F(x)=0.25x+0.5 x < -2 -2≤x<2 25x Determine the probability that the random variable X is greater than -1.

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A: Given, X and Y are two random variables ,Where ,Mean of X , E(X) = 12 Standard  deviation of X ,…

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Q: (1 point) Find the expected value for the random variable: X 3 P(X) 0.28 0.14 0.11 0.47 E(X) = %3D

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Q: which of the following gives the probability that the random variable X > 2?

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Q: Q3: let x be random variable with Beta distribution, find the V(x)?

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Q: Q2/ Let X be a random variable with normal distribution N(0,4) and Y=(X+2)² find:- 1- P(Y > 1) 2-…

A: Given Information: Let X be a random variable such that X~Nμ=0,σ2=4 and Y=X+22.

Q: Variance of a uniform probability distribution is Var(X)=(a-b)^ 2 /12 where b>a True False

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Q: Suppose that f (x) = e-* for 0 < x Determine the mean and variance of the random variable.

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Q: 24. Random variable X follows right-skewed distribution with the expected value E(X) = 5. What is…

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Q: What is Gaussian? What is mean and covariance in Gaussian ?

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Q: explain step how would you find the expectation value of a continuous random variable X?

A: A continuous random variable X takes any admissible value within a possible range of values.

Q: The probability distribution of the random variable X is represented by the P(3 ≤X ≤ 5). function…

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Q: 3 The random variable X ~ B(40, 0.4). Find: b P(X> 16) a P(X< 20) e P(11<X< 15) d P(10<X<17)

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Q: X is a random variable follows a Poisson distribution with a mean of 5 Find the probability p(x =…

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Q: distribution is For 1≤x≤3 Suppose, that a certain probability given by P(x) = (*) 4 Find the…

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Q: Let X be a continuous random variable. Then which of the following statements are true: P(-∞ 3).…

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Q: 1- P(Y > 1) 2- P(X>2 Y < -1) 3- P (3<X<7)

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Q: car begins to pass that point. What is the probability that headway time is at most 5seconds given…

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Q: A random variable X can take only the values 2, -2, and 4. It is known that Pr[X = 2] = 0.3 and Pr[X…

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Q: The discrete random variable X has probability distribution given by X₂ 1 2 3 P 0.7 2k k (1) Find…

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Q: Q2/ Let X be a random variable with normal distribution N(0,4) and Y=(X+2)² find:- 1- P(Y > 1) 2-…

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Q: Let the probability distribution of random variable X be P(X= k) k! , k = 0, 1, 2, I then EX2 - ()

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Q: Suppose, you are given a straight-line equation, 3x+2y=6 where x and y both of them are integer…

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Q: If x is uniformally distributed with [100 , 150] the find the probability more than 120.

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Q: The frequency distribution of a continuous random variable is given by x, 0≤x≤2 g(x)= -x, 2≤x≤4 Find…

A: The given frequency distribution of a continuous random variable is g(x)=x0≤x≤24-x2≤x≤4

Q: If X is a random variable with any continuous distribution, explain why P(X<x)=P(X≤ x)

A: The concept of probability is an essential tool in many fields, including statistics, economics, and…