If the probability density function of X is : f(x) = e-x (1+e*)2 en what is the probability density function of y: 1+e-*
Q: 1 The life (in years) of a laptop battery has a probability density function defined by P(x) = -z/3…
A: We have given that the life of a laptop battery has a pdf defined by, P(x) = f(x) = (1/3)*e-x/3,…
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A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…
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Q: continuous random Variable X has probability Density function defined by f(x) = 5-5x; 0
A: Given: f(x) = 5-5x
Q: Suppose lifetime of a particular type of old mobile, X, can be modelled by the probability density…
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Q: 7. If the joint probability density function of X and Y is 1 if 0 < x < 1; 0 < y < 1 f(x, y)…
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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<x<3,0<y<3
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Q: Find a value of k that will make f a probability density function on the indicated interval. ƒ(x) =…
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Q: 3. Consider the function f (x) = B - x/4 for 1 s x s 2 and f (x) = 0 otherwise. Determine the value…
A: Explanation of the answer is as follows
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Q: if x 2 1, Let {x2 0, if x < 1. Show that f is a probability density function and that the…
A: Topic:- probability density function Note:- as per our guideline if more than one question uploaded…
Q: Let Kcosx f(x) = otherwise be probability density function of X a)Find the value of c b)Compute E…
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Q: Let the joint density function of X and Y be given by kxy2; 0<x< y<1 fx,x (x,y) = 0; e.w. What is…
A: We know that total probability for p.d.f. is 1
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: If f(x) = kx, determine the value of k that makes f(x) a probability density function on 0<xs4.
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Q: Let X and Y has joint probability density function AX, Y) = 11 ^2 e-^, * - A,y ,0<x<∞, 0 <y<∞. Find…
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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: Suppose that the joint probability density function of X and Y is fX,Y(x,y) = 10.125(x2 – y2) e−3x…
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Q: Let the density function of a random variable X be given by fx(x) = 0x®-!, 0Sxs1 Suppose X1, X,.,…
A: Let the density function of xi's be f(x)=θxθ-1; x∈(0,1) x1 ,x2 ,...,xn be the random sample drawn…
Q: Let X be a random variable with probability density function 3 -x², -1 < x < 1 2 Which of the…
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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: 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: Suppose that X ~ Unif[0, 1] and let Y = e^X. (a) Find the cumulative distribution function of Y .(b)…
A: In particular, the cdf and pdf of X is, Since, ex is an increasing function of x and Rx = [0, 1],…
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A: Given that, X is a continuous random variable, and f(x) be the p.d.f. of X.
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A: Since X and Y are jointly distributed we can say that there exists a probability distribution…
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A: Definition used- The function f(x) is a probability density function, if- i) f(x)≥0 for…
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…
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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…
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Q: function fx,y given by Suppose that X and Y have a joint probability density ce-2(x+y) fxy(x, y) =…
A: f(x,y)=ce-2(x+y) x>0, y>0 Find c
Q: probability density function for (X, Y) is as follows. Compute the probability that neither railroad…
A: Here given joint pdf Using integration finds the required probability
Q: Suppose that the random variable X has cumulative mass function given by if x 2. What is the…
A: We use the realtion of cdf and pdf to solve the qstn.
Q: What is the joint probability density function f₁,2 of Y₁ = X₁/X₂ and Y₂ = X₂?
A: We will use Jacobian method of transformation to find the joint probability of Y1 and Y2.
Q: Find a value of k that will make f a probability density function on the indicated interval.ƒ(x) =…
A: Given: ƒ(x) = kx3; [2, 4] A probability density function equals 1 for sum of all range of values.
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Q: A random variable X has a density function (cx² f(x) = {cx 1< x< 2 2 < x < 3 otherwise Find: a)…
A: Given: f(x)=cx2, 1≤x≤2cx, 2<x<3
Q: Suppose lifetime of a particular type of old mobile, X, can be modelled by the probability density…
A: Given, f(x) = 0.5e-0.5x : x≥0 where x is a random variable follows exponential distribution with…
Q: Let X be a random variable with density function: [K(1=x³) f(x) = { 01 if 0sxs1 otherwise The value…
A: The total probability is always 1. So, ∫-∞∞f(x)dx=1
Q: Suppose lifetime of a particular type of old mobile, X, can be modelled by the probability density…
A:
Q: suppose x has an exponential distribution with probability density function f(x) =2e^-2x, x>0. Then…
A: In question, Given X has an exponential distribution with probability density function f(x) =2e^-2x,…
Q: The life (in months) of a certain computer component has a probability density function defined by…
A: The life of a certain computer component has a probability density function defined by f(x)=13e-x/3…
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Q: A continuous variable X has a probability density function given by p(x)=Ax^2 for 0≤x≤4, and p(x)=0…
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- Figure I shows the piecewise function (I), (II), (III) and (IV) for cumulative distribution function F(x) for continuous random variable. F(x) (6. 1) IV III II (4.0.8333) (0.0.1667) Figure I Construct the probability density function fix). Should one of the piecewise functions (IV) is not constant, explain the changes.* Consider the probability density function fx (x) = a e-b lel where X is the random %3D variable which assumes all the values from (i) relation between a and b -00 to -00, Find (ii) the probability of finding X in the range 1 to 2.10) Let f(x) by the probability density function of some continuous random variable. Explain why it must be true that f(x) dx =1.
- Indicate whether the function could be a probability density function. Explain. S6x(7 – x²) when 0 sxs 1 g(x) elsewhere The graph---Select--- O a probability density function because ---Select--- 1. (x)E(3) Let X = b >(8,-) find E(5+6x) and distribution function.Determine the value of c for which the function below will be a probability density function. Jc(8x' - x*) if 0sxs8 f (x) = 3 if 0A random variable X has the probability density function as f(x) = Ax(9-X2) 0 ≤ x ≤ 3 = 0 otherwise Find the value of A, the mean and the standard deviation of X.The random variables X and Y have a joint probability density function given by f(x, y) = way, 0 < x < 3 and 1 < y < x, and 0 otherwise.Roughly, speaking, we can use probability density functions to model the likelihood of an event occurring. Formally, a probability density function on (-, 0) is a function f such that f(x) > 0 and | f(x) = 1. -0- (a) Determine which of the following functions are probability density functions on the (-00, 00). 0 0 (b) We can also use probability density functions to find the expected value of the outcomes of the event – if we repeated a probability experiment many times, the expected value will equal the average of the outcomes of the experiment. (e.g. S xf (x) dx yields the expected value for a density f (x) with domain on the real numbers.) Find the expected value for one of the valid probability densities above.Please answer all part : Let rt be a log return. Suppose that r0, r1, . . . are i.i.d. N(0, 0.01^2). (a) What is the distribution of rt(8) = rt + rt−1 + rt−2 +...+ rt−7? (b) What is the covariance between r7(3) and r9(3)? (c) What is the conditional distribution r17(3) given that r16 =0.004 (d) What is the probability that the gross return over the first 10 times periods is at least 1.05?The life lengths of two transistors in an electronic circuit is a random vector (X; Y ) where X is the life length of transistor 1 and Y is the life length of transistor 2. The joint probability density function of (X; Y ) is given by ´2e-(x+2) x 2 0, y 20 fx,y(x,y)=| else Then the probability that the first transistor burned during half hour given that the second one lasts at least half hour equals Select one: a. 0.3935 b. 0.606 c. 0.7772 d. 0.3669 e. 0.6318If probability density function of a random varíable X is f(x) = x² for –1SXS1, and %3D O for any other value of x %3D is then, the percentage probabilityPSEE MORE QUESTIONS