Reference no: EM13949893
1. In general, you should give your answers as fractions. Where you give an answer as a decimal, you should give it correct to four decimal places.
(a) In this part of the question, state which rule of probability you use for each calculation.
A standard pack of 52 playing cards is shufled thoroughly and then cut. The pack is then shufled and cut for a second time. Within the pack, a ‘picture' card is defined to be a card showing an ace, king, queen or jack (that is, not a card showing any of the numbers 2, 3,... , 10).
(i) Find the probability that the first time the pack is cut, the card displayed is a picture card.
(ii) Find the probability that a picture card is displayed on both of the occasions that the pack is cut.
(iii) Find the probability that a picture card is displayed on at least one of the occasions that the pack is cut.
(b) In this part of the question, state which distribution you use.
Nicholas Bernoulli suggested that the births of boys and girls could be modelled by rolling a die with 35 faces, of which 18 represent a boy and 17 represent a girl.
(i) Find the probability that, according to this model, a couple who continue to have children until they have a boy will have precisely 5 children.
(ii) Find the probability that, according to this model, a couple who continue to have children until they have a boy will have more than 5 children.
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What would you be willing to pay for the stock
: If rates of return available in the market decline and you now require only a 10% rate of return, what would you be willing to pay for the stock?
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Determine maximum theoretical rate of heating
: Determine the maximum theoretical rate of heating provided by a heat pump, in kW per kW of power input, in each of two cases: The role of the cold reservoir is played by (a) the atmosphere at 2208C, (b) ocean water at 58C.
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Determine the actual operating cost
: (a) Determine the actual operating cost and the minimum theoretical operating cost, each in $/day. (b) Compare the results of part (a) with the cost of electrical- resistance heating.
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Why would one question whether the well-documented
: Why would one question whether the well-documented improvement efforts in CA-BSI in adult ICU setting are transferrable to pediatric settings? Why might some PICU staff members resist implementing the central bundle given its success elsewhere?
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Find the probability that the first time the pack is cut
: Find the probability that, according to this model, a couple who continue to have children until they have a boy will have more than 5 children.
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Prepare a schedule to determine goodwill
: For internal reporting purposes, JDE employed the equity method to account for this investment.Prepare a schedule to determine goodwill, and the amortization and allocation amounts.
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Determine the minimum theoretical operating
: By supplying energy at an average rate of 24,000 kJ/h, a heat pump maintains the temperature of a dwelling at 208C. If electricity costs 8.5 cents per kW ? h, determine the minimum theoretical operating cost for each day of operation if the heat p..
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What is the liability in dollars on first march
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Coefficient of performance of the heat
: Determine (a) the coefficient of performance of the heat pump. (b) the coefficient of performance of a reversible heat pump operating between hot and cold reservoirs at 708F and 308F, respectively, and the corresponding rate at which energy wo..
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