A stock market analyst examined the prospects of the shares of a large number of corporations. When the performance of these stocks was investigated one year later, it turned out that 25% performed much better than the market average, 25%, much worse, and the remaining 50%, about the same as the average. Forty percent of the stocks that turned out to do much better than the market were rated good buys by the analyst, as were 20% of those that did about as well as the market and 10% of those that did much worse. What is the probability that a stock rated a good buy by the analyst performed much better than the average?

Solution:Bayes:E1: Stock performs much better than the market averageE2: Stock performs same as the market averageE3: Stock performs worse than the market averageA: Stock is rated a ‘Good Buy’Given thatP(E1) = .25,P(E2) = .5,P(E3) = .25,P(A| E1) = .4,P(A| E2) = .2,P(A| E3) = .1Then,

P A EP EP EAP A EP EP A EP EP A EP E=++=(.40)(.25).444(.4)(.25)(.2)(.5)(.1)(.25)

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

a

step-by-step explanation: