The Uniform Distribution · Exercise 31
For each probability and percentile problem, draw the picture.
According to a study by Dr. John McDougall of his live-in weight loss program at St. Helena Hospital, the people who follow his program lose between six and 15 pounds a month until they approach trim body weight. Let’s suppose that the weight loss is uniformly distributed. We are interested in the weight loss of a randomly selected individual following the program for one month.
(a) Define the random variable. X = _________
(b) Graph the probability distribution.
(c) f(x) = _________
(d) μ = _________
(e) σ = _________
(f) Find the probability that the individual lost more than ten pounds in a month.
(g) Suppose it is known that the individual lost more than ten pounds in a month. Find the probability that he lost less than 12 pounds in the month.
(h) P(7 < x < 13 x > 9) = __________. State this in a probability question, similarly to parts g and h, draw the picture, and find the probability.
Its source prints no answer for this problem, so there's nothing to check against.
OpenStax, Introductory Business Statistics 2e · §5.2 The Uniform Distribution · Exercise 31
No hints for this one.
Check your full solution
Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.
Your first check today doesn't need an account.
Your photos and PDFs are read once and not stored — only the transcription is kept.