hw2solu_427 - HW 2 Solutions: All from Chapter 2 45. a. b....

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
HW 2 Solutions: All from Chapter 2 45. a. P(A) = .106 + .141 + .200 = .447, P(C) =.215 + .200 + .065 + .020 = .500 P(A C) = .200 b. P(A|C) = 400 . 500 . 200 . ) ( ) ( C P C A P . If we know that the individual came from ethnic group 3, the probability that he has type A blood is .40. P(C|A) = 447 . 447 . 200 . ) ( ) ( A P C A P . If a person has type A blood, the probability that he is from ethnic group 3 is .447 c. Define event D = {ethnic group 1 selected}. We are asked for P(D|B ) = 211 . 909 . 192 . ) ( ) ( B P B D P . P(D B )=.082 + .106 + .004 = .192, P(B ) = 1 – P(B) = 1 – [.008 + .018 + .065] = .909 48. a. P(A 2 A 1 ) = 50 . 12 . 06 . ) ( ) ( 1 2 1 A P A A P b. P(A 1 A 2 A 3 A 1 ) = 0833 . 12 . 01 . c. We want P[(exactly one) (at least one)]. P(at least one) = P(A 1 A 2 A 3 ) a. = .12 + .07 + .05 – .06 – .03 – .02 + .01 = .14 Also notice that the intersection of the two events is just the 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

hw2solu_427 - HW 2 Solutions: All from Chapter 2 45. a. b....

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online