Fewer than 10 arrivals with A = 6.40. (Round your answer to 5 decimal pl bability At least 9 arrivals with A = 5.40. (Round your answer to 5 decimal places bability At most 15 arrivals with A = 13.00. (Round your answer to 5 decimal place bability
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- Exercise 15:- Each unit of a product produced and sold earns a profit of Rs. 50 and unsold units result into a loss of Rs. 30. The probability distribution is given below :Units Demanded : 0 1 2. 3.Probability : 0.2. 0.2. 0.25. 0.3Calculate EPPI and EVPI.The probability distribution of the daily number of customers at the YumYum is given below. Daily number of customers Probability 20 0.2 40 0.3 60 0.4 80 0.1 What is the probability that on a given day the YumYum has less than 70 customers? Group of answer choices 0.1 0.8 0.9 0.5 thanks for helpA regional automobile dealership sent out fliers to perspective customers indicating that they had already won one of the three different prizes: automobile valued at $25,000, a $100 gas card, or a $5 Walmart shopping card. To claim his or her prize, a prospective customer needed to present the flier at the dealership’s showroom. The fine print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31,748, the chance of winning the gas card was 1 out of 31,748, and the chance of winning the shopping card was 31,746 out of 31,748.How many fliers the automobile dealership sent out? Please explain. Using your answer to above and the probabilities listed on the flyer, what is the expected value ofthe price won by a prospective customer receiving a flyer? Demonstrate all necessary steps. Using your answer to the first question and the probabilities listed on the flyer what is the standarddeviation of the value of the price one by the…
- A car salesperson estimates the following probabilities for the number of cars that she will sell in the next week: Number of cars 0 1 2 3 4 5 Probability 0.10 0.20 0.35 0.16 0.12 0.07 a. Find the expected number of cars that will be sold in the week.b. Find the standard deviation of the number of cars hat will be sold in the week. c. The salesperson receives a salary of $250 for the week, plus an additional $300 for each car sold. Find the mean and standard deviation of her total salary for the week. d. What is the probability that the salesperson’s salary for the week will be more than $1,000?Beer bottles are filled so that they contain an average of 330 ml of beer in each bottle. The amount of beer in a bottle is normally distributed with a standard deviation of 2.9 ml. 21 What is the probability that a randomly selected 6-pack of beer will have a mean amount in 6 bottles less than 328ml? a 0.0292 b 0.0365 c 0.0456 d 0.0570You work at a mechanic shop. On average, 10 cars come into your shop each day. Assuming a poisson distribution, what is the probability 4 cars come into the shop? Round to 4 decimal points.
- An equipment proposal from two vendors A and B have been received from a local company. The quality of these equipment have been varying and consequently the cost of manufacturing the product using these two different equipment has also varied. The varying costs based on the probabilities of defects are given in table below.Determine the better vendor.The probability distribution for damage claims paid by the Newton Automobile Insurance Company on collision insurance is shown as follows: there is a 62% chance there won't be a claim ($0), a 11% chance of a $1000 claim, a 8% chance of a $2700 claim, and otherwise, the claim will be $9000. What is the expected value of an insurance claim for this company? (please express your answer using 2 decimal places).A company invests on selling computer units worth Php 32,000.00. The probability of maintaining this price throughout the year is 65% while that of less or more than 10% expected are 15% and 20%, (a) what is the probability that the selling price for that year is more than the expected price?
- The diameters of ball bearings are distributed normally. The mean diameter is 99 millimeters and the standard deviation is 5 millimeters. Find the probability that the diameter of a selected bearing is greater than 109 millimeters. Round your answer to four decimal places.Your company has a customer list that includes 3000 people. Your market research indicates that 90 of them responded to the coupon. If you send a coupon to ONE customer at random, what’s the probability that he or she will use the coupon? Group of answer choices 3%. 9%. 30%. 90%. None of the above.Your employer, an insurance company, would like to offer theft insurance for renters. The policy would pay the full replacement value of any items that were stolen from the apartment. Some apartments have security alarms installed. Such systems detect a break-in and ring an alarm within the apartment. The insurance company estimates that the probability of a theft in a year is .05 if there is no security system and .01 if there is a security system (there cannot be more than one theft in any year). An apartment with a security system costs the renter an additional $50 per year. Assume that: the dollar loss from a theft is $10,000, the insurance company is risk neutral, and the renter would be willing to pay more than the expected loss to insure against the loss of theft. What is the insurance company's break-even price for a one-year theft insurance policy for an apartment without a security system? Does a renter have an incentive to pay for a security system if he…