The proportion of people who respond to a certain mail-order solicitation is a random variable X having the following density function. 2(x+3) 0

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A: Given :  Variance can be obtain by the formula :  First Calculate Mean :  .............(1)

Q: The proportion of people who respond to a certain mail-order solicitation is a continuous random…

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Q: Let X be a random variable with density function -1< x < 2, elsewhere. 2/3, f(x) = 0,

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A: Given: fx=k5x3,        -1≤x≤1       =0,                   otherwise Given function is a density…

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A: Given,f(x,y)=23x+2y      ;0≤x≤1, 0≤y≤10                    ;elsewhere

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Q: Let the random variable X have the density function f(x)= (kx,0 ≤ x ≤ √2/k lo, elswhere

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Q: A random variable X has the density function: fx (x) = { 3 (3-x) 1<x<3 10 otherwise

A: Consider, EX2=∫xx2fxdx          =∫01x2*65x2dx+∫133103-xx2dx          =65x5501+3103x33-x4413…

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Q: Let X be a random variable defined by the density function COS --4 <x5 4 fx(x) = {16 8. elsewhere…

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Q: The proportion of people who respond to a certain mail-order solicitation is a random variable X…

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Q: The proportion of people who respond to a certain​ mail-order solicitation is a random variable X…

A: Given f(x) =23(x+1),    0&lt;x&lt;10,    elsewhere Since   σ2=E[X2]-E[X]2       E[X]= ∫01x.f(x)dx…

Q: Let X be a random variable with density function f (x), with 0 <x<4. Given rw dr = 08 and = 0.4…

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A: Given, The PDF of a continuous random variable X is as follows: f(X)= c(4x2 - 2x2)       0&lt;* x…

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A: This can be solved using expectation formula

Q: Let X be a random variable with density function -1< x < 2, elsewhere. 0,

A: From the given information, f(x)=x23, -1&lt;x&lt;2 Mean of X: Mean=∫-12xf(x)dx        =∫-12x*x23dx…

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A: For a continuous random variable the expected value is computed by E(X)=∫-∞∞xf(x)dx and the variance…

Q: 1. The proportion of people who responded to a certain mail-order solicitation is a (2(x+2) 2,0 <x<1…

A: HERE AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION  here given pdf of x

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Q: 4. The shelf life in days, for bottles of a certain prescribed medicine is a random variable having…

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Q: 3. The proportion of people who respond to a certain mail-order solicitation is a continuous random…

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Q: Consider the random variable T with probability density function for 1 <t< 3, f(t) = otherwise.…

A: The formula for variance ( σ² ) is E(T²) - [E(T)]². So let's find E(T) first. Therefore, E(T) =…

Q: Let x be a random variable with a density function 6x (1 – a), 0 < x < 1 f (2) = { 0. el sewhere By…

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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.