If the probability density function of the random variable X is S1- |a| for |æ| < 1 f (x) = { 0, el sewhere Find the variance of X (answer in fraction or in 3 dp)

Q: Find the variance of a random variable X with the given probability density function: f(x) = 3x2 for…

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Q: Suppose a is a random variable best described by a uniform probability that ranges from 21 answers…

A: As per guidelines expert have to answer first question three subparts only since I have done all for…

Q: If X is the continuous random variable whose probability density function, Find P(1≤x≤3) f(x)=8 for…

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Q: The random variable X has the following probability density function:  fX(x)={9xe−3x 0≤x<∞ 0…

A: Given,f(x)=9xe-3x     ; 0≤x≤∞0              ; elsewhere

Q: 3. The lifetime in hours of an electronic gadget is a random variable having a probability density…

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Q: The expected values of the independent random variables x and y (E(x) and E(y)) for a joint density…

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Q: The probability density function of the random variable X is given by: f(x)=n for 0 < x< 10, and…

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Q: If X is a random variable with probability density function 32 f (x) = for x = 0, 1, 2, 3, 4 and 5,…

A: Formula : Variance :

Q: Suppose that the random variable X has the probability density function for - 1s x s1 S (1 - x2)…

A: We want to tell you which one is the correct choice.

Q: a) The weekly request for a drinking-water product, in thousands of liters, from a local stores is a…

A: Given: f(x)=2(x-1),1&lt;x&lt;20,elsewhere The objective is to find the mean, variance and…

Q: The weekly demand for Cola, in thousands of liters, from a local chain of efficiency stores, is a…

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Q: Consider the probability density function for a random variable X, given by for 0 < x < 5 10 f(x) =…

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Q: Consider the probability density function for a random variable X, given by for 0 < x < 5 10 f(x) =D…

A: For the given random variable X, its probability density function is given by

Q: If the probability density function of a continuous random variable X is f(x) = ⎧ .5x     0 ≤ x ≤ 2…

A: The probability density function of a continuous random variable X is,

Q: If X is the continuous random variable whose probability density function, Find P(-2≤x≤3) for 0≤x≤ 4…

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Q: The random variable X has a probability density function given by: k 1<x< 10 f(x) =} Vx- otherwise…

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Q: 1. The random variable Y = X2 does not have a normal distribution because the probability density…

A: Given that,  X~ N(u,σ2)  Where u is mean and σ2 is variance of X.  P.d.f. of X is given by,    Y= X2

Q: The probability density function of a random variable is kx³ f(x) = if 0 < x< 2 V25 – x2 =D0…

A: Let X be a random variable. The probability density function of X is f(x). f(x) is a probability…

Q: [1] The probability density function of a random variable X is = {c(x+4), -4 4.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Suppose that the random variable X has the probability density function flW) = 0 ( (1- x²) for - 1s…

A: Given p.d.f : f ( x ) =    ∫-11 c ( 1 - x2 ) dx           for -1 ≤ x ≤ 1                      o…

Q: A random variable X has the probability density function given below (2x, 0<x<1 g(x)={6+4x 1sx<3 0,…

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Q: If a random variable has a probability density function given by fox) =3 for 4.9 sxs5.1. Then the…

A: The distribution function of X is defined as F(x) = P(X ≤ x)

Q: Suppose the probability density function for a uniform distribution ranging from 0 to 1. The mean of…

A: Solution: 5. Let X be the length of statistics professor class. From the given information, X…

Q: 7. The probability density function of a random variable X is f =;sin x in 0 SXST = 0 elsewhere ,…

A: The probability density function is fx=12sinx    , 0≤x≤π

Q: Suppose that the random variable X has the probability density function S (1- x) for -1s x s1 f(x)…

A: We have the  random variable X  has the probability density function.

Q: Suppose that the random variable X has the probability density function c(1– x2) for - 1s x <1 f(x)…

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Q: 1. The random variable Y = X2 does not have a normal distribution because the probability density…

A: The p.d.f of normal distribution is given by,

Q: A random variable X has an exponential distribution with probability distribution function is given…

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Q: Suppose that the random variable X has the probability density function c(1 – x²) for - 1s x s1 f(x)…

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Q: b) Suppose X is a random variable with probability density function 2x 0 0.4|X < 0.8).

A: # given pdf of random variable x is  f(x)=2x   :0&lt;x&lt;1  then to find probability…

Q: Q1- The probability density function of the random variable X is as follows: X=x 3 1 2 3 1 P(X=x) 7.…

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Q: A random variable X with probability density function f(x) 1.5x2 for -1 <x<1 has variance = %3D O…

A: From the provided information, The density function f(x) = 1.5x2 for -1&lt; x &lt; 1

Q: Suppose that random variable X is uniformly distributed between 4 and 22. Draw a graph of the…

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Q: (a) A random variable X has the following probability density function k, 0sx<1 f(x) = }x/4, 1<x<2 0…

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Q: Find the expected value of the random variable Xwhose probability density is given by f(x) =⎧⎪⎪⎨⎪⎪⎩x…

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Q: If is a Gaussian random variable withµ mean and o2 variance, find the probability density function…

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Q: If the probability density function of random variable X is given by: f(x) = {o." ( kx? + x, x €…

A: Given ,f(x)=kx2+x  ;  x∈0,10           ;  otherwise

Q: The probability density function of a discrete random variable X is given by the following table:…

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

Q: Q1- The probability density function of the random variable X is as follows: X=x 1 1 1 1 P(X=x) 4. 4…

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Q: The time, X, to infection for Eagle Flu in minutes, after coming into contact with the virus has…

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Q: Suppose that the random variable X has the probability density function ´c(1– x²) for -1s x s1 f(x)…

A: f(x)=c(1-x2)     ;  -1≤x≤10                ;  otherwise

Q: Find E(X) and Var(X)

A: Since , the probability distribution is given by ,  = 0 ; otherwise Now , we want to find the E(X)…

Q: (a) Let random variables X1 and X2 be independent and have a common distribution of Exponential with…

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Q: If the probability density function of random variable X is given by: = {k(x-1)(2-x), 0, 15xS 2;…

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Q: The probability that none of the three bulbs in a set of traffic lights will have to be replaced…

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Q: Suppose the random variable x is continuous and has the following cumulative distribution function…

A: Given- Suppose the random variable x is continuous and has the following cumulative distribution…

Q: Suppose that the probability density function of a random variable X is as follows: f(x)= cx,…

A: GIVEN THAT:       f (x)= cx for0&lt;x&lt;4; 0, otherwise.

Q: Given that f(x, y) = (2x+2y)/2k if x = 0,1 and y = 1,4, is a joint probability distribution function…

A: Solution: The joint probability distribution function for the random variables X and Y  can be…

Q: The joint probability density function of the random variables x and y is as follows?

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

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.