Exam 7: Randomness and Probability

Use the addition rule or the multiplication rule for probability. -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. What is the probability that three customers in a row do not get $50? 10 30 10 30 10 20 10 50 10 20

Use the appropriate probability model (Poisson). -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. a. What is the probability that a cell phone sold last month had a camera or a music player? b. What is the probability that a cell phone sold last month did not have either a camera or a music player? c. Is a cell phone having a camera and a music player mutually exclusive? Explain.

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?

Use a contingency table. -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

Does it appear that the decision to purchase an extended warranty and type of electronics (digital camera or laptop computer) purchased are independent? Explain.

Use conditional probability. -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

Determine if two events are disjoint or independent. -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. Which Of the following statement is true?

Use the basic rules and definitions of probability. -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. What is the probability that a customer gets $50? 10 30 10 30 10 20 10 50 10 20

Use the basic rules and definitions of probability. -During its grand opening week, Stickler's bicycle shop offers a "wheel of discount Savings." After customers select the items they wish to purchase, they spin the wheel to Determine the discount they will receive. The 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! The probability that a customer gets at least a 40% discount is

Determine if two events are disjoint or independent. -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?

Use the basic rules and definitions of probability. -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. What is the probability that a customer does not get $50? 10 30 10 30 10 20 10 50 10 20

It has been reported that men are more likely than women to participate in online auctions. A recent study found that 52% of Internet shoppers are women and that 35% of

Use a contingency table. -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

Use the addition rule or multiplication rule for probability. -During its grand opening week, Stickler's bicycle shop offers a "wheel of discount Savings." After customers select the items they wish to purchase, they spin the wheel to Determine the discount they will receive. The 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! The probability that two customers in a row get a 20% discount is

Use the basic rules and definitions of probability. . -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. If Suncast wished to determine probabilities using these data, what type of probability Would it be calculating? Problem Resolved? HD cable TV Internet Phone Yes 123 350 77 No 115 122 63

Use a contingency table. -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

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) general addition rule

Use conditional probability. -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. What is the probability that a respondent had Participated in an online auction given that he is male?

Determine if two events are disjoint or independent. -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?

Use a contingency table. -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 a digital camera and an extended warranty is