Suppose that X, has t-distribution with n degrees of freedom. Let Y, = An Find %3D che expected value of Y2 1+ Y? when n = 20. Give your answer in three decimal places. Answer:

Q: Suppose that x has a beta distribution with parameters a = 2.5 and B = 1. Determine to 4 decimal…

A: Given X has a beta distribution having parameters α =2.5 and β=1 So, the distribution of X can be…

Q: If the random variable X has an exponential distribution with rate parameter = 12.21 then, given…

A: We know that, Var(X2)= E(X4)-(E(X2))2 Given that X~exp(12.21) So E(X)=1/lembda 1/12.21 And…

Q: Consider the continuous random variable X = the weight in pounds of a randomly selected newborn baby…

A: Introduction: The empirical rule for a normally distributed random variable is as follows:…

Q: test H0​: μ=40 versus H1​: μ<40​, a random sample of size n=25 is obtained from a population that…

A: H0 : ? =40 H1 : ? &lt;40 Population mean = ? = 40 Sample S.D = s =14.8 Sample size = n =25…

Q: A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in…

A: Given, σ2 =1.23           n =24           s2 =1.27    and α =0.05 Therefore  χCal2 =(n-1) s2σ2…

Q: The PDF of random variable x is given as, [0.3507 Vx, 0<x<3 1,(x) = 0, otherwise Find the, (1) (ii)…

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Q: A researcher is forced to collect data from a smaller sample of individuals to test their research…

A: In this case, we need to fill the blank in the given statement.

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Q: } Let X. .... X, be a sample from a uniform distribution on [0, 0], where 0 e [1, 2] is an unknown…

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Q: We have a t distribution with 13 degrees of freedom. what is the critical value for a one tail area…

A: Given,  degree of freedom =13 alpha =0.050

Q: A sample of size n = 20 is drawn from a normal population. Find the critical value tα/2 needed to…

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Q: The mean and the variance of a sample of size 16 from normal population are 32 and 9, respectively.…

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Q: Suppose a population has an exponential distribution with A = 0.5. We can simulate drawing a sample…

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Q: 2. Suppose X has the normal distribution with parameters u and o2, fin the E(e2X).

A: x follow s normal distribution with mean x and variance sigma sqaure.  By using moment generating…

Q: Q16. An insurer issues a 20-year endowment insurance policy to (40) with a sum insured of 250,000,…

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Q: If X is a continuous random variable, what is the value of X that will be exceeded 30% of the time,…

A: Solution: It is needed to find the value of X.

Q: See image below for question. If you take a simple random sample of size n from a normally…

A: It is given that the sample size is n and the samples are following the normal distribution.

Q: Find the best critical region for testing H : 1 = 2, H:1 = 3 based on the sample drawn from a…

A: Answer: For the given data,

Q: What is the kurtosis for the distribution of scores with a mean of 9.02 and a mode of 3?

A: Given information: Mean = 9.02, Mode = 3 The distribution of right skewed distribution.

Q: Find the best critical region for testing H :1 = 2, 0. H:1 = 3 based on the sample drawn from a…

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Q: If the random variable Xhas an exponential distribution with rate parameter 1 = 11.42 then, given…

A: Given that  Rate parameter λ=11.42 Var(X2) = E(X4) - [E(X2)]2

Q: 3. Suppose that X has a Poisson distribution with h = 80. Find the probability PCX< 70) based on the…

A: Given: X has a Poisson distribution with h = 80.

Q: Suppose a random variable X has the following pdf. 12 (x² - x) 0<x <1 0 < x <1 fx (x)= otherwise The…

A:

Q: 3. Suppose that X has a Poisson distribution with h = 80. Find the probability RCX< 70) based on the…

A: Given that, h= 80  It means that  Mean= 80 which is greater than 10. So normal approximation is…

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A: Given information: Given that the independent random variables X1, X2, … , Xn are uniformly…

Q: If Y1, Y2, ...,Yn denote a random sample from the normal distribution with mean u and variance o2,…

A: Y1, Y2, Y3,....,Ynare the sample of the normal distribution. The mean of the data is μ. The standard…

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Q: In a survey of 180 females who recently completed high​ school, 75​% were enrolled in college. In a…

A: Given  n1=180 , p1=75% n2=160 , p2=70%

Q: What does it imply if if more values are concentrated above the mean? (Skewness) And would the value…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Find the critical value xổ.05 for a chi-square distribution with 10 degrees of freedom.

A: Given data, df=10 alpha=0.05 =?

Q: A Gamma random variable with expected value n and variance equal 2n, where n is a natural number,…

A: The parameters are estimated as follows: EX=αβ=nVX=αβ2=2nβ=VXEX=2nn=2α=n2

Q: Suppose that X has a Poisson distribution with h = 80. Find the probability P (X<70) based on the…

A: As per our guidelines, we are allowed to answer first question only. Thanks   1) X has Poisson…

Q: If X is a continuous random variable, what is the value of X that will be exceeded 30% of the time,…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: Given that the moment-generating function for the chi-square random variable is derived by m(t) =…

A: see the handwritten solution

Q: If the alpha level changed from a=0.05 to a=0.01, what happens to the critical region and ehat…

A: Introduction: In a hypothesis testing problem, a Type I error occurs when the test rejects the null…

Q: If X is a continuous random variable, what is the value of X that will be exceeded 20% of the time,…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: I want my estimate to be accurate, I want the error of pN to be small. How many people should I poll…

A: Given that - Suppose you want to find out how many people support Policy X. A standard polling…

Q: Suppose X₁, Xn from a normal distribution N(u, o2) where both u and o are unknown. We wish to test…

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Q: Suppose that x has a beta distribution with parameters a = 2.8 and B = 1. Determine to 4 decimal…

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Q: If I want my estimate to be accurate, I want the error of pn to be small. How many people should I…

A: Given information: N = Total number of people polled N. p^N=Number of people polled who supported…

Q: 3. Suppose that X has a Poisson distribution with h= 80. Find the probability PCX< 70) based on the…

A: Here use normal approximation with continuity correction factor

Q: 2. Suppose the PMF of the random variable X is px(x) =p(1-p)*(0,1...(x) where p is a constant…

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Q: 3. Suppose that X has a Poisson distribution with h = 80. Find the probability P(X< 70) based on the…

A: Here when we use normal approximation we add 0.5 as continuity correction factor in X

Q: When the phase-neutral voltage value of the consumers fed from a transformer is measured from the…

A: Correct answer is (C)

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Q: A technician discovered that umulative distribution function (CDF) of the lifespan of years is given…

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Q: A random sample was selected from a population having a normal distribution. Calculate a 90%…

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Q: he generalised three-parameter beta distribution with pdf 121?x (1 – x) 0 <x [1- (1 – 2) x]** fx (x)…

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