Question 9 Suppose the commulative distribution function of the random variable X is given by 0. if x< -2 (x+2) if-23*<0 F(x) = 1>*50 A (1+*) if x21 Determine p(x< -1) OA. 0.75 O B. 0.375 OC.0.625 O D. 0.25

Q: 1. * 1. E(x) = 4ß and Var(x) = 43² True O False 2. * 2. x~N (4B, 41²) 25 True False

A: The provided information is  α=4 ß&gt;0 The distribution is Gamma distribution  X~G(α,ß)The…

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A: here given cumulative probability density function

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A: Reviewing information, X is a r.v. with pdf, f(x)=k·e-2x                                   ;…

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A: Solution-: Given: Suppose a die is tossed 1500 times and a 3 comes up 601 times. We want to find the…

Q: 1. E(x) = 4ß and Var(x) = 4/

A: 1) It is to be known that the, if X follows Gamma distribution with parameters a and b, then its…

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

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Q: int) If x is a binomial random variable, compute P(x) for each of the following cases: (a) P(x 2),…

A: According our policy we can answer only first three subpart for remaining please repost the…

Q: If a procedure meets all of the conditions of a binomial distribution except the number of trials is…

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Q: 1-4x 10) If a random variable assumes 4 values with probability 1+3x 1-x 1+2x and ¹-4 4 4 4 the…

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Q: (2) Let X be a random variable with p.d.f. 1<x<10 f(x) = then o.w 3 (a) k=2 (b) k=8 (c) k = (d) k=3…

A: Solution: 2. From the given information, the probability density function of X is

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Q: If a procedure meets all of the conditions of a binomial distribution except the number of trials is…

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Q: If the random variable X is binomially distributed with p-0.75 and o-0.7125, then P(X=1) is

A: The provided information are: Meanμ=0.75Varianceσ2=0.7125

Q: 14- If the p. d. f of a random variable X is f(x) = 2,0 ≤ x ≤ 2, then P(X> 1.5|X > 1) is (a) 0.5833…

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Q: 2) Required probability is given by 99 P(X 2 100) = 1 - (C")-0.01°- 0.99-3 = 1 - 0.0092427 0.990757…

A: Here the given probability calculation is given :

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Q: Random Variable X counts the number of students who passed a test in a class of 50 students Match…

A: 1. p = 122. q = 123. n = 50

Q: (2) Let X be a random variable with p.d.f (3x² +6x) [>x>0 S(x) =- , then p(x < 1) is O.W (a) 1 (b) 2…

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Q: 15. A random variable X has a mean ? = 10 and a variance ? 2 = 4. Using Chebychev’s inequality,…

A: Given problem Given that   A random variable X has a Mean, μ = 10 and Variance , σ2= 4.

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A: Detailed solutions are given below.Explanation:X1 = 1,2,3,4,5 and X2 = 1,2,3,4,5,61) To find P(X1 =…