Amarket research firms conducts studies regarding the success of new products. the company is not always perfect in predicting the success. suppose that there is a 50% chance that any new product would be successful (and a 50% chance that it would fail). in the past, for all new products that ultimately were successful, 80% were predicted to be successful (and the other 20% were inaccurately predicted to be failures). also, for all new products that were ultimately failures, 70% were predicted to be failures (and the other 30% were inaccurately predicted to be successes). for any randomly selected new product, what is the probability that the market research firm would predict that it would be a success?