David, the promoter of an outdoor concert, expects a net profit of $100,000, unless it rains, which would reduce the net profit to $40,000. The probability of rain is 0.25. For a premium of $27,000David can purchase insurance coverage that would pay him $100,000 in case of rain. Based on expected values, which is David's wiser choice in this situation?DavidU₂₁purchase the insurance because the expected profit if he buys insurance is $. This isshould notshouldUt+-0₁+π-8a●iB÷eYMacBook AirX|Ө<μS2σDII>Athe expected profit if he does not buy insurance, which is $2EΣ#€F9Ź=S14.F104сLess¢A4F11√VVNext4)F12

David, the promoter of an outdoor concert, expects a net profit of $100,000, unless it rains, which…

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Mark is deciding which route to take to work. His choices are I = the Interstate and F = Fifth Street. P(I) = 0.08 and P(F) = 0.05 P(I AND F) = 0 because Mark will take only one route to work. What is the probability of P(I OR F)? Enter your answer as a decimal rounded to 2 places. Type a 0 in front of the decimal. If your answer is only one decimal, type for example 0.2 not .2 or 0.20.
To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $3,400, and the commission for each new account opened is $4,900. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account. Determine the equation for computing Gustin's profit per seminar, given static values of the relevant parameters. Profit =(New accounts opened x _______)-_________ Construct a simulation model to analyze the profitability of Gustin's seminars. Would you recommend that Gustin continue running the seminars? (Use at least 1,000 trials. Round your answer to two decimal places.) What is the minimum number of attendees (in a multiple of five, i.e., 25, 30, 35, …) that Gustin needs before a seminar's average profit is greater than zero? =______ attendees
The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $5 each and will sell 500 tickets. There is one $3,000 grand prize, three $400 second prizes, and fifteen $20 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.
A booth at the school carnival prepared 30 grab bags offered for sale for $3.00 a bag. Ten bags contain merchandise worth $1.00. Eight bags contain merchandise worth $2.00, and twelve bags contain merchandise worth $3.00. You purchase one bag. What is your expected gain or loss?
An insurance company sells a $9,000, seven-year term life insurance policy to an individual for $560. Find the expected return for the company if the probability the individual will live for the next seven years is 0.96. (Round your answer to the nearest cent.)An insurance company sells a $9,000, seven-year term life insurance policy to an individual for $560. Find the expected return for the company if the probability the individual will live for the next seven years is 0.96. (Round your answer to the nearest cent.)
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You purchase a brand new car for $17,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. X P(X)
Dash and Lily Corporation wanted to raise funds for the poor. The first prize for a raffle is S500,000 (with a probability of 0.001) and the second prize is S250,000 (with a probability of0.003). What is a fair price to pay for a single ticket in this raffle?
Charlie buys a one-year term home insurance policy for $p, that will pay $200,000 in the event of a major catastrophe and $35,000 in the event of a minor catastrophe. Charlie's home has a 0.2% chance of a major catastrophe and a 0.7% of a minor catastrophe during the one year term. What did the insurance company charge Charlie for this policy if the company expected to break even?
Delaney is about to take a final exam that consists of 20 questions. To motivate her to study, her parents promised her $500 if she gets at least 17 questions right. The questions are multiple choice and the probability of her getting a question right is 0.75 on each question of the final exam. What is the probability that she gets exactly 17 questions right? What is the probability that she gets at least 17 questions right?
Your friend offers to place a bet with you. He will pay you $2 if your favorite sports team wins the game on Tuesday night. But you will pay him $3 if his team wins. Your team has an 55% chance of winning, whereas his only has a 45% chance. This bet is in your favor. True or False?
You purchase a brand new car for $15,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. P(X) (b) Compute the minimum amount the insurance company will charge for this policy. Round your answer to the nearest cent

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