1. Suppose that Т 90 91 Pr 92 93 94 0.2 0.1 0.05 0.01 0 Find e90:21, E(K(90)^2), and E(K90^2).
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- If n is a power of 2, prove that M(n) = (n log n) / 2 , using Master of Theorem method. Show all your steps.Make a conjecture about an explicit formula for Snplease answer in 30 mins. and only if you are sure. ACME company is considering on bidding 3,000, 3400, or 3,800 (or not bidding at all) on a job. The charity will choose the lowest bid. ACME estimates that it will cost $235 to prepare a bid and labour and material costs of $2,500 if they win the contract. Based on past contracts of this type, ACME believes it can speculate on thr values of the possible low bids from the competition, if there's any competition, and the associated probabilities are shown: competitors bid amount (if any) Less than $3000. Probability (0.45) Greater than or equal to $3,000 but less than 3,400 Probability (0.33) Greater than or equal to 3,400 but less than 3,800 Probability (0.18) Greater than or equal to 3,800 . Probability (0.04) Can someone help me calculate the profit for the payoff table?
- The brightness of a television picture tube can be evaluated by measuring the amount ofcurrent required to achieve a particular brightness level. A sample of 10 tubes results in x̅=317.2 and σx̅ = 15.7. Suppose that the design engineer claims that this tube will require atleast 300 microamps of current to produce the desired brightness level. Formulate and test anappropriate hypothesis to confirm this claim using α = 0.05.For #1 could this be shown without the use of Moment Generating FunctionShow that Sn is solvable when n ≤ 4.
- If you don't have a calculator, you may want to approximate 8.0362/3 by 82/3. Use the Mean Value Theorem to estimate the error in this approximation.Find the coefficient of x^0 in the expansion ((x^2)+1/x)Find ln(9.2) from ln(9.0) = 2.1972 and ln(9.5) = 2.2513 by linear interpolation and get the %error.