The random variable x is the number of occurrences of an event over an interval of 10 miniutes. it can be assumed that the probability of an occurrence is the same in any two two time periods of an equal length. it is known that the mean number of occurrences in 10 minutes is 5.3.(a) the expected value of the random variable x is 2 5.3 10 2.3 none of the above answers is correct(b) the probability that there are 8 occurrences in 10 minutes is 0.0241 0.0771 0.1126 0.9107 none of the above answers is correct(c) the probability that there are less than 3 occurrences is 0.0659 0.0948 0.1016 0.1239 none of the above answers is correct

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Suppose you win a small lottery and have the choice of two ways to be paid: you can accept the money in a lump sum or in a series of payments over time. if you pick the lump sum, you get $2,950 today. if you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today. 1) at an interest rate of 6% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 2) at an interest rate of 9% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 3) years after you win the lottery, a friend in another country calls to ask your advice. by wild coincidence, she has just won another lottery with the same payout schemes. she must make a quick decision about whether to collect her money under the lump sum or the payments over time. what is the best advice to give your friend? a) the lump sum is always better. b) the payments over time are always better. c) it will depend on the interest rate; advise her to get a calculator. d) none of these answers is good advice.

The cook corporation has two divisions--east and west. the divisions have the following revenues and expenses: east west sales $ 603,000 $ 506,000 variable costs 231,000 300,000 traceable fixed costs 151,500 192,000 allocated common corporate costs 128,600 156,000 net operating income (loss) $ 91,900 $ (142,000 ) the management of cook is considering the elimination of the west division. if the west division were eliminated, its traceable fixed costs could be avoided. total common corporate costs would be unaffected by this decision. given these data, the elimination of the west division would result in an overall company net operating income (loss)