Let X have a gamma distribution with alpha=4, and beta=3. Find P(9<X<27).
Let X have a gamma distribution with alpha=4, and beta=3. Find P(9<X<27).
If X has a gamma distribution with alfa = 2 and beta = 1, find pl 1.6 < X <2.8) Goma Distidiosa Fox) = f(...) for x 30 Q2. Let X be a continuous random variable with f(x) = 0.5ež for x > 0 and 0 otherwise. Find the expected value of g(x) = ei x <2.8) for xxo Gumma. Distribution F() =fQ, XB) - Ba otherwise
3. Let A(alpha)= (as shown in picture) a) Show that A(alpha)A(beta) = A(alpha+beta) b) Use part (a) to find the Inverse if A(alpha) 4. Find the inverse (if they exist) of: a). | 1 3| | 2 4| b) | 1 0 1| | 2 -1 1| | 1 2 1 | c) [ 2 2i 0] [ 2i -2 2+2i] , where i= (sqrt) of -1 [ 2-2i 0 4] 1 a III Let 4la) =0 1 0 0...
Alpha, Beta, and Gamma form the ABG partnership by transferring the following to the partnership: Alpha $10,000 cash and machinery valued at $20,000 with a basis of $15,000. Beta Land valued at $30,000 with a basis of $35,000. Gamma Cash of $20,000 and services valued at $10,000. 1. Determine the tax consequences of these transfers to Alpha, Beta, and Gamma. 2. Identify each of their bases in their partnership interests. 3. What basis does the partnership have in each of the...
Let X have a gamma distribution with parameters a > 2 and 3 > 0. (a) Prove that the mean of 1/X is B/(a - 1). (b) Prove that the variance of 1/X is 82/[(a - 1)(a 2)].
A uniform distribution has parameters alpha = 0.1 and beta = 0.9. P(0.23 < X < 0.67) = _______________________
3. Change of units. Let X have distribution p(x), and let Y = a + bX, for some a and b. Find the distribution of Y in terms of p(x), and the distribution function of Y in terms of Fx(x), when b>0. What happens if b < 0?
3. Let X and 6 be two random variables. Let X given 0 have a Bernoulli distribution with parameter θ, this is, X | θ ~ Bernoulli (9), and let θ have a beta distribution with parameters a and b, this is 9 Beta(a, b), where a and b are known positive constants (a) Find the joint distribution of (X,6 (b) Find the marginal distribution of X.
ACCT 401- Assignment- Below are the Balance Sheets of Alpha, Beta and Gamma Ltd for the year to 31 December 2007 Beta Gamma Alpha 50 450 Investment in: Beta 153 110 95 Inventory A/R Cash 50 197 180 1330 200 40 170 Total Assets A/P 40 100 Share capital Retained earnings Total liabilities and equity 700 430 1330 200 170 Alpha purchased 75% of the share capital of Beta on 1/1/2006 when Beta's retained earnings were £60 Alpha purchased 80%...
Number 4 turns out to be an inverse gamma function with parameters alpha= n and beta= the sum of x sub i PLEASE ANSWER #5 NOT #4 4. Suppose that X1,X2, 10 pts. the p.d.f. is given by form a random sample from a distribution for which where the unknown parameter θ > 0. Suppose also that the improper prior of θ is m(0) Find the posterior distribution π(θ x). Hint: The inverse gamina distribution from question 6 in Homework...
5.4.6. Let X, ..., X, be a random sample from a gamma distribution with a 2 and unknown s. Construct a 959% confidence interval for p