Find the variance and standard deviation of the probability distribution of a random variable X which can take only the values 2, 4, 5, and 9, given that 9. P(2) = P(4) = 3. 3 P(5) == and P(3) = %3D %3D 10

Q: Assume that X and Y are two random independent random variables with mean 2 and 3 and variance 2 and…

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Q: Q4: The probability mass function of a discrete random variable X is given by the following table: X…

A: Given that  Probability mass function of X  X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36…

Q: 5. X is a normally distributed random variable with unknown µ and an unknown variance, o². X and s²…

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Q: A fair die is tossed twice. The random variables X and Y are the outcomes of the first and second…

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Q: 0. x < 2 1 25x <3 15 3<x < 4 (b) F(x) = 6. %3D 4sx<5 15 , 55x<6 1 , x26 15 2/3

A: We have given that a random variable X has a pdf given by S(x) = (x-1)/k ,   x= 2,3,4,5,6 and k is…

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Q: the probability mass function of a discrete random variable X representing the number of bicycles…

A: Formula : Variance = E(X^2) - [E(X)]^2

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Q: 3) Let x be a binomial random variable with n= 20 and p = HI / 100. a. Calculate P (x = 4) using the…

A: X follows Binomial distribution then the probability mass function of X is  PX=x=nx px 1-pn-x,  x=0,…

Q: Calculate the variance of the following probability distribution: -3 -2 -1 1 3 f(x) 0.17 0.14 0.11…

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Q: q-1The random variable x is known to be uniformly distributed between 0.5 and 2.5. What is the…

A: It is given that X follows Uniform(a = 0.5 and b = 2.5)

Q: Suppose again that Y is a normally distributed random variable with mu = 10 and sigma = 2. The…

A: Given Data Population Mean,μ = 10.0 Population Standard Deviation,σ = 2.0

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A: Given that  E(X) = 6 , V(X) = 3 Let Y be the random variablecounting the number of times the number…

Q: Let X be a geometric distribution function with px(n) = p(1 - p)n-¹. Find the expected value and the…

A: P(X=x)=p(1−p)x−1;x=1,2,3,...

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Q: X1 + X1 + ...+Xn Find the characteristic function of the random variable Y =-

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Q: Let X be a binomial random variable with n=7 and p=0.1, then The variance of X is 0.63 P(X>1)=…

A: Given: n=7 and p=0.1 Then, the variance isVariance=np1-p=70.11-0.1=70.10.9=0.63

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Q: continuous random variables Z is known to have an Erlang (2,1.3) type PDF. what is the variance of Z

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Q: For the discrete probability distribution. 1 3 4 5 7 f k 2k 2k 3k k² 2k² 7k² + k Find the variance.

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Q: The discrete random variable X has the probability distribution given by: 2 4 6 8 P(X= x) 0.15 0.15…

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Q: 10. Consider the random variable X whose probability distribution is given below: X Pr(X = x) 1 2 2k…

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Q: Let X be a random variable with p.d.f f(x): mode. x = 1,2,3, ... .Find the O 2,4 O 1.3 O 1,2 2,3

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Q: Q4: The probability mass function of a discrete random variable X is given by the following table: X…

A: Given: The probability mass function of a discrete random variable X is: X P(X) 1 136 2 336…

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Q: I need help with this. is my answer correct?

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Q: 4. Find the mean of the probability distribution of the random variable X, which 10 P(2) = 33 and…

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Q: Q4: The probability mass function of a discrete random variable X is given by the following table: X…

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Q: Suppose that the PDF for the number of years it takes to earn a Bachelor of Science (B.S.) degree is…

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Q: 5/1/24, 11:52 PM A L Solve the problem. 17) The accompanying table shows the probability…

A: xP(x)x*P(x)x2*P(x)10.10.10.120.220.440.8830.160.481.4440.10.41.650.170.854.2560.251.59…