Statistics homework

Consider the percent change in housing values over a five-year period for regions of the United States, as shown In the following table. Draw a box plot. Percent change In housing values over five years for U. S. Regions. Region Percent Change Percent Change New England Region 54. 5% West 29. 5 North Central 38. 3% pacific Middle Atlantic 35. 3 48. 9 East North Central 33. 6 East South Central 26. 0 Mountain West South Central 32. 0 South Atlantic 34. 2 4. Two events are mutually exclusive, one with probability 0. 38 and the other with arability 0. 54. A. Find the probability that the first event happens given that the second event happens.O b. Find the probability of the union of these two events. 0. 38+0. 54=0. 92 5. Your store is interested in learning more about customers' purchasing patterns and how they relate to the frequency of store visits. The probability that a customer's visit will result In a purchase Is 0. 35. The probability that a customer has been to the store wealth the past month Is 0. 20. Of those who did not buy anything, 12% had been there within the past month. A. Find the probability of making a purchase given that the customer had been to the store within the past month. O. 1 b. What percent of customers are frequent shoppers, defined as making a purchase and having been to the store within the past month? O. 122 6. Keep Cool Pity Ltd manufactures window alarm-conditioners In both a deluxe model and a standard model. An auditor engaged in a compliance audit of the firm is validating the sales account for April. She has collected 200 invoices for the month, some of which were sent to wholesalers and the remainder to retailers. Of the 140 retail invoices, 28 are for the standard model. Of the wholesale invoices, 24 are for the standard model.If the auditor selects one invoice at random, find the following probabilities: a. The Invoice selected Is for the deluxe model. 0. 74 invoice selected is either a wholesale invoice or an invoice for the standard model. 0. 44 d. Is ‘invoice for deluxe model' independent of Wholesale invoice? No Model Wholesale Total Deluxe Standard 24 148 52 Otto 200 Retail 112 28 140 7. The finance director of a hardware wholesaler has asked the accountant to ring all customers five days before their account payments are due, as a means of reducing the number of late payments.