Let X be a continuous random variable with the following pdf: (3x²+1), f(x) = { ¼ (3² -1

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Q: normal pdf.

A: For a normal distribution with parameters μ &σ the pdf is given by:

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A: Given data,μ=1.5σ=0.42

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Q: is 0.86. Use this information and the symmetry of the density function to find the probability that…

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A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: # joint pdf of random variable x and y is given f(x,y)=12x+20y. :0&lt;x,y&lt;1  Then to find…

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Q: 1. Let fx(x) denote the PDF of X, evaluate fy(y), the PDF of Y = --X – 6, in terms of fx(x).

A: Given problem is :

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A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Let x be a continuous random variable that has a normal distribution with a mean of 80 and a…

A: GivenMean(μ)=80standard deviation(σ)=12

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Q: The probability density function for a discrete random variable X a. Is usually normal b. Is usually…

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Q: 2. Consider the function ln x. a. Normalize it so that it is a PDF on [2.77, 4.38]. b. Compute the…

A: see the attachment