Random variable X has mean μX = 24 and standard deviation σX = 6.   Random variable Y has mean μY = 14 and standard deviation σY = 4.   A new random variable Z was formed, where Z = X + Y.  What can we conclude about X, Y, and Z with certainty?  That is, which one is true? Select one: a. μZ = 38            σZ = 7.211                   X and Y are independent b. μZ = 38            σZ = unknown             X and Y are independent c. μZ = 38            σZ = 6                          X and Y are related d. μZ = 38            σZ = 10                        X and Y are mutually exclusive

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A: Given that  Population Standard Deviation = 37 Sample size = 30 Note : According to bartleby experts…

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A: We have given that  Let X be a random variable with a normal distribution. The mean is given by (mu)…

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A: Solution : Given : μ = 50             σ = 3              n = 30

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Q: What is the smallest size sample, n, which will make the variance of Xtot at least 20000?

A: Given Information: The population standard deviation,σ=23 The random sample of size, n=19

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A: Given: Population standard deviation σ = 34 Sample size n = 30

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A: P(Y≥y)≤12πσ2exp-y-μ2/2σ2 for all yℂℝ because it is also a part of normal distribution.

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Q: Random variable X has mean μX = 24 and standard deviation σX = 6.   Random variable Y has mean μY =…

A:

Q: Suppose X is a normal random variable with mean=5 and variance=0.5. a) If sample size = 50. P(35) =…

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Q: Let the random variable Z = k+ mW. Then, Pz = mµw- %3D

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A: The probability that the sample average of X is at most 19 = P(X<=19) = 0.0228

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A: From the provided information, Mean (µ) = 5 Standard deviation (σ) = 3

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A:

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A: We want to find discrete random variable.

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A: Suppose X is a random variable with  X∼N(80,62)

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Q: Example: A tensile strength of synthetic fabric have a normal distribution with 600 newton mean and…

A: GivenMean(μ)=600Variance(σ2)=64standard deviation(σ)=64=8The buyer of the fabric wants the breaking…

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A:

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Q: Given = 13, complete the chart and fill in the blanks. Nine points.

A: x =13 x1+x2+x3+x4+x5+x66=1354+x66 =13x6 =24

Q: Random variable X has mean μX = 24 and standard deviation σX = 6.   Random variable Y has mean μY =…

A:

Q: Question 2 HOLL L LOV This year, the ACT score has a normal distribution with a mean of 20 points…

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A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

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A: In the linear regression model, Ei is the error term, also known as the disturbance term.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.