Use the following information to answer the next two questions: A service station has a pump that distributes diesel fuel to automobiles. The station owner estimates that only about 4.8 cars use the diesel pump every 2 hours. What is the probability that 5 cars will arrive to use this pump during a two-hour period? O 65.1% O 32.24% O 13.5% O 22.26% O 17.5% QUESTION 32 What is the probability that one or no cars will arrive to use the diesel pump during a half-hour period? O 4.77% 49.3% O 66.26% O 30.12% 36.14%
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- If probability of the student attend the first lecture is 0.55, the probability that he attend the second lecture is 0.40, and the probability he attend both is 0.28. Find probability that he not attend first lecture or not attend the second one: O.72 O.36 O.95 O.27When playing roulette at a casino, a gambler is trying to decide whether to bet $10 on the number 30 or to bet $10 that the outcome is any one of the three possibilities 00, 0, or 1. 3 The gambler knows that the expected value of the $10 bet for a single number is - 53¢. For the $10 bet that the outcome is 00, 0, or 1, there is a probability of 38 of making a net profit of $30 and a probability of losing $10. 35 38 a. Find the expected value for the $10 bet that the outcome is 00, 0, or 1. b. Which bet is better: a $10 bet on the number 30 or a $10 bet that the outcome is any one of the numbers 00, 0, or 1? Why? a. The expected value is $. (Round to the nearest cent as needed.) b. Since the expected value of the bet on the number 30 is C than the expected value for the bet that the outcome is 00, 0, or 1, the bet on is better.53. The annual demand for Prizdol, a prescription drugmanufactured and marketed by the NuFeel Company,is normally distributed with mean 50,000 and standarddeviation 12,000. Assume that demand during each ofthe next 10 years is an independent random numberfrom this distribution. NuFeel needs to determine howlarge a Prizdol plant to build to maximize its expectedprofit over the next 10 years. If the company builds aplant that can produce x units of Prizdol per year, it willcost $16 for each of these x units. NuFeel will produceonly the amount demanded each year, and each unit ofPrizdol produced will sell for $3.70. Each unit of Prizdol produced incurs a variable production cost of $0.20.It costs $0.40 per year to operate a unit of capacity.a. Among the capacity levels of 30,000, 35,000,40,000, 45,000, 50,000, 55,000, and 60,000 unitsper year, which level maximizes expected profit?Use simulation to answer this question.b. Using the capacity from your answer to part a,NuFeel can be 95%…
- The range of probability is O any value between -1 to 1 O any value between minus infinity to plus infinity. any value larger than zero. O zero to one.Suppose the market for auto insurance is made of up two types of buyers: high-risk and low-risk. Buyers’ willingness to pay (WTP) for auto insurance plans, and sellers’ willingness to accept (WTA) when selling plans to each type of buyer, are outlined in a photo Assume now that there is asymmetric information and that insurance companies do not knowhow risky an individual buyer is. In the face of this uncertainty, they determine that the probability that a “walk-in” is high-risk is 0.75. What is the minimum price sellers are willing to accept when selling aninsurance plan? At this price, will low- and high-risk buyers both be willing to purchase this insurance plan? Explain. Be sure the mention adverse selection in your answer. Returning to the conditions outlined in Q1, suppose that buyers of auto insurance (high- and low-risk) were offered a $1,000 subsidy to purchase coverage. This would raise their WTP by $1,000. Would the market for both insurance plans clear after the…Firm 1 Silence Disclosure Silence Firm 2 -200, -200 0, -590 Disclosure -590, 0 -450, -450 fine (a hundred million won) 1. Where is the Nash Equilibrium? - find out the dominant strategy a. (Silence, Silence) = (-200, -200) O b. (Silence, Disclosure) = (-590, 0) c. (Disclosure, Silence) = (0, -590) d. (Disclosure, Disclosure) = (-450, -450)
- An insurance company would like to offer theft insurance for renters. The policy wouldpay the full replacement value of any items that were stolen from the apartment. Someapartments have security alarms installed. Such systems detect a break-in and ring an alarmwithin the apartment. The insurance company estimates that the probability of a theft in ayear is .05 if there is no security system and .01 if there is a security system (there cannot bemore than one theft in any year). An apartment with a security system costs the renter anadditional £50 per year. Assume that the loss from a theft is £10,000 and that the insurancecompany is risk neutral and the renter would be willing to pay more than the expected loss toinsure against the loss of theft. What is the insurance company's break even price for a one year theft insurance policy for anapartment without a security system?Employees of a local university have been classified according to gender and job type. Gender Job Male (M) Female (F) Faculty (FA) Salaried staff (SS) 110 10 30 50 Hourly staff (HS) 60 40 If an employee is selected at random, what is the probability that the employee is female, given that the employee is a salaried member of the staff? Select one: O A. 167 О в. 625 O C. 267 O D. 375 O E. 5005.100 Tossing a die. You are tossing a balanced die that has probability 1/6 of coming up 1 on each toss. Tosses are independent. We are interested in how long we must wait to get the first 1. (a) The probability of a 1 on the first toss is 1/6. What is the probability that the first toss is not a 1 and the second toss is a 1? (b) What is the probability that the first two tosses are not 1s and the third toss is a 1? This is the probability that the first 1 occurs on the third toss. 4 (c) Now you see the pattern. What is the probability that the first 1 occurs on the fourth toss? On the fifth toss?
- Consider the game shown in Figure 3. Let A denote the probability that player I plays a, B the probability that player 1 plays b, C the probability that player I plays e, and D the probability that player I plays d. For player 2 X denotes the probability that player 2 plays x, Ý that he/she plays y, and Z that he she plays z. Figure 3 Player 2 O 3,7 4,6 5,4 b 5,1 2,3 1,2 c 2,3 1,4 3,3 d 4,2 1,3 6,1 Player 1 In a NE what is: C, the probability that player 1 plays e a. Z, the probability that player 2 plays z b. D, the probability that player 1 plays d c. d. X, the probability that player 2 plays x e. A, the probability that player 1 plays aSuppose X is a random variable with possible values -2,3 and 1 and with respective probabilities 0.22, 0.35, and 0.43 then the mean and standard deviation of X, respectively, are: of a. 1.04 and 1.838 O b. 1.04 and 1.876 O c. 0.667 and 1.876 d. 1.04 and 0.3733 O e. 0.667 and 0.37335. Probability help me uhuhuhuh