+ 22) (that is to say ,1-3, ơ-2) distributed. 4. Let X be .V( 3. a./...
Let a random variable X be uniformly distributed between −1 and 2. Let another random variable Y be normally distributed with mean −8 and standard deviation 3. Also, let V = 22+X and W = 13+X −2Y . (a) Is X discrete or continuous? Draw and explain. (b) Is Y discrete or continuous? Draw and explain. (c) Find the following probabilities. (i) The probability that X is less than 2. (ii) P(X > 0) (iii) P(Y > −11) (iv) P...
1 point) Suppose X is a normally distributed random variable with H9 and ơ 1.3. Find each of the following probabilities: (a) P(12 < X < 15) (b) P(6.1 K X K 16.7)- (c) P(11.1 K X K 16.7)- (d) P(X 2 11.5)- (e) P(X s 16.7)-
Che 7 Let X be normally distributed with mean 29 and standard deviation ơ 14. [You may find it useful to reference the ztable a. Find PXs . (Round "z value to 2 decimal places and final answer to 4 decimal places.) 10 Print References b. Find RX> 15)·(Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P8 s Xs 22) (Round " value to 2 decimal places and final answer to 4...
Let M be a ơ-algebra of subsets of X and P the set of finite measures on M. Prove that (a) d(μ, v) = supAEM |μ( A)-v(A)| defines a metric on P (b) (P, d) is complete.
Let M be a ơ-algebra of subsets of X and P the set of finite measures on M. Prove that (a) d(μ, v) = supAEM |μ( A)-v(A)| defines a metric on P (b) (P, d) is complete.
Let X be normally distributed with mean μ = 22 and standard deviation σ = 16. [You may find it useful to reference the z table.] a. Find P(X ≤ 2). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(X > 6). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P(2 ≤ X ≤ 26). (Round "z" value to 2 decimal places and final...
x is distributed normally, with -400, and ơ.90. Figure 1 Figure 2 400 400 Fisure 3 Figure 4 400 400 Which of the previous figures have an area B which could correspond to an upper tail probability of 0.4 . Ignore which area is shaded when you make your decision Select all answers that apply O Figure 1 O Figure 3 Figure 4 Figure 2
Let v = (-1, 2, 2) and = [1,-1, 1] Find dü x 7) [3, 4, 1] O [4, 3, -1] O [3, 4, -1] O [-1,3,4]
Let X,Y be uniformly distributed in the rectangle defined by −3
< x−y < 3, 1 < x + y < 5. Find the marginal density
fX(x) and E(Y|X).In the same situation find Cov(X,Y ).
(3) Let X, Y be uniformly distributed in the rectangle defined by -3 < x-y<3, Find the marginal density fx(x) and E(Y|X). In the same situation find Cov(X, Y). 1<x+y<5.
1 3. Let f(x) = 22(2-2)(2 - 4) and C a circle of radius 2k - 1 about the origin with counterclockwise orientation. (1) Find (2) Find 50, 5(=dz. Je_1(a) dz. 5. 1(a) dz. (3) Find
Let X be exponentially distributed with parameter 3. a) Compute P(X > 6 | X > 2). b) Compute E(7e-12x+8+ 5). c) Let Y be independent from X. Suppose the PDF for Y is f(x) = 2x for 0 ≤ x ≤ 1 (and 0 else). Find the PDF of X + Y.