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- Show that if ν > 2, the chi-square distribution has arelative maximum at x = ν − 2. What happens whenν = 2 or 0 <ν< 2?If X follows a gamma distribution with a mean of 12 and a standard deviation of 6 then the parameter:In a certain city, the daily consumption of electricpower in millions of kilowatt-hours can be treated as arandom variable having a gamma distribution with α = 3and β = 2. If the power plant of this city has a daily capacity of 12 million kilowatt-hours, what is the prob-ability that this power supply will be inadequate on any given day?
- Consider the CAPM. The risk-free rate is 6% and the expected return on the market is 18%. What is the expected return on a stock with a beta of 1.3 when market is efficient?Suppose X1, . . . , Xn ∼ Exponential(λ) is a set of n observations drawn independently from an Exponential distribution. (e) Take the second partial derivative of the score function. (f) Check to make sure this value is negative to ensure that the log-likelihood function is concave down.A)I will test the claim that there is no correlation (start with the Claim and finish with the conclusion) The best estimate The P value is (big/small) so I have to (either give the average of the y's or plug in the x into the y-=mx+b)
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