A committee of 4 persons is to be appointed from 3 officers of the production department, 4 officers of the purchase department, two officers of the sales department and I chartered accountant. Find the probability of forming the committee in the following manner : (i) There must be one from each category (ii) It should have at least one from the purchase department (iii) The chartered accountant must be in the committee?
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- themepans i max Task 3: During the last 10 years, a corporation's net profit increased year over year 6 times and decreased year over babive969 with characteristicsmber of annual earnings increases for the next 10 years is modelled in 4 times. Assume that the accordance with quote of the binomial distribution. Estimate the probability that the corporation's net profit will increase in exactly 4 of the next 10 years. tot twee monteutimut ethomi smo bsd-.2.U A :clesT Diswiot brs toqe ert tuods noitsmotnleysb 08 ni utimut to insmqinle 6 101 000,000,83 vsqof ever lliw 2.0 woled nevig ai 29161 (AU3 8.0 ataoo 020) 008.0 02U AU3 eer.o 020 A03 9161 toqe tre etsi biswiot ysb-08The data from 200 machined parts are summarizedas follows:y yesdepth of boreE, noabovebelowedge conditioncoarsetarget15target10moderatesmooth25205080(a) What is the probability that a part selected has a moderateedge condition and a below-target bore depth?(b) What is the probability that a part selected has a moderateedge condition or a below-target bore depth?(c) What is the probability that a part selected does not have amoderate edge condition or does not have a below-targetbore depth?(d) Construct a Venn diagram representation of the events inthis sample space.ONLY SOLVE D An investor with a total wealth of $100 is faced with the following opportunities. First, he may invest $100 now and receive $144 if there are good times, but receive $64 if there are bad times. The investor estimates that good times happen with 50% probability.He can also buy an investor newsletter whether good times or bad times will occur. (a) Draw the decision tree that illustrates the options available to the investor and the payoffs to the different options. Define P as the price of the newsletter. (b) If the investor is risk-neutral with U(M) = M, where M is income, how much would he be willing to pay for the subscription to the newsletter? (c) If the investor is risk-averse with utility U(M) = M0.5, where M is income, how much would this investor be willing to pay for the subscription to the newsletter? (d) Suppose that the owner of the newsletter estimates that there are 75 risk-averse investors like those of part (c) and 25 investors like those of part(b). If…
- 6.33 Statistics released by the National HighwayTraffic Safety Administration and the National SafetyCouncil show that on an average weekend night, 1 outof every 10 drivers on the road is drunk. If 400 driversare randomly checked next Saturday night, what is theprobability that the number of drunk drivers will be(a) less than 32?(b) more than 49?(c) at least 35 but less than 47?An investor is considering the following two investments.•Investment 1 has an expected rate of return (profit) of 8% and costs $40 per share.•Investment 2 has an expected rate of return (profit) of 5% and costs $30 per share.The investor has $100 to invest to maximize her total expected rate of return, and shemust buy whole shares (not partial/factional shares) of the investments.(a) Formulate the investor’s integer programming problem.(b) Solve the investor’s problem using branch and bound and explain youranswer. How much of each investment does the investor purchase?asnwer for 2.
- Q4: An investor invests $1000 a month, on average, in a stock market security. Because the investor must wait for good "buy" opportunity, the actual time of purchase is random. The investor usu- ally keeps the securities for about 3 years on the average but will sell at random times when a good "sell" opportunity presents itself. Although the investor is generally recognized as a shrewd stock market player, past experience indicates that about 25% of the securities decline at about 20% a year. The remaining 75% appreciate at the rate of about 12% a year. Estimate the inves- tor's (long-run) average equity in the stock market. Hint: use the average number of securities in the market.probability and random variable Haider Ali AL-Saidi EXomfle CH-o): let X aned Y are C.g.Vs with joint →くれく4 →にすOnly answer 1st in detail plsThey need to be probabilities and there should be six answer 1-a-b etcA graduating senior has been accepted by three uni- versities for an M.S. in engincering. Two criteria have been identified. The first is the program and university's academic ranking. The second is the cost. A third criteria of location was initially consid- ered, but then the student recognized that it is only for about a year, and applications were only made to acceptable schools. The student is currently enrolled in the first university, which is rated as a 5 for aca- demic rank and a 10 for cost. The second is a larger out-of-state public university, which is rated as an 8 for academic rank and a 6 for cost. The third is a prestigious private school, which is rated as a 10 academically and a 3 for its higher cost. (a) What is the total score for each school if the two objectives have the same weight? (b) If academic rank is has a weight of 75%, what is the total score for each school?make sure the answer is corrrect 100%SEE MORE QUESTIONS