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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)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 centThe annual premium for a $20,000 insurance policy against the theft of a painting is $300. If the probability that the painting will be stolen during the year is 0.02, what is your expected return from the insurance company if you take out this insurance? Upload your answer with your work and explanations here
- A daycare provider has determined that 80% of the children in her care develop colds each winter. This year there are 40 children at the daycare. What is the probability that fewer than 30 children will develops colds this winter? Please explain. Options A. 0.2148 B. 0.2852 C. 0.5704 D. 0.4297Create your own probability problem using a number cube. Classify your event and its compliment. Are the events mutually exclusive? Find the probability of the event occurring, its complement occurring, the event and its compliment occurring, and the event or its complement occurring.During a basketball game, Sebastián is shooting two free throws. He makes 95% of his free throws. Assuming that his free throws are independent events, find the percent chance that he... (Note: Do not round your answers.) is in the groove and makes both free throws. makes the first and then misses the second. misses the first and then makes the second. struggles and misses both of his free throws. What is the sum of these four answers? % % % do %
- You pay $20 to enter a raffle. The first ticket drawn wins $1036, the second ticket drawn wins $477, the third through fifth win $186, and the sixth through tenth win $49. Suppose 2345 tickets were sold. What is the expected earning on your ticket?It is the beginning of September and you have been offered the following deal to go heli-skiing. If you pick the first week in January and pay for your vacation now, you can get a week of heli-skiing for $2,900. However, if you cannot ski because the helicopters cannot fly due to bad weather, there is no snow, or you get sick, you do not get a refund. There is a 30% probability that you will not be able to ski. If you wait until the last minute and go only if you know that the conditions are perfect and you are well, the vacation will cost you $4,600. You estimate that the pleasure you get from heli-skiing is worth $6,700 per week to you (if you had to pay more than that, you would choose not to go). If your cost of capital is 11% per year, should you book ahead or wait? You should because the NPV of this choice is $ book ahead wait (Round to two decimal places.)Rodney is going to shoot a total of 9 free-throws to prove he is a better shooter than Chris. During warm-ups Rodney can make 57% of practice shots. The challenge results are as follows… • 9 hits Rodney wins $100 • 6-8 hits Rodney wins $25 • 4-5 No one wins • 0-3 hits Chris wins $15 What is the probability that Rodney makes 7 shot?