A machine manufactures metal screws in a given lot size, Among the lots there is variation in the percentage of defective metal screws, with the distribution below: Fraction Defective P .01 .02 .03 .06 .10 .20 Prior Probability Function p(P) 25 .35 .20 .15 .04 .01 1.00 A random sample of 10 screws is chosen from the lots and after testing, it is found that one of the screws is defective. Use the prior distribution and the sample evidence to find the posterior probability function of fraction defective.