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 f(x)=1.2 F(-1)= H P 1.6 1 0.5 0.2 -0.5 (a) Find and sketch the cumulative density function (cdf). Clearly show the values of y for x= -1, 0, 0.5, 1 and 2. F(x) = f(x) dx (0≤x≤1) (otherwise) F(0) =_______ PDF 0.4 CDF 0.6 0.5 0.8 F(0.5) =___________ F(1)=_ 1.5 F(2)=

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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: Consider the continuous probability density function defined by y= - 0.02x + 0.102 on -4.9 -0.9) =…

A: Consider the continuous probability density function defined by f(x)= - 0.02x + 0.102 on -4.9 < x…

Q: Consider the function f, with graph shown below. 0.3 0.2 y = f(x) 0.1 -3-2-1 1 2 3 4 5 6 7 8 9 10…

A: To test y = f(x) is a probability density function, the following conditions are to be verified. 1,…

Q: For the probability density function shown, what is the value ofh? f(x) ↑ 0.45 0.8 1.25 2.5 Cannot…

A: The total area under the probability distribution function is always equal to 1. Total area=1 Apply…

Q: Consider the continuous probability density function defined by y = 0.25 on-0.5 ≤ x ≤ 3.5. 0.5 0.45-…

A: We are given a probability density function for continuous uniform distribution as,This implies…

Q: 1. A random variable X has a probability density function given by 2x + 6 fx(x) -3 < x < 2. 25 Let Y…

A:

Q: Consider the probability density function if x 1. 2x4 Find E(X). Select one: | -IN -|0 O O O O

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

A: Solution

Q: 11) Prove cos+x -sinfx = cos 2x

A:

Q: Consider the continuous probability density function defined by y= 0.25 on -2.6 -2.2) =  P(X <…

A: The probability density function is:.

Q: Hanny

A: a) PDF of Xf(x)=6xe−3x2,x≥0b)mean =0.5118median=0.4807mode=0.4082Explanation:

Q: The table below shows a probability density function for a discrete random variable X. What is the…

A: x P (X=x)  0 1/12 1 5/12 2 1/12 3 1/6 4 1/6 5 1/12

Q: Find the cumulative density function for the given probability density function. 1 for 2<x<6 4 f(x)…

A:

Q: Find k such that the function is a probability density function over the given interval. Then write…

A: Solution: From the given information, the probability density function is

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A:

Q: Since height is a continuous numerical variable, its probability density function is represented by…

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A: To find pdf from the given cdf of the continuous random variable X.