The Kwik Klean car wash loses $250 on rainy days and gains $1200 on non rainy days. If the probability of rain is 0.13, what is the expected net profit?
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The Kwik Klean car wash loses $250 on rainy days and gains $1200 on non rainy days. If the probability of rain is 0.13, what is the expected net profit?
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- The shipping costs for fresh fruit items have been estimated and assigned the probabilities shown below. The expected value of the shipping costs is closest to: (a) $36.33 (b) $39.21 (c) $41.28 (d) $45.11 Shipping Cost, $ 34 38 55 Probability 0.22 0.31 0.47The probability distribution for the number of automobiles sold during a day (x) at Bob Iron Motors is as follows. x f(x) 0 0.001 1 0.007 2 0.034 3 0.099 4 0.188 5 6 0.220 7 0.136 8 0.055 9 0.015 10 0.001 21 The expected value of the number of automobiles sold is, a 5.20 b 5.31 c 5.42 d 5.53Players would draw a card from a standard 52 card deck. Whatever card they drew determined what they won. If they draw a face card (Jack, King, Queen) then they win $5. If they draw an Ace, they win $15. For all other cards, they win nothing. A. Fill out the probability distribution table with the probabilities of each possible outcome for this game. Round decimals to four places. x $15 $5 $0 P(x) B. What is the expected value of the distribution above? (Round to the nearest cent, two decimal places.) C. If players were charged $2 per game, would they make and average profit on the games over time, or would they take an average loss over time? D. If players were charged $3 per game, would they make and average profit on the games over time, or would they take an average loss over time?
- Annual savings due to an energy efficiency project have a most likely value of $30,000.The high estimate of $40,000 has a probability of 0.2, and the low estimate of $20,000has a probability of 0.30. What is the expected value for the annual savings?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).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 help
- Find the expected value assuming the risk factor is 30 % and the interest rate 12%, if you will receive $20,000 one year from today.please show workI am in possession of two coins. One is fair so that it lands heads (H) and tails (T)with equal probability while the other coin is weighted so that it always lands H. Bothcoins are magical: if either is flipped and lands H then a $1 bill appears in your wallet,but when it lands T nothing happens. You may only flip a coin once per period. Theinterest rate is i per period. You are risk-neutral and thus only concern yourself withexpected values (and not variance). For simplicity, in the questions below assumeyou will live forever.1. How much are you willing to pay for such a coin that you know is fair? 2. How much are you willing to pay for such a coin that you know is weighted? 3. I currently own the coins and know which is fair and which is weighted, but youcannot tell which is which. You may make an offer to purchase a coin of yourchoosing, which I am free to accept or reject. What is the most you are willingto offer? Explain how you arrived at this answer.A manager must decide whether to lease a small or large machine for one year. The small machine will cost them £10,000; the large machine £30,000. The small machine can produce up to 500 units a month;the large machine 3000 units. If they find a distributor (an event which they believe has a probability p) then there will be a market for 2200 units per month over the year; otherwise just 400 units. Whichever machine they lease, they will manufacture precisely the number of units which they sell. The profit per unit sold is £5. For what values of p, rounded to 2 decimal places, is the optimal EMV solution to lease the small machine?
- 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 the number of automobiles sold during a day (x) at Bob Iron Motors is as follows. x f(x) 0 0.001 1 0.007 2 0.034 3 0.099 4 0.188 5 6 0.220 7 0.136 8 0.055 9 0.015 10 0.001 24 Suppose the gross profit per vehicle sold is $1,820 . The standard deviation of gross profit is, a $3,105.50 b $3,029.76 c $2,955.86 d $2,883.77A 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% the expected are 15% and 20%, (a) what is the probability that the selling price for that year is more than the expected price? a. 0.8 b. 0.85 c. 0.25 d. 0.2 e. 1 f. 0.15 g. 0.65