The management of the large department store in Example B.1 must determine whether more training is neededfor the customer service clerk. The clerk at the customer service desk can serve an average of three customersper hour. What is the probability that a customer will require 10 minutes or less of service?

The American Automobile Association (AAA) reported that families planning to travelover the Labor Day weekend would spend an average of $749 (The Associated Press,August 12, 2012). Assume that the amount spent is normally distributed with a standarddeviation of $225.a. W hat is the probability of family expenses for the weekend being less that $400?b. W hat is the probability of family expenses for the weekend being $800 or more?c. W hat is the probability that family expenses for the weekend will be between $500and $1000?d. W hat would the Labor Day weekend expenses have to be for the 5% of the familieswith the most expensive travel plans?

According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers will score a touchdown on their opening drive is 0.26.  The probability that their defense will have 3 or more sacks in the game is 0.17.  The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.05.  What is the probability that they will either score a touchdown on the opening drive or have 3 or more sacks in the game? Answer in decimal form.  Round to two decimal places as needed.

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Justin sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 237 visitors purchased no costume. 17 visitors purchased exactly one costume. 24 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase no more than one costume as a fraction in simplest form.

Trevor is interested in purchasing the local hardware/sporting goods store. After examining accounting records for the past several years, he found that the store has been grossing over $850 per day about 60% of the business days it is open. Estimate the probability that the store will gross over $850 (a) at least 3 out of 5 business days (b) at least 6 out of 10 business days (c) fewer than 5 out of 10 business days (d) fewer than 6 out of the next 20 business days. Interpretation: if this actually happened, might it shake your confidence that p is less than 0.60? Explain. (e) more than 17 out of the next 20 business days. Interpretation: if this actually happened, might you suspect that p is greater than 0.60? Explain

An insurance company found that 2.4% of male drivers between the ages of 18 and 25 are involved in serious accidents annually. To simplify the analysis, assume that every such accident costs the insurance company $62,000 and that a driver can only have one of these accidents in a year. Complete parts (a) through (c). (a) If the company charges $2,600 for such coverage, what is the chance that it loses money on a single policy? P(loses money)= .024 (Type an integer or a decimal.) (b) Suppose that the company writes 1,000 such policies to a collection of drivers. What is the probability that the company makes a profit on these policies? Assume that the drivers don't run into each other and behave independently. P(profit) = .976 (Round to five decimal places as needed.)

An actuary studied the likelihood that different types of drivers have at least one collision during any one- year period. The results of the study appear below. Type Percentage teen young adult middle aged adult senior 7 17 59 17 Collision % 16 LO 5 4 5 Find the probability that a driver with at least one collision in the past year is a middle aged adult driver.

We are interested in analyzing data related to college football. Use S to denote the team is in the SEC and use W to denote a team has a winning season. The probability that a team is in the SEC in the data set is 5.5%. The probability that a team has a winning season is 52.5%. The probability that a team is in the SEC and has a winning season is 3.55%. What percentage of teams are in the SEC or had a winning season? b. What percentage of people teams are in the SEC and did NOT have a winning season? Given a team had a winning season, what is the probability that they are in the SEC? а. с.

At a certain large company, the floor manager reviewing inventory and production. She ultimately comes to the decision that a product should be continued if it sold 150,000 times over the previous year. In addition, the product is considered “popular” if it receives at least 100 mentions by the local press over the past year. An analyst is hired to help with the analysis.  The analyst determines that the probability of sales exceeding 150,000 was 0.331, the probability of 100 or more mentions was 0.162, and the probability that a product both sold 150,000 items, and was also ‘popular’ is 0.064. What is the probability that a randomly selected product either sold the requisite 150,000 items, or that it is ‘popular’? Again, phrase your answers in terms of probability variables (e.g. P(X) = ...,  P(Y)=... etc.) If we are told that an item has indeed reached the threshold of 100 mentions in the press, what is the probability of it selling 150,000 times?  Thought Question: Where would the…

Oxnard petri Ltd is buying hurricane insurance for it's off-coast drilling platform. During the next five years, the probability of total loss of only the above-water superstructure ($250 million) is .25, the probability of total loss of the facility ($950 million) is.25, and the probability of no loss is.50. Find the expected loss.( Input the amount as a positive value.) Expected Loss is what?