Suppose that X ∼ N(-1.9,2.9), Y ∼ N(3.0,1.7), and Z ∼ N(0.5, 0.6) are independent random variables.
Find the probability that |2.0X + 3Y + 4Z| ≤ 10.1.
Round your answer to the nearest thousandth.
Suppose that X ∼ N(-1.9,2.9), Y ∼ N(3.0,1.7), and Z ∼ N(0.5, 0.6) are independent random...
5)Suppose that X ∼ N(-1.9,2.7), Y ∼ N(3.5,1.4), and Z ∼ N(1.2, 1.0) are independent random variables. Find the probability that 2.2X + 3Y + 4Z ≥ 8.8. Round your answer to the nearest thousandth. 6) Suppose that X ∼ N(-2.0,2.6), Y ∼ N(3.0,2.0), and Z ∼ N(1.7, 0.5) are independent random variables. Find the probability that |3.1X + 3Y + 4Z| ≥ 8.0. Round your answer to the nearest thousandth.
Suppose that X ∼ N(-2.3,3.3), Y ∼ N(3.2,2.1), and Z ∼ N(0.9, 0.3) are independent random variables. Find the probability that |5.3X + 3Y + 4Z| ≥ 9.3. Round your answer to the nearest thousandth.
Suppose that X ∼ N(-1.4,3.1), Y ∼ N(2.9,1.7), and Z ∼ N(1.1, 0.4) are independent random variables. Find the probability that 4.8X + 3Y + 4Z ≥ 9.6. Round your answer to the nearest thousandth.
5)Suppose that X ∼ U(-5, 10). Find the P(-2 ≤ X ≤ 5) Round your answer to the nearest thousandth. 6) Suppose that X ∼ N(-1.5,2.6), Y ∼ N(2.7,1.4), and Z ∼ N(1.4, 0.9) are independent random variables. Find the probability that |2.4X + 3Y + 4Z| ≥ 10.7. Round your answer to the nearest thousandth.
1) Suppose that X ∼ N(0,1) find: P(X<=1.36) Round your answer to the nearest thousandth. 2) Suppose that X ∼ N(0,1) find: P(|X-0.9|>=1.35) Round your answer to the nearest thousandth. 3)Suppose that X ∼ B(8, 0.25). Calculate p(X=1) Round your answer to the nearest thousandth. 4) Suppose that X ∼ B(10, 0.23). Calculate P(X ≥ 7) Round your answer to the nearest thousandth. 5)Suppose that X ∼ U(-5, 10). Find the P(-2 ≤ X ≤ 5) Round your answer to...
1)The breaking strengths of nylon fibers in dynes are normally distributed with a mean of 12058 and a variance of 200043. What is the probability that a fiber strength is less than 12550? Round your answers to the nearest thousandth. 2) The breaking strengths of nylon fibers in dynes are normally distributed with a mean of 12313 and a variance of 200610. What is the probability that a fiber strength is between12453 and 13977? Round your answers to the nearest...
4 Suppose that W, X, Y, Z are independent random variables, each with probability density function f(t) -4t3,0st s 1. Find. (b) fw.x.y.z(w, x, y, z) (c) Fxy (x,y)
10) (11) Let X and Y be 2 independent random variables. Suppose X ~ Gamma(0, 38) and Y ~ Gamma(a, 2B). Let 2 = 2X +3Y. Determine the probability distribution of Z. (Hint: use the method of moment-generating functions
Suppose X, Y and Z are three different random variables. Let X obey Bernoulli Distribution. The probability distribution function is p(x) = Let Y obeys the standard Normal (Gaussian) distribution, which can be written as Y ∼ N(0, 1). X and Y are independent. Meanwhile, let Z = XY . (a) What is the Expectation (mean value) of X? (b) Are Y and Z independent? (Just clarify, do not need to prove) (c) Show that Z is also a standard...
1 Expectation, Co-variance and Independence [25pts] Suppose X, Y and Z are three different random variables. Let X obeys Bernouli Distribution. The probability disbribution function is 0.5 x=1 0.5 x=-1 Let Y obeys the standard Normal (Gaussian) distribution, which can be written as Y are independent. Meanwhile, let Z = XY. N(0,1). X and Y (a) What is the Expectation (mean value) of X? 3pts (b) Are Y and Z independent? (Just clarify, do not need to prove) [2pts c)...