Exam 5: Randomness and Probability

A small manufacturing company recently instituted Six Sigma training for its employees. Two methods of training were offered: online and traditional classroom. Management was interested in whether the division in which employees worked affected their choice of method. Below is a table summarizing the data. A. What is the probability that an employee chose online training? b. What is the probability that an employee is in the quality division and chose online training? c. What is the probability that an employee chose online training given that he/she is in the sales division?

A major airline keeps track of data on how their passengers redeem frequent flyer miles. They found that in the last year 58% of passengers redeemed them to purchase tickets for domestic travel, 44% redeemed them to purchase tickets for international travel, and that 16% redeemed them to purchase tickets for both domestic and international travel. A. What is the probability that in the last year a passenger redeemed frequent flyer miles to purchase a ticket for domestic or international travel? b. What is the probability that in the last year a passenger did not redeem frequent flyer miles to purchase a ticket for domestic or international travel? c. Is redeeming frequent flyer miles to purchase a ticket for domestic and international travel mutually exclusive? Explain.

During a promotion, Christina's department store offers a mailing "scratch a winner - discount savings." After customers select the items they wish to purchase, they scratch Their discount sticker from the mailing to determine the discount they will receive. The Scratch wheel is divided into 12 slices. Six slices are red and award a 10% discount, Three slices are white and award a 20% discount, and two slices are blue and award a 40% Discount. The remaining slice is gold and awards a 100% discount if the customer Scratches that slice! The probability that a customer gets at least a 40% discount is

As accounts manager in your company, you classify 75% of your customers as "good credit" and the rest as "risky credit" depending on their credit rating. Customers in the "risky" category allow their accounts to go overdue 50% of the time on average, whereas Those in the "good" category allow their accounts to become overdue only 10% of the Time. What percentage of overdue accounts are held by customers in the "risky credit" Category?

A manufacturer claims that its drug test will detect steroid use (that is, show positive for an athlete who uses steroids) 95% of the time. Further, 15% of all steroid-free Individuals also test positive. 10% of the rugby team members use steroids. Your friend On the rugby team has just tested positive. The correct probability tree looks like

Suncast Cable offers high definition (HD) cable TV, Internet and phone services to its customers. For those service issues that can be resolved by calling its technical Support center, Suncast's goal is to have the problem solved within 30 minutes. In order To determine how well it is achieving this goal, they monitored calls to its technical Support center over the last three months. The data compiled is shown in the table below. What is the probability that a call to the technical support center involved an issue with Internet service or was not resolved within 30 minutes? Problem Resolved? HD cable TV Internet Phone Yes 123 350 77 No 115 122 63

As an incentive to get new customers, the local branch of a bank launched "bouncing for bucks." During this week long event, any customer opening a new checking account With the bank would have the opportunity to throw a bouncy rubber ball into a large box Divided into squares. Each square was labeled with a dollar amount that would be Deposited into his/her new checking account. The way the box was labeled is shown Below. Out of the next three customers that come into the bank and play the game, what Is the probability that at least one gets $50? 10 30 10 30 10 20 10 50 10 20

The option to buy extended warranties is commonplace with most electronics purchases. But does the type of purchase affect a consumer's willingness to pay extra for An extended warranty? Data for 420 consumers who purchased digital cameras and Laptop computers from a leading electronics retailer are summarized in the table. The Probability that a consumer does not purchase an extended warranty is

It has been reported that men are more likely than women to participate in online auctions. In a recent survey, 65% of respondents reported that they had participated in an Online auction. In this same survey, 45% of respondents were men and 38% were men Who had participated in online auctions. Which of the following is true?

Suncast Cable offers high definition (HD) cable TV, Internet and phone services to its customers. For those service issues that can be resolved by calling its technical support Center, Suncast's goal is to have the problem solved within 30 minutes. In order to Determine how well it is achieving this goal, they monitored calls to its technical support Center over the last three months. The data compiled is shown in the table below. What Is the probability that a call to the technical support center involved an issue with Internet Service? Problem Resolved? HD cable TV Internet Phone Yes 123 350 77 No 115 122 63

The option to buy extended warranties is commonplace with most electronics purchases. But does the type of purchase affect a consumer's willingness to pay extra for An extended warranty? Data for 420 consumers who purchased digital cameras and Laptop computers from a leading electronics retailer are summarized in the table. The Probability that a consumer purchases an extended warranty given that he/she has Purchased a digital camera is

A recent survey of local cell phone retailers showed that of all cell phones sold last month, 64% had a camera, 28% had a music player and 22% had both. The probability That a cell phone sold last month had a camera or a music player is

As you enter the bank, you watch four persons in front of you all win $50. The local branch manager tells you how lucky you are to be throwing the ball while it is on a hot streak but the friend with you says that you're unlucky because the streak can't continue. Comment on their statements.

A recent survey of local cell phone retailers showed that of all cell phones sold last month, 64% had a camera, 28% had a music player and 22% had both. Which of the Following statements about cell phones sold last month is true?