Question

please 6 and 7

6. (3.18, 20) A continuous random variable X that can assume values between r = 2 and x = 5 has a density function given by f(x) = 2(1+x)/27. Find the Cumulative Distribution Function F(x). 7. (3.14) The waiting time, in hours, between successive speeders spotted by a radar unit is a continuous random variable with a cumulative distribution function x<0, F(x) = -e-41, x20 Find the probability of waiting between 3 to 7 minutes a) using the cumulative distribution function of X; b) using the probability density function of X.

Answer 1

Class-Mind Date: Page No.: A4 x is a cont Row and 2 CXLS #191 2 (14) 27 to find FIR) have 2 by definention F42) = Ś ?ltide In this care lower limetis 2 So F(x)= t2 X 5 F1R) 27 7 a 27 2 . des (2+ -x?_ų 27 so x 2 2 F(X)= 2 27 (4 + 2 y} ہے a> In this call fa) 42 ard alla P(xcxl Flal to fired -Now we have PL 3 CX (1) O CS Scanned with

Date: Page g using Pistt. Ply12 Pex 13) E 136X (7 Iliom dith 4 E14 F17) - FC) 477 $ 130X13) "1-11-07 8 13 (x 0 ) = (0-12 P[24X73) 6:1047 10 pocs (1) probability dersly th di 1-p-47 = 4e 4 x So its 0 It Posrezje 11 s'duh = tested RELY (7 74 -826 Prenez 12 gaixong NG lanner