chapter 1

CHAPTER 4Section 4.11.1∫ −∞110 211 2a. P(x ≤ 1) = f ( x)dx = ∫ xdx =4x ] = . 250∫1.5b. P(.5 ≤ X ≤ 1.5) = ] 1 1 2xdx = x = . 5∫ ∞1.5.522227c. P(x > 1.5) = f ( x)dx = ∫] 1 xdx =1 x = ≈ . 4382 4 1.5 161.541.5.52. F(x) = 101for –5 ≤ x ≤ 5, and = 0 otherwisea. P(X < 0) = . 50∫ −dx5 10 1=2.5∫ −dx1b. P(-2.5 < X < 2.5) = = . 52.5101c. P(-2 ≤ X ≤ 3) = = . 53∫ −dx2 10∫k+4k+4d. P( k < X < k + 4) = 1 x 1dx = ] = k + 4) − k]= . 4k1010k10 [(3.a. Graph of f(x) = .09375(4 – x 2 )0.5f(x1)0.0-0.5-3-2-10x1123129