Q#22: Data below show the 141 senators from US congress classified by the party
ID: 3041533 • Letter: Q
Question
Q#22: Data below show the 141 senators from US congress classified by the party and gender Q#23: If there are 7 white balls and 8 red balls if two balls are select at random without replacement. Find the probability that both are red balls. Sol: Republican Democrat Independent Total Male 46 34 12 Female 15 28 Q#24: If three cards are drawn from a deck of cards without replacement, find the probabili that at least one of the cards is a club? Sol Total (a) If a senator is selected at random find the probability that the senator is independent or male. Sol: Q#25: In the Happy Hilltop Health Home, 40% of the residents play shuffleboard, 60% of the residents play poker, and 75% of the residents garden. If 12% of the residents play poker and garden and 20% of the residents play both shuffleboard and poker, then find the probability that a resident garden given that he/she plays poker (b) If a senator is selected at random find the probability that the senator is democrat and female. Sol: If a senator is selected at random find the probability that the senator is republican given that he is a male. Sol (c)Explanation / Answer
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Q22. Write back in case of doubts:
a. P( senetor is indep or male)
= P( senetor is indep + male - both)
= (12+6+46+34+12-12)/(46+34+12+15+28+6)
= 0.695
b. P(senetor is demo and female) = 28/(46+34+12+15+28+6) = .199
c. P( senetor is repub given that he' male)
=total male repub / total males
= (46)/(46+34+12)
=.50
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