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 November 10th, 2017, 01:27 PM #1 Newbie   Joined: Nov 2017 From: Birmingham, Alabama Posts: 2 Thanks: 0 Continuous Uniform Distribution I need help figuring out whether I did the following problem correctly. You were informed at the nursery that your peach tree will definitely bloom sometime between March 18 and March 30. Assume that the bloom times follow a Continuous Uniform Distribution between these dates. A. What is the probability that the tree does not bloom until March 25? I translated that as P(X>25) = (30-25)*1/30 - 18 and I got 0.417 as my answer. B. What is the probability that the tree will bloom by March 20? I translated that as P(X<20) = (20-18)*1/30 - 18 and I got 0.167 as my answer. Last edited by skipjack; November 10th, 2017 at 07:15 PM. November 11th, 2017, 12:36 PM #2 Senior Member   Joined: Sep 2015 From: USA Posts: 2,370 Thanks: 1274 $f_B(t) = \dfrac{1}{30-18} = \dfrac{1}{12},~t \in [18,30]$ $F_B(t) = \dfrac{t-18}{12},~t \in [18,30]$ $P[t\geq 25]=1-F_B(25)=1-\dfrac{25-18}{12} = 1-\dfrac{7}{12}=\dfrac{5}{12}\approx 0.4167$ $P[t\leq 20] = F_B(20)=\dfrac{20-18}{12} = \dfrac{1}{6}\approx 0.1667$ so it looks like you got it right, even if you did it in a bit of an unusual way. Tags continuous, distribution, distrobution, uniform Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post fromage Real Analysis 0 May 13th, 2017 11:07 PM najaa Probability and Statistics 1 February 23rd, 2013 09:39 AM Jeh Real Analysis 1 August 3rd, 2012 04:27 PM watson Real Analysis 1 January 2nd, 2012 12:35 PM babyRudin Real Analysis 6 October 24th, 2008 12:58 AM

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