Question

I'm taking inventory of the books in my office. Some of them are hardcover books, some are about algebra, and some are both Specifically, 40% of the books are hardcover, 30% are hardcover algebra books, and 80% are hardcover or about algebra. Use this to answer questions 16, 17, and 18. It may help to draw a diagram. HAR What percent of the books are about algebra, but not hardcover? Ma 20% 30% c. 40% 50% e. 60% 17. What percent of the books are neither hardcover nor about algebra? a. 0% 10% c. 20% d. 30% e. 40% 18. A book just fell off the shelf, and I can tell from the loud thump that it was a hardcover book. What is the conditional probability it is an algebra book? a. 75% b. 65% c. 55% d. 45% e. 35% 3-.SE 19. Homer and Marge are taking turns picking up their kids from school, but sometimes they are late. Last week, Homer was on-time 1 out of 1 pick-up, and this week, Homer was on-time 3 out of 4 pick-ups. Last week, Marge was on- time 1 out of 4 pick-ups, and this week, Marge was on-time 0 out of 1 pick-up. Is this an instance of Simpson's Paradox, and why or why not? Here is a table you can fill in to help you make this decision:

Answer 1

Given pl Hard Cover) - 4oy. PC Harel cover n Algebra) = 304. PC Harel cover v Algeba) = 8oy. PCAQUB) = P(AD+R(A) & P(ANB) P(Hardcover U Algebra) = PI Havekover) + P(Algehe) – Pfhard Nalgbre 8o4. = 404. + Pl Algebre) – 304. P(Algema)= 704 P(Algebra but Not Hard Coveof PC A UN') = P(A1-PCAAR) P(Algebou but Not Hardt cover) = P(Algebra) - P (Algebra n hard reach - Fot. - 304 option E = hoy. Total Percentage of book= 2004. PCHUB) = 1- P(AUB) P( Neightee Hard cover Nor Algabon) - 1-804 - 20%

option C PC Algebra / Hauad corea) = P (Algebra 1 Handcover ) ... Contoh P. (Hard Covers P(A/B) = P. (A.AB) conclitional Probability ) - PB P( Algebra | Hardcover) = 30 ti = 0.75 or 5 so it is algebra book Conditional Probability that is = 75 y. حتشمی ة