question archive The probability Miss
Subject:StatisticsPrice:3.87 Bought8
Answer:
Let the events be as follows:
A cat runs into a room = R
Miss Cat sees her toy = M
P(R|M') = 0.73
P(R|M) = 0.83
P(M') = 0.68
P(M|R') = P(R|M)*P(M)/[P(R|M)*P(M)+P(R|M')*P(M')]
= 0.83*0.32/[0.83*0.32+0.73*0.68]
= 0.2656/[0.2656+0.4964]
= 0.349