Recent content by billbennett770

So it it just (8/9) - (1/3)

Not as well I thought I did, or at least not how it pertains to continuous proability density. First, I am really perplexed why I am given 2 ≤ x ≤ 8 --or is this just another way of saying [2, 8]? Also, how do you evaluate P(6 <x ≤8)? I have only done int he past when the question employs both ≤...

Homework Statement It has been suggested that reaction time to brake a signal from standard brake ligths can be modeled with a normal distribution having a mean of 1.25 seconds and a standard deviation of .46 seconds. What is the probability that the reaction time is between 1. and 1.75. Use...

okay then. From P(6<x≤8) ∫ f(x) dx = ((x²/2) -2x)/18 at x = 6 : ((6²/2) -2*6)/18= (18 -12)/18 = 1/3 at x = 8 : ((8²/2 -2*8)) = ((32 -16))/18 = 16/18 = 8/9 : 1/3 < P(6<x≤8) ≤ 8/9

Homework Statement Given the continuous probability density function f(x) = (x-2)/18 2 ≤ x ≤ 8, find P(6<x≤8)? Homework Equations For a continuous random variable, if you have a pdf f(x) on the interval a to b, P(c≤x≤d)=∫dcf(x)dx E(X)=μ=∫baxf(x)dx Var(X)=∫ba(x−μ)2f(x)dx For this...