2. Consider the function Fx(x) = 0 E. x < 0, 0 2. (a) State the 4 properties of a distribution function.

Q: Let g(x)=5x Use small intervals to estimate g(1).

A: g(x)=5x g(1)= (5)(1)=5 g(1)=5

Q: Find the distribution function for f(x). (0.5 1 1<x<2 ƒ(x) = { ½ x x 2<x<3 0 elsewhere

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Q: 3180 The function f(x) = √3x², for 0≤x≤2₁ [0, otherwise is pdf for some X. Find the pdf for Y=2X-1-

A: Given The pdf of  we have Also ,Let we have the given range

Q: Xis random variable distributed with 2. 3x,where 0<X<1 what is P(X <Oe5)

A: We have to find given probability.

Q: raph of the derivative of a continuous function fis shown below. (Assume the function is defined…

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Q: Find the mean value of the function y = 4cos x on the interval 0,

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Q: Let X = U(3) find Var(-x) and distribution function.

A: It is given that the random variable X~U(3) Now, in uniform distribution we have two intervals 'a'…

Q: (a) State the Mean Value Theorem. (b) Suppose we know that f (x) is continuous on the interval…

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Q: 2 V9 - f(x) = for -3 <x <0 TTX -x +3 coS for 0 < x < 4

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Q: 2. Two independent variables X and Y have a distribution function F(x)=x and F(y)=y respectively, if…

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Q: Find