A random variable X has the distribution function 12 n? F, (x) = E u(x-n) 650 n=1 Find the probability (a) P{-∞ < X <6.5}, (b) P{X > 4} and P{6

Q: (34) Let X be a random variable with p.d.f. 1<x<» k f(x) = { find k. O.w

A: Formula used: fx=x-2k           1&lt;x&lt;∞0                   Otherwise

Q: Use normal approximation to a Binomial Distribution (X) having n=500 trials and p = 0.025 for…

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

A: here given cumulative probability density function

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

A: Solution:It is given that probability that someone is a universal donor​ (with group O and type Rh…

Q: Suppose that X is binomial distribution with parameters (n ,p). then the relationship between P(X =…

A: The probability mass function of X is given by P(X = x) = nCx.px.(1 - p)n - x  , x = 0,1,2,.....,n

Q: 2 A random variable, x, has a normal distribution with mean 4 and standard deviation 0.8. Calculate…

A: Note: According to our guidelones i can solve only 3 subparts of a question please repost other…

Q: A random variable X has pdf fx (x) = e¬* for x 20. Use Chebyshev's inequality to show that P 1X – 11…

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Q: 01: If the random variable (x) has a uniform distribution on the interval [0,6]. Find: a) P(1 < x <…

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Q: A) Suppose that X is a random variable with if 0 < x < 2 fx(x) = otherwise

A: We have to find the var(x)  Using formula  Var(x) = E(x^2) - [E(x)]^2

Q: (1)A random variable is defined as 1/36(2x-1); x= 1,2,3,4,5,6     (a)Construct the Probability…

A: Random variable  X defined  as  fx=1362x-1   x=1,2,3,4,5,6∴fi=PX=xi         x1=1, x2=2,x3=3…

Q: Q5-Let random variable X has the following PDF (3x² 0 < x < 3 f(x) = { 27 %3D 0.W Find the CDF of…

A: We have been the PDF as, f(x)=3x227   0&lt;x&lt;3        0        O.W             The CDF is…

Q: Births are approximately Uniformly distributed between the 52 weeks of the year. They can be said to…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

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

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Q: A random variable X has a normal distribution N(4,9). (1) Find V(X) and E(X²). (2) Let + be the cdf…

A: The normal distribution of the random variable is N(4,9).

Q: probabilty densit function of a random variable is an even function. Note: is an even function if…

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Q: 3 Let X be a random variable with f(x)= 25x53. 4 0 otherwise a) Find and graph F(x). Find the value…

A: The provided function is, fx=34       0≤x≤114       2≤x≤30          otherwise

Q: A continuous random variable has p.d.f. f(x) where { kx 0-x -1 f(x) - k(2-x) 1-x =2 otherwise Find…

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Q: Fact: If X is a compound random variable with X = ₁X₁, ther E(X) = E(X₁) E(N) a. when X are all…

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Q: (a) A structure consists of 100 column footings. Suppose the settlement of each footing is…

A: Given that a structure consists of 100 column footings and the settlement of each footing is…

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

A: The probability that the first subject to be a universal blood donor is the fifth person selected is…

Q: g(X)=x^2+1 λ=5 X ∼ exp(λ) E [g (X) | {X> 3}] conditional expected Calculate the value.

A: Given X~Expλ with λ=5 gX=x2+1

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

A: We want to find probability  X~Geometric(p=0.25) P(4)

Q: Let X₁, , Xn be a random sample from a large population following a uniform distribution over [0,…

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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 :

Q: The probability distribution of the discrete random variable X is: f(X) = k23-x , for x 4,5,6, 7 )…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: R- exp(A) E [g (X) | {X> 3}] ca

A: The value of gx=x2+1. For X~expλ, fxx&gt;3=fxPX&gt;3=λe-λx∫3∞λe-λxdx=λe-λxe-3λ. To determine the…

Q: Let the probability function of the random variable X be f(x) = {  x/45 if x = 1, 2, 3, ⋯ ⋯ ,9…

A: