# 1. Marginal probability of no rain: 0.05+0.1+0.1+0.05=0

Added on - Sep 2019

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1. Marginal probability of no rain: 0.05+0.1+0.1+0.05=0.32. Marginal probability of heavy rain: 0.1+0.2+0.05+0.01=0.363. Conditional probability that there is Heavy Rain given there is Some Wind (Pr(Rain =HeavyRain | Wind = Some Wind)) = 0.24.let P(x) be probability of hiring x number of womenthen probability of hiring 3 or fewer women = P(0)+P(1)+P(2)+P(3)now P(0) = (0.6)12=0.00217P(1) = (0.4)(0.6)11= 0.00145P(2) = (0.4)2(0.6)10= 0.00096P(3) = (0.4)3(0.6)9= 0.00064therefore P(x<=3) = P(0)+P(1)+P(2)+P(3) = 0.005245.The results of a contingency tableX2statistical test performeddata: contingency tableA B C D1 30 12 33 29 1042 19 18 15 32 843 12 26 8 19 6561 56 56 80 253expected: contingency table