4.2 The probability distribution of the discrete ran- dom variable X is 3-a f(x) = , r = 0, 1, 2, 3. Find the mean of X.

Q: Suppose x has a distribution with μ = 15 and σ = 13. (a) If a random sample of size n = 48 is…

A:

Q: the mean is u=15.2 and the standard deviation is o=0.9. find the probability tha X is between 14.3…

A: we have to find the probability tha X is between 14.3 and 16.1

Q: Suppose an x distribution has mean μ = 2. Consider two corresponding  x  distributions, the first…

A:

Q: Suppose that at a gas station the daily demand for regular gasoline is normally distributed with a…

A: Consider that Xi is defined as daily demand for regular gasoline is normally distributed. Thus,…

Q: If X1, X2, ., Xn is a xrandom sample from a N(H, o) population, write the distribution of (x1-µ)/o)?

A: We e have given that If X1 , X2, X3 ......Xn is a random sample from N(mu, sigma) population then…

Q: A doctor wants to research if there is any difference in the birth weights of a mother's first child…

A: Given information- Sample size, n = 10 Significance level, α = 0.10 We have to test the claim that…

Q: 3.139 In the daily production of a certain kind of rope, the number of defects per foot Y is assumed…

A: Here are some properties of expectation of a random variable. We will make use of these properties…

Q: Find the mean and standard deviation for the number of girls in groups of 14 births when p = 0.5* O…

A: Given that ,  n=14  and p= 0.5  i.e. q=1-p = 1-0.5 = 0.5 We have to find mean and standard deviation…

Q: b) A random sample of size n, = 25 is selected from a normal population with a mean of 95 and a…

A: We have to find out given probability..

Q: 5.5 Let X1,.., Xn be iid with pdf fx(r), and let X denote the sample mean. Show that .... fx (1) =…

A: Probability : Probability is a field of mathematics that deals with numerical descriptions of how…

Q: Suppose that at a gas station the daily demand for regular gasoline is normally distributed with a…

A: Let us define the random variable , X first. Let X be the demand for gas. Here it is given that the…

Q: If X is a binomially distributed radom variable with E(X) var (X) 4/3; find the distribution of X. 2…

A:

Q: Suppose that X has a Poisson distribution with a mean of 4. Determine the following probabilities…

A: GivenMean of 4λ=4x~Poisson(λ=4)P(X=x)=e-λ×λxx!  ; x≥0

Q: para- If the time T to failure of a component follows a Weibull distribution with imeters a and B,…

A:

Q: 1) Find the Mean and Variance for the following function [1 -x, 0sxs1 1 (10 – x), 1sxs 10 45 f(x) =…

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Q: b) A random sample of size n,= 25 is selected from a normal population with a mean of 95 and a…

A:

Q: Suppose the mean and standard deviation of the GPAs at Loyola are  Xbar = 1.833; and s = 0.044…

A:

Q: 8) Assume that x has a normal distribution with the specified mean and standard deviation. Find the…

A: Given X is normal Distributed with mean µ = 4.0 and standard deviation σ = 2.0 now will using…

Q: Find the z- score that has 74.5% of the distribution's are to its right

A:

Q: The random variables X,Y and Z are independent and have an identical distribution that is uniform…

A: Given: The random variable X,Y and Z are independent and have an identical distribution that is…

Q: 5

A: Consider the two normal random variables X and Y are independently and identically distributed.

Q: Suppose that the heights of adult females is normally distibuted with population mean equal to 168cm…

A: We have given that.    X~N( μ , ?^2 )    μ =168     , ? = 6   Z-score =( x - μ )/?

Q: Suppose an x distribution has mean μ = 3. Consider two corresponding  x  distributions, the first…

A: Given that, μ = 3.

