Corollary 1. Let X be a random variable with mean u and variance o?. Then for any k > 0 or any e > 0 P [|X – H 2 ko] < P [|X - µ| 2 €] <

Q: Denote the sample as X1,...,Xn is exponentially distributed Show the distribution of X-u in deitels

A: Given  Sample asx1 , x2 , ....... , xn is exponentially distributed

Q: The random variable X is exponentially distributed, where X represents the waiting time to see a…

A: The random variable X, which reflects the time it takes to see a shooting star during a meteor…

Q: X is the number of successes in 10 independent Bernoulli trials. The variance of X is equal to 1/4…

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Q: mean m = E(X), variance o = var(X), and standard deviation o = 0x of each distribution: %3D 2 3 11 1…

A: We know that  E(x)= ∑x×p(x)E(x2 )=∑x2 ×p(x)Var(x)=E(x2 ) - [E(x)]2

Q: A random sample of size n1 = 14 is selected from a normal population with a mean of 76 and a…

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Q: Suppose that X has an exponential distribution with a mean of 35. What is P(X<7) ?

A: Given that, The provided mean is β = 35

Q: Use R to illustrate the WLLN (weak law of large numbers): draw a random sample from the exponential,…

A: WLLN:  WLLN says that as we increased the sample size of the sample collected from specified…

Q: . Find the standard deviation. (Enter an exact number as an integer, fraction, or decimal.) x P(x)…

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Q: The p.d.f. of a random variable X is f(x)=2x for 0<x <1

A: From the provided information, The probability density function of a random variable X is as follow:…

Q: Find the value of P(X=1),for a binomial distribution where mean is equal to 3 having 6 trails.

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Q: Let X, X2, .., Xm, be a random sample of size n = 2m + 1 from exponential distribution with…

A: Let X1, X2, ..., Xn be a random sample of size n=2m+1 from exponential distribution with parameter…

Q: Let X-G(6,0.3) Find the variance of the gamma distribution.

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Q: Compute the mean (ux) variance (a³x) and standard deviation (ax) of each sampling distribution. 1.…

A: As per our company guidelines we are suppose to answer only one question1)Given data is  x 1 2 3…

Q: O Between a binomial distribution with n = 5 and p == and a distribution with frequency function…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, we have…

Q: Q. 44 If f(x)=ce (1²-61+9)/32 ,-0<x<∞ repre- sents a normal distribution, find the value of c, the…

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Q: The lifetime of a machine part has a continuous distribution: Osxs 40 fx(x) = { (10 + x)² else a.…

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Q: Suppose X is a positive random variable (i.e. P(X ≤ 0) = 0), such that P(X>10) ≥ 0.5. a. What is the…

A: If X is a random variable with finite mean E(X) and "a" is any positive number, then the Markov…

Q: The mean and variance of binomial distribution are 4 & 4/3 respectively. Calculate the modal value…

A: To calculate the modal value :

Q: The probability distribution of X, the number of imperfections for every 10 meters of a synthetic…

A: Solution-: Let, X-The number of imperfections for every 10 meters of a synthetic fabric  We have…

Q: A random variable X is normally distributed with unknown mean u and variance o². If P(X > 9.5) =…

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Q: A particle moves along the following graph: 0 1 2 so that o o If the particle is at 0, it will next…

A: Given that a particle moves along the following graph: If the particle is at 0, it will next move to…

Q: The Determine the cumulative distribution function for the distribution. answer please thank you.

A: Cumulative density function is used to determine the sum of the probability value. Probability…

Q: Find the standard deviation. P(x) | x*P(x) (x - )²P(x) 2 0.1 2(0.1) = 0.2 | (2 – 5.4)²(0.1) = 1.156…

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Q: The geometric distribution gives the probability that the first success occurs at the xth trial with…

A: The probability mass function of geometric distribution is, P(X=x) = p × qx      ; x = 0,1,2, ---;…

Q: let Y=5X+10 and X be normally distributed with a mean 10 and varience 25. find P(Y<54).

A: Given: Y=5X+10 Mean = 10 Variance = 25

Q: To estimate E[Xx], you have simulated X,, X,, X,, X, and X, with the following results: 1 2 3 4 You…

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Q: a) The Project Manager found that distribution of the amount of gravel (in tons) sold by a…

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Q: Find P(11<X<15) If X is normally distributed with a mean of 14 and a standard deviation of 2?

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Q: Suppose that X1, X2 are iid, and X1 ~ Exp(2). Find the distribution of X(1) = min{X1, X2}

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Q: ) is define as the “number distribution function” , where dp is the particle diameter. Assume nN(dp)…

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Q: Which of the following statement is INCORRECT? If Y follows the standard normal distribution and Y,…

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Q: Example 9-4. X is a normal variate with mean 30 and S.D. 5. Find the probabilities (i) 26 5.

A: We have given that.   X~N( μ , ?^2 )   μ =30 , ? =5   Z-score =( x - μ )/?

Q: Consider the distribution of a discrete variable Y whose cumulative distribution function is given…

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