An airline offers "advance-purchase" fares to customers who buy their tickets at least four weeks before the flight. The airline has noticed that 80% of its customers who buy tickets don't take advantage of advance-purchase fares and the remaining 20% do. The no-show rate for those who don't have advance-purchase fares is 25%, while for those who do have them, it is only 15%. (a) Calculate the probabilities labeled on the tree diagram below. (Give answers correct to three decimal places.) A tree diagram with 6 branches is shown. The tree diagram begins at a point and an upper and lower branch extend from this point to the right. From each of these two branches two more upper and lower branches extend to the right. The branches extending from the first point from top to bottom are labeled a and b and end at points labeled "no advance purchase" and "advance purchase" respectively. The branches extending from "no advance purchase" and "advance purchase" from top to bottom are labeled c, d, e, h and end at points labeled "no show", "show up", "no show", and "show up" respectively. A column to the right of the tree diagram labeled "Final probability" shows a value next to each of the four branches extending from "no advance purchase" and "advance purchase". From top to bottom, they are p, n, k and u.   (b) Create a "hypothetical hundred thousand" table for this situation. Method Shows No Shows Total Buy Advance Tickets       Doesn't Buy Advance Tickets       Total       (c) Using the tree diagram from part (a) or the table from part (b), find the percent of customers who are no-shows. %

A company gives each worker a cash bonus every Friday, randomly giving a worker an amount with these probabilities: $10 0.9, $50 0.1. Over many weeks, what is a worker 's expected weekly bonus?

Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning. Find the following probabilities. (Round your answers to three decimal places.)   (a) All of them dislike their mother-in-law. (b) None of them dislike their mother-in-law. (c) At least four of them dislike their mother-in-law. (d) No more than three of them dislike their mother-in-law.

consultant has been hired to redesign a company's production facility. The consultant estimates the probabilities of her potential profit as shown in the table below. What is her profit expectation?$   Profit/Loss Probability $40,000 0.05 $30,000 0.30 $20,000 0.38 $10,000 0.20  $5,000 0.07