
Advanced Statistics Advanced Probability and Statistics Math Forum 
 LinkBack  Thread Tools  Display Modes 
November 10th, 2017, 02:27 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) = (3025)*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) = (2018)*1/30  18 and I got 0.167 as my answer. Last edited by skipjack; November 10th, 2017 at 08:15 PM. 
November 11th, 2017, 01:36 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 1,696 Thanks: 861 
$f_B(t) = \dfrac{1}{3018} = \dfrac{1}{12},~t \in [18,30]$ $F_B(t) = \dfrac{t18}{12},~t \in [18,30]$ $P[t\geq 25]=1F_B(25)=1\dfrac{2518}{12} = 1\dfrac{7}{12}=\dfrac{5}{12}\approx 0.4167$ $P[t\leq 20] = F_B(20)=\dfrac{2018}{12} = \dfrac{1}{6}\approx 0.1667$ 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  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Total variation of a continuous function (of bv) is continuous  fromage  Real Analysis  0  May 14th, 2017 12:07 AM 
statistics uniform continuous distribution  najaa  Probability and Statistics  1  February 23rd, 2013 10:39 AM 
Show that a continuous derivative is a uniform limit  Jeh  Real Analysis  1  August 3rd, 2012 05:27 PM 
uniform convergence of continuous functions.  watson  Real Analysis  1  January 2nd, 2012 01:35 PM 
continuous at any point iff continuous at origin  babyRudin  Real Analysis  6  October 24th, 2008 01:58 AM 