measure of acidity, is important in studies of acid rain. For a certain lake, baseline
measurements of acidity are made so that any changes caused by acid rain can be noted. The pH for water
samples from the lake is a random variable X, with probability density function
f(x) = 38(7− x)
2, 5 ≤ x ≤ 7
= 0, elsewhere
(a) Sketch the pdf
(b) Find the probability that the pH for a sample of...