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- The blood-typing system is based on the presence or absence of antigens. A person with antigen A has blood type A. A person with antigen B has blood type B, and a person with both antigens has the blood type AB. If there are no antigens, then the blood type is O. In addition, blood types are also identified as Rh-positive or Rh-negative based on a different antigen. What is the probability that a person has the A antigen or is Rh-positive?C. An insurance company calculates car insurance company calculates car insurance premiums based on the age of the policyholder according to three age groups: Group A consists of drivers younger than 22 years old; Group B consists of drivers 22-33 years old, and Group C consists of drivers older than 33 years. Its portfolio consists of 10% Group A policyholders, 38% Group B policyholders and 52% Group C policyholders. The probability of a claim in any 12 month period for a policy belonging to Group A, B or C is 13%, 3% and 2%, respectively. (i) Calculate the probability that a randomly chosen policy holder from this portfolio will make a claim during a 12 month period. One of the company's policyholders has just made a claim (ii) Calculate the probability that the policy holder is younger than 22 years.An insurance policy costs $120 and will pay policyholders $9,000 if they suffer a major injury (resulting in hospitalization) or $3000 if they suffer a minor injury (resulting in lost time from work). The company estimates that 1 in every 2088 policyholders will suffer a major injury and that 1 in 504 will suffer a minor injury. a) Create a probability model for the profit on a policy. b) What's the company's expected profit on the policy? c) What's the standard deviation? a) First find the probability and profit for each outcome. P(event) Profit no injury major injury minor injury (Round to six decimal places as needed.)
- In Las Vegas $1 slot machines average a 95% payout;in other words, the expected value of a $1 bet is $0.95.Given that the machines’ outcomes are random, which ofthese is true?A) A gambler who spends $100 will win $95 back.B) If a gambler plays long enough, he’ll get all but 5%of his money back.C) There is a 95% chance that a gambler will losemoney.D) In the long run, the casinos’ profits should be about5% of what the gamblers bet.E) A gambler who has lost many times in a row is morelikely to win on the next bet.The First Mortgage Company has noted that 6% of its customers pay their mortgage payments after the due date. a. What is the probability that in a random sample of 150 customers 7 will be late on their payments? b. What is the probability that in a random sample of 150 customers at least 10 will be late on their payments?A hurricane bond pays the holder a face amount, say $1 million, if a hurricane causes major damage in a certain country. Suppose that the chance for such a storm is 4% per year. (a) If a financial firm sells these bonds for $62,000 what is the chance that the firm loses money if it only sells one of these? (b) If the firm sells 1,000 of these policies, each for $62,000, what is the probability that it loses money? (c) How does the difference between parts a and b compare to the situation of a life insurance company that writes coverage to numerous patients that live or die independently of one another? ... (a) If a financial firm sells these bonds for $62,000, the probability that the firm loses money if it only sells one of these is integer or a decimal.) (Type an
- Use the contingency table to determine the following probabilities. a. P(B or C) b. P(B or D) c. P(A or E) d. P(A or B) a. P(B or C) = 0.56 (Round to two decimal places as needed.) b. P(B or D)= 0.70 (Round to two decimal places as needed.) c. P(A or E) = 0.76 (Round to two decimal places as needed.) d. P(A or B) = (Round to two decimal places as needed.) Event C Event D Event E S Event A 7 14 8 Event B 10 2 91. Researchers are interested in the relationship between vaping and upper respiratory infections. Suppose that 15% of their population of interest has vaped in the past year and 25% have had an upper respiratory infection in the past year. In addition, they know that 10% have both vaped and had an upper respiratory infection in the past year. What percent of the population has neither vaped nor had an upper respiratory infection in the past year? b. What is the probability of having an upper respiratory infection in the past year given that the person has vaped in the past year? What is the complement of the event in part b)? Be sure to interpret this probability in the context of the problem. a. C. d. What is the probability of having an upper respiratory infection in the past year given that the person has not vaped in the past year? Are the two events independent? Be sure to justify your answer. Based on your calculations what can you conclude about the relationship between vaping…An insurance company issues policies of two types - 20% are of type A and the remainder are of type B. For the type A policies, 36% of the policyholders are female, while for type B policies, 16% of policyholders are male. If a policy is selected at random from those held by females, what is the probability that it is a type A policy?
- Q1 1. The following spinner was spun 38 times. What is the probability of spinning A 16 times? Insert ImageAn insurance company calculates car insurance premiums based on the age of the policyholder according to three age groups: Group A consists of drivers younger than 22 years old; Group B consistsof drivers 22—33 years old, and Group C consists of drivers older than 33 years.Its portfolio consists of 10% Group A policyholders, 38% Group B policyholdersand 52% Group C policyholders.The probability of a claim in any 12 month period for a policy belonging to GroupA, B or C is 13%, 3% and 2%, respectively.(i) Calculate the probability that a randomly chosen policy holder from thisportfolio will make a claim during a 12 month period. One of the company’s policyholders has just made a claim(ii) Calculate the probability that the policy holder is younger than 22 years.C. An insurance company calculates car insurance company calculates car insurance premiums based on the age of the policyholder according to three age groups: Group A consists of drivers younger than 22 years old; Group B consists of drivers 22-33 years old, and Group C consists of drivers older than 33 years. Its portfolio consists of 10% Group A policyholders, 38% Group B policyholders and 52% Group C policyholders. The probability of a claim in any 12 month period for a policy belonging to Group A, B or C is 13%, 3% and 2%, respectively. (i) Calculate the probability that a randomly chosen policy holder from this portfolio will make a claim during a 12 month period. One of the company's policyholders has just made a claim (ii) Calculate the probability that the policy holder is younger than 22 years.