What should be the value of k for f(x) to be able to be a probability density function? f(x)=(2kx)/6 0

Q: Exercise 3.3 Suppose that the probability density function of X is 0 2/3). 0,

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Q: Determine the value of c that makes the function f(x,y) = cxy for 0 <x < 4 and 0 <y < 4 satisfies…

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Q: The joint probability density function of X and Y is given by fxx(2, y) = }(x + y) for 0 1.5|X < 1)…

A: Given : The joint probability density function of X and Y is given by; fX,Yx,y=18x+y for…

Q: fxy(x, y)20. A joint probability density function is always non-negative.

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Q: Find a value of k that will make f a probability density function on the indicated interval.ƒ(x) =…

A: The function f is a probability density function of a random variable x in the interval a,b. fx≥0…

Q: Let X and Y has joint probability density function f(X, Y) = 81 - , 0 <x< 3, 0 <y< 3. Find E(X).

A: The joint probability density function is, fX,Y=x2y281,0&lt;x&lt;3,0&lt;y&lt;3

Q: The exponential probability density function is f(y, 2)= he- for y, 120 Show that the exponential…

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Q: Find a value of k that will make f a probability density function on the indicated interval. ƒ(x) =…

A: To find: The value of k that make the function fx a probability density function: Given: The…

Q: Q4- Let X be a random variable with probability density function Scx² + x 0 0. What is the value of…

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Q: If the probability density function of X is : f(x) = e-x (1+e*)2 en what is the probability density…

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

Q: What is the joint probability density function fy,Y, Oof Y1 = X1/X2 and Y, = X,?

A: It is given that  Y1 = X1/X2 and Y2 = X2 We will use Jacobian method of transformation to find the…

Q: Let X and Y has joint probability density function AX, Y) = 0<x<2, 0<y<2. 16 Find E( X Y ).

A: Solution: From the given information, the joint probability density function of X and Y is

Q: Suppose a college professor never finishes her lecture before the end of the class period, and…

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Q: Determine the conditional probability distribution of Y given that X =1. Where the joint probability…

A: First we have to calculate the marginal density of X f(x).

Q: Market researchers are interested in what convinces people to stay for a long time in a shop. If T…

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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…

Q: What is the probability density function of W =min{X, Y }

A: Answer: Let X and Y be two independent random variables with identical probability density function…

Q: Determine the value of c that makes the function f (x, y) = cxy for 0 < x < 4 and 0 < y < 4…

A: The joint pdf of X and Y is given by f(x, y) = cxy , 0 &lt; x &lt; 4 and 0 &lt; y &lt; 4

Q: fxlx,y) = x2y is a joint probability density function over the range 0<x<2 and 0<y<3 12 Find the…

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Q: A random variable x has a density function f(x) = c(x+1) where 0 < x < 2| 2

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

Q: For the probability density function 1 f(x) = x on [0, 2] Find : E(X) Var(X) o(X)

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Q: If the joint probability density function of X and Y is f(x, y) = e**), 0 < x, 0<y. Are X and Y…

A: Given the joint probability density function of X and Y is fx,y=e-x+y,    x≥0, y≥0

Q: Find a value of k that will make f a probability density functionon the indicated interval.ƒ(x) =…

A: From the definition: The function f is a probability density function of a random variable x in the…

Q: Sketch the graph of the probability density function over the indicated interval. f(x) [0, 8] 8(x +…

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Q: (4x³ : - Suppose X has probability density function Jx(x)={ 0<x<1. : otherwise

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Q: 3. Find the value of k so that f(x) for 1 < x < 2 is a probability density function. (x + 1)?

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Q: Is the probability density function a valid PDF? * if x 1 F(x) = x2 +=x3/2 %3D ON/30

A: the probability density function i.e., pdf of a random variable X is denoted by f(x) and the…

Q: function fx,y given by Suppose that X and Y have a joint probability density -{..-* fxy(x, y) =…

A: Given f(x,y)=ce-2(x+y) x&gt;0, y&gt;0

Q: What is the probability density function, f(x), for the time to complete the obstacle course equal…

A: Let X denote the time required to complete the Uniform obstacle course in the Statistics. Given that…

Q: The life (in years) of a laptop battery has a probability density function defined by P(x) -z /5 5…

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Q: (b) Find the probability density function of Y= X

A: A random variable X has a probability density function: f(x)=0; x&lt;012; 0≤x≤112x2; 1&lt;x&lt;∞

Q: A continuous variable Y has a probability density function given by p(y)=Ay^3 for 0≤y≤3 What is…

A: Answer -A continuous variable Y has a probability density function given by p(y)=Ay^3 for 0≤y≤3…

Q: b) Find the marginal probability density function of X, fy(x).

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Q: The probability density function of X is f(x) = for 0 <= x < 10, then 10 10 P(X +2 7) is:

A: Since , the probability density function of X is given by , Our aim is to find the ​​​​​​​

Q: 2- If the probability density function of X is : f(x) : -00 <x < ∞ (1+e-*)2 1 then what is the…

A: The distribution function of y is given by…

Q: The temperature X at which a thermostatically controlled switch turns on has probability density…

A: The provided probability density function is  f(x)=12    59≤x≤600       otherwiseThe mean is…

Q: Find the value of k that makes the given function a probability density function on the specified…

A: The given function is, fx=kx on the interval 1, 3. The objective is to find the value of k that…

Q: The(probability density function of a random variable, x is (x) = -(4 – x²) for 0< x < 2 4 = 0 %3D…

A: Introduction :

Q: 9- The important properties of the probability density function p(x) was: a- p(x) dx = 0.5 b- P(x)…

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Q: For a particular kind of battery, the probability density function for x hours to be the life of a…

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Q: The score of a student on a certain exam is going to be a number between 0 and 1. Think of it as the…

A: given that  the score of a student on a certain exam is represent by a number between 0 and 1…

Q: Find a value of k that will make fa probability density function on the indicated interval. f(x) =…

A: See the answer below

Q: Determine the value of e that makes the function f(x, y) = cxy for 0 < x < 4 and 0 < y < 4 satisfies…

A: Solution

Q: 0 <x <1 (cx, f(x)= (0, for other x values a) What must c be for the function to be a probability…

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Q: 3) The probability density function is f(x) = 2e-kx X>0 Find the value of k.

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Q: Find the value of the constant c so that the function below is a probability density function for a…

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Q: Let X be a random variable with probability density function L{(1 }(1– æ), -1 < x < 0 f(x) = 0,…

A: Given : f(x) = 23(1-x) , -1≤x&lt;0

Q: .) The probability density function of the random variable X is given by: for x > 0 otherwise. f(x)…

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Q: Determine the value of c that makes the function f (x,y) = cxy for 0 < x < 4 and 0 < y < 4 satisfies…

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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.