Discrete Probability Distribution A producer of a certain type of electronic component ships to suppliers in lots of twenty. Suppose that 60% of all such lots contain no defective components, 30% contain one defective component, and 10% contain two defective components. A lot is picked, two components from the lot are randomly selected and tested, and neither is defective. (a) What is the probability that zero defective components exist in the lot? (b) What is the probability that one defective exists in the lot? (c) What is the probability that two defectives exist in the lot?

15 Assume that the fleet consists of 30 percent Lexus, 50 percent Infinity, and 20 percent Mercedes automobiles. 75 percent of the Lexus cars, 45 percent of the Infinities, and 40 percent of the Mercedes have CD players. Use this information to answer the following questions. (1) What is the probability that a randomly selected car has a CD player? (2) What is the probability that a randomly selected car either is a Mercedes or has a CD player?

Your assembly plant buys identical widgets from 3 suppliers, A, B, and C.  Suppliers A and B each supplies a quarter of your widgets each day, whereas Supplier C supplies the remaining 50%.  Of the widgets supplied by A, B, and C, the average numbers of defective widgets are 5%, 3%, and 7%, respectively.(a)    If a widget is selected at random, what is the probability of it being defective? Let A, B, C be the event of a randomly picked widget being sourced by suppliers A, B, and C, respectively.  Furthermore, let D be the event of a randomly-picked widget being defective.  Use these symbols A, B, C, and D when you do this problem.(b)    What is the probability of a randomly-picked widget being supplied by A and also being defective?(c)    If a randomly-picked widget is defective, what’s the probability of it having been supplied by A?(d)    If a randomly-picked widget is defective, what’s the probability of it having been supplied by B?  By C?  What's the sum of the 3 probabilities…

A company sends its products from 3 warehouses, namely from warehouse A=30%, warehouseB=20% and from warehouse C=50%. Based on complaints from customers, it is known thatthe percentage of defective products sent from each warehouse is as follows: A=3% , B= 5% and from warehouse C= 2%.a. Suppose a customer after ordering the product, the next dayComplained that the item was defective. What is the probability that the product receivedthe customer is from warehouse C? b. If another customer who also orders the product and getsthe goods are in good condition, what is the probability that the product received by the customerdoes it come from warehouse A?