If X and Y are random variables with ux = 2 and µy = 8, then what is µ2x+3" a) 34 b) 13 20

Q: Given the normally distributed random variable X with o = 10 and P(X < 40) = .0080, find u.

A: Note: Please repost other question as i can answer only 1 question as per my policy.   28) Given…

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A: Option a) is correct.

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A: It is an important part of statistics. It is widely used.

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A: The image is attached below,

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Q: a) Let Y₁, Y₂,..., Y, be random variable from a distribution given by f(y; B)= [y²e # 283 Show…

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Q: do in one hour

A: fZ(z) in general form for any value of Z: fZ(z)=∑k​PX​(k)PY​(z−k)Explanation:Given:Random variable X…

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A: The cumulative distribution function (CDF) for a random variable is given by,and

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

A: Given: Z=k+ mW   E(Z)=μZ E(W)=μW

Q: (E}=1 x?); i3D1 8075 so what is the variance of these population (N=8).

A: sum of x = 243 therefore mean  = 2438 = 30.375 sum of squares of x = 8075

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A: From the given information, X~Nθ,1That is,EX=θVX=1 Y=∑i=1nXin-θn

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Q: 4. Suppose X is a random variable such that E( 3X - 7) = 8 and E() 19. What is Var( 70 – 2X ) ?

A: We have, E(3X-7)=8⇒3E(X)-7=8⇒3E(X)=15⇒E(X)=153=5 Also, E(X22)=19⇒E(X2)=19×2=38 Then,…

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A: Given data,μ=7500σ=1750If n=50P(X&lt;6820)=?

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!