Q: If for a Poisson distribution 2P(X=0)+P(X=2)=2P(X=1), what is the mean of the distribution:

A: From the provided information, 2P(X=0) + P (X=2) = 2 P(X=1) Here X is a random variable follows…

Q: TABLE 3: Number of packs with X number of RED candy x (Red Candy) 7 8 9 10 11 Total f (Pack)…

A: From the given information, x f probability 7 3 3/15=0.2 8 5 5/15=0.333333 9 3 3/15=0.2…

Q: 2. Suppose that X has a hypergeometric distribution with N= 2,000, K = 800, and n= 200. Find the…

A: Hyper geometric distribution : The hypergeometric distribution may be a separate likelihood…

Q: Suppose X is normally distributed with mean u and standard deviation o. a. What is the probability…

A: We have given that  X~Normal(mu,sigma) Mean=mu  Standard deviation=sigma Note: According to Bartleby…

Q: 31) The probability that a Poisson variate X takes a positive value is 1 - e-1.5. Find the variance…

A: Given:X variable follows poisson distribution.Find:Varaince and Probability that lies between -1.5…

Q: 3. If X has a Poisson distribution and if P(X = 0)3D0.25, find P(X > 4).

A: Here, P(X=0) =0.25 That is, PX=0=0.25  e-λλ00!=0.25        e-λ=0.25             λ=-In0.25…

Q: Suppose x has a distribution with μ = 17 and σ = 11. (a) If a random sample of size n = 36 is…

A: According to the provided information,  μ = 17, σ = 11 and n =36 The mean for the sample mean is: μx…

Q: If X∼U(7,20) follows a uniform distribution, what is the mean of X?

A: The mean of X is obtained below: From the given information, X∼U(7,20) follows a uniform…

Q: Suppose x has a distribution with μ = 20 and σ = 17. (b) If a random sample of size n = 75 is…

A: The mean of the sampling distribution of the sample mean. The standard deviation of the…

Q: 11. The average number of calories in a 1.5-ounce chocolate bar is 225. Suppose that the…

A: GivenMean(μ)=225standard deviation(s)=10

Q: 4.2.8.JLet A denote the mean of a random sample of size n from a distribution that has mean u and…

A:

Q: Suppose the random variable X follows a normal distribution with mean 70 and variance 100. Then the…

A: Correct answer is (C) -1 and 1

Q: et the correlation coefficient between the heights of husbands and wives is o.70 and the n male…

A: Solution

Q: Suppose X1, .., Xn, for n > 1, are sampled independently from a distribution with mean u and…

A: a. From the given information, EXi=μVXi=σ2 a. Consider, EX1=μEX1+Xn2=12EX1+EXn…

Q: 4) Suppose an x distribution with u = 12 and standard deviation 6. Consider two i distributions, the…

A: Given data,μ=12σ=6First based on sample size n=36Second based on sample size n=64

Q: Suppose that X has a Poisson distribution with a mean of 4. Determine the following probabilities…

A:

Q: Suppose that X, X2,... ,X, are an iid sample from the distribution given below, f(X)e = (1/2)(1+…

A: suppose that  x1,x2....xn  are an iid sample from the distribution f(x)θ=1+xθ2 ; -1 <x<1…

Q: Assume the sample variances to be continuous measurements, find the probability that a random sample…

A: N=25 Variance =6 We have to calculate probability for mentioned questions.

Q: If the variable Z is normally distributed with mean equal to 0 and standard deviation equal to 1.…

A: Solution-: Let, Z- be the standard normal random variable We find, P(Z>1.06 and less than 1.72)=?…

Q: 2.Suppose that the return R (in dollars per share) of a stock has the uniform distribution on the…

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Q: 2. Show that in a Lorentzian distribution the half width is r.

A: Introduction -   The Lorentizan function is the singly peaked function given by L(x)…

Q: 3. Let X be the mean of a random sample of n = 25 from the distribution with a mean of 30 and a…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: dollars. In addition, suppose that after the value  has been observed , the 2022 team budget, say ,…

A: Given, Suppose that you enter a fantasy baseball league. Suppose that the 2021 team budget, say , is…

Q: 1)Assume that the readings at freezing on a batch of thermometers are normally distributed with a…

A: