The ran (a) Show the graph of the probability density function. f(x) 1 f(x) 3 3 2 1 0.5 1 1.5 2 2.5 X een 1.0 and 1.5. f(x) 3 2 1 0.5 1 1.5 2 2.5 X f(x) 3 2 0.5 1 1.5

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A: In the given graph, f is the function of x. But the values of x are discrete and not continuous.…

Q: Let F(x) be the cumulative distribution function (cdf) of a random variable X. Which of the…

A: P(a<X<b) = F(b) - F(a) F(a) + P(a<X<b) = F(b)

Q: A random variable X has a p.d.f. f(x) given by S(x) = {^e²) x>0 otherwise ke-3x a. Find the constant…

A: Given,f(x)={ke-3x; x>00; otherwise

Q: p(z) $(z) 0.5 .69146 2.0 97725 1.0 |.84134 2.5 .99379 1.5 .93319 3.0 .99865 7. Find each…

A:

Q: For the probability density function (pdf) {1.2(2². (2-3x+x²) 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 O…

A:

Q: (a) P(x = 21) Т f(x) Let a be a discrete random variable with probability density function f(x), as…

A: The given information states that,A discrete type of random variable x with probability density…

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A:

Q: (b) Let X and Y have joint probability density function fxx (,)= k, x>0, y > 0, x+y<1 0, otherwise.…

A:

Q: Consider the following probability density function f(x): 1 f (x) = for 0 <x < 2 e 1- e-2

A:

Q: Find the variance of the probability density function using two methods. 5 f(x) 8 [0, 2]

A:

Q: (a) Let a be a real number such that 1 < a and let X be a random variable corresponding to a real…

A:

Q: Let X be a random variable with probability density function Find the value of c: c = Find the…

A: The probability density function of the random variable X is given as follows:

Q: The probability density function of the random variable X is as follows: f(x) = {c (3x² + 1), 0<1<2…

A: Solution

Q: (b) Find E(X). Find Var(X). otherwise.

A: Pdf of X is f(x)=132(8−x) , 0 ≤ x ≤ 8.

Q: X -3 -2 0 1 3 f(x) 1/2 1/10 1/5 1/10 1/10 Questions: a) Compute the expectation E(x). b) Compute the…

A: Step 1:Step 2:Step 3:Step 4:

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A: Step 1:To find the marginal distributions from the given joint probability distribution table, we…

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A:

Q: 4 The continuous random variable X has cumulative distribution function: x 3 Find: a P(X> 2.4) b the…

A: I solved exactly 3 subpart of given question... because of bartleby policy. If you want more please…

Q: Let the probability distribution function (pdf) for a continuous random variable be defined as f(x)…

A: Given, The probability distribution function for a continuous random variable be defined as,