3. (c-f). The Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier. The resulting profit is dependent upon the demand for the product. State of Nature Low Demand Medium Demand High Demand Decision Alternative Manufacture, di Purchase, da -20 10 40 45 100 70 The relevant condifional probabilities are as follows: P(F|51) = 0.10 P(F 52) = 040 P(F|53) = 0.00 P(U|53) = 0,40 P(U|s1) = 090 P(U 52) = 0.60 c. A test market study of the potential demand for the product is expected to report either a tavorable (F) or untavorable (U) condition. I. Compute the Posterlor Probablities by completing the table

An equipment proposal from two vendors A and B have been received from a local company. The quality of these equipment have been varying and consequently the cost of manufacturing the product using these two different equipment has also varied. The varying costs based on the probabilities of defects are given in table below.Determine the better vendor.

A local university has a student population that is 57% male. 64% of the students are undergraduates; 40% are both male and undergraduates. What is the probability that a randomly selected student is either male or an undergraduate?

Industry standards suggest that 12 percent of new vehicles require warranty service within the first year. University Toyota in Morgantown, WV sold 10 Toyotas yesterday. What is the probability that exactly one of these vehicles will require warranty service?

There is a normal distribution with mean 10 and standard deviation of 8.  What is the probability of selecting a value less than 15? Round every step to 2 decimal points.