. Let Y be a continuous random variable where f(y) F(y)? (a) Y 18 Y 15 Y-3 18 y+3 (b) (c) (d) 18 (e) None of the above 1 18 -3 ≤ y ≤ 15. What is

Q: dp dq 2 if p = In(q7 + 7). Find dp dq ||

A: Simply use the chain rule of derivative and simplify.

Q: Problem 2. Let X1,..., X, be any n random variables such that |Cov(X;, X;)| < 0, i, j 1,..., n. Let…

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Q: 3. let f(x) and F(x) denote respectively the p.d.f and the distribution function of the random…

A: f(x) and F(x) are pdf and cdf of the random variable X respectively.Conditional p.d.f of X is Where,…

Q: c) Suppose that X and Y are jointly continuous random variable - x f(x,y) = {o* for 0< x <1 and 1< y…

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Q: 4. What is the probability distribution if X ~ B(3,0.82)? О Р(Х — 0) — 0.55 P(X = 1) = 0.36 Р(X — 2)…

A: The p.m.f of the binomial distribution is as follows: Here, n=number of trials p=probability of…

Q: Q2. Two events A and B are said to be dependent if and only if:

A: Here use basic of dependent events

Q: Consider the continuous random variables x and y, whose distributions p(x) and q(y) are plotted…

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Q: A relatively rare disease D occurs with P(D) = 0.002. There exists a diagnostic test such that:…

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Q: Suppose X and Y are jointly continuous random variables, the conditional expectation of v(y), given…

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Q: -. Determine the constant c so that f(x)=cx, x=1, 2, 3,...,10 satisfies the conditions of being a p.…

A: The given probability distribution can be desctibed as X 1 2 3 4 5 6 7 8 9 10 f(x) c 2c 3c 4c…

Q: 0 Find the marginal probability distributions of X and Y. otherwise a) b) Show that the two random…

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Q: A relatively rare disease D occurs with P(D) = 0.001. There exists a diagnostic test such that: ●…

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Q: [S (x - 2y + z) ds. S: z = 6 x, 0≤x≤ 6, 0≤ y ≤ 5 Evaluate

A: