Q4 The time it takes to repair a personal computer is a random variable whose density, in hours, is given by 0 < x < 2 f (x) = otherwise The cost of the repair depends on the time it takes and is equal to 40 + 30x when the time is x. Compute the expected cost to repair a personal computer.

Q: Let the random variable X have the pdf f(x) = e-ª for 0 < x < ∞, and 0 elsewhere. Compute the…

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Q: Q3. Suppose that X, i = 1,2, . ,n have an Exponential distribution with parameter 1. a) Find maximum…

A: Solution : Let  X1,X2,X3,..................Xn follow exponential distribution . Probability density…

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Q: 3 4 Let X be a random variable with f(x)= 8. 23x53. 4 %3D 0 otherwise a) Find and graph F(x). af s…

A: Fx is given by Fx=∫-∞xfxdx. So graphing Fx:

Q: HW 5 Consider the distribution of Binomial, Poisson, Exponential, Gamma, and let T = X + 4 & T2 = (X…

A: Solution : Given : T1 = X + 4 T2 = X - 1 Biased Estimator : Let x1, x2, ..., xn be a random sample…

Q: The midterm exam scores (X) and final exam scores (Y ) for a sample of students are related by the…

A: Given  E(X)=15, sd(x)=5, E(y)=35, sd(y)= 2 Y=aX+b  We want to find the value of  a and C

Q: 3. The lifetime in hours of an electronic gadget is a random variable having a probability density…

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Q: The time for the first widget to be manufactured each morning is random between 1 and 3 seconds with…

A: Given density function: fx=1162x-32x+6, 0&lt;x&lt;6 Cumulative distribution function, F(X):…

Q: For a certain insured, the distribution of aggregate claims is binomial with parameters m = 12 and q…

A: If X ~ B(n, p), then X has Binomial Distribution with parameters n and p, Then, E(X) = np

Q: (8) Find the variance of X when X is distributed as N(0, 1). The correct answer is -1 1 -2 N/A…

A: Given that that X~N(0,1).

Q: E and F are independent variables with variances of 7 and 9, respectively. Given this, Var(2E - F +…

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Q: Q3:Let X be a random variable having Bernoulli distribution with pdf f(x) = p*(1 – p)-x=0,1 zero…

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Q: In an experiment, John has found that the low bid on a construction job can be regarded as a random…

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Q: a) What is the marginal distribution of Z2. b) Find P(Z2 <4)

A: here given ,  joint distribution of z1 and z2

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A: Here given CDF  F(x)= 1-e-0.01x, x≥0

Q: The time it takes to repair a personal computer is a random variable whose density, in hours, is…

A: Let X be a continuous random variable with probability density function fx. The expected value of…

Q: Let X be a standard normal random variable (expectation is equal to zero, variance is equal to one).…

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Q: The time, X, to infection for Eagle Flu in minutes, after coming into contact with the virus has…

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Q: One thousand tickets are sold at $3 each for a color T.V. valued at $350. What is the expected value…

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Q: Find the mean, variance and the coefficients B1, B2 of the distribution : dF = kx²e* dx = 1,0 < x…

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Q: A random variable X has the density funetion: fx(x) = (2 – x) 1<x<2 otherwise If the mean of X is…

A: Given that  Let X represent the random variable having the density function as given  The mean of X…

Q: An insurer's annual fire losses, X is a random variable with density 2e-2z a > 0 otherwise f(x) =…

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Q: Scores derived from a patient satisfaction survey are Normally distributed with μ = 50 and σ = 7.5,…

A: Denote μ as the average satisfaction scores of all patients.

Q: a) Find R(t) and determine the probability of a component falling within the first month of its…

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Q: i) Find the marginal distribution of X₁. ii) Find E(X₁X₂).

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Q: SohnCo has a division that manufactures steel for construction uses. Recently, they have had some…

A: Given: The most probable strength of steel was given by 24y-0.05   at y=0 and ϑ=24 Now,…

Q: Show that for ν &gt; 2 the variance of the t distributionwith ν degrees of freedom is νν − 2 .…

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Q: Q4-Find the distribution function associated with f(x) = , for 0 < x < 1 or 2 < x < 4, and zero…

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Q: The proportion of people who relapse at twelve months posttreatment for heroin addiction is 0.75.is…

A: From the provided information, Population proportion (p) = 0.75 Sample size (n) = 50 Confidence…

Q: The diameter of a bolt (in mm) is a random variable with probability density function: [6(x – 12)(13…

A: given pdf of random variable x (diameter of bolt in mm)  f(x)=6(x-12)(13-x)      12&lt;x&lt;13  then…

Q: Q4/ consider a random variable X with density function (4 + x) 0.5 <x < 1.5 f(x) = elsewhere Find…

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Q: Q4/ consider a random variable X with density function (4 + x) 2 0.5 < x < 1.5 f (x) = elsewhere…

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Q: The wait T in hours between every phonecall a person recives is random given the densityfunction…

A: Given,f(t)=1.8 e-1.8t     for t≥0A random variable X~exponential (θ=1.8)

Q: McNeese is determining the staffing level for their credit union located within the university, and…

A: Please find the explanation below.  This is M/M/S queue model Arrival rate is 6 per hour Service…

Q: The time, X, to infection for Eagle Flu in minutes, after coming into contact with the virus has…

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Q: Find MAD for a continuous random variable with the given p.d.f. How does it compare with the…

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Q: 4. Let X1, X2, ..., X, be a random sample from a normal distribution with known mean H, unknown…

A: # Given: random variable x follow normal distribution with mean mu and variance sigma^2  To find mle…

Q: Suppose X 1s a discrete variable that has the following pr function (pdf) f(X) 1 0.40 2 0.20 3 0.15…

A: Solution: Let X be the discrete random variable  The probability density function of X is  x f(x)…

Q: et X be the number of litres of milk shake that is requested at a café on a hot summer day. Assume…

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Q: The proportion of adults living in a small town who are college graduates is estimated to be p =…

A: a) From the given information, The fail to reject zone is 8≤x≤10. Rejected zone is X&lt;8 or…

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Q: With an American penny, the likelihood of getting H when it is spun on edge is 0.3. If X is the…

A: From the given information, The likelihood of getting H when it is spun on edge is 0.3. If X is a…

Q: The proportion of adults living in a small town who are college graduates is estimated to be p =…

A: a) From the given information, The fail to reject zone is 8≤x≤10. Rejected zone is X&lt;8 or…

Q: A random variable T(x) has a distribution function that 0 <t< 100 – x defined by Fr(2) (t) = {100-x'…

A: From the given information, FTxt=t100-x, 0≤t≤100-x1               t≥100-x Consider, the density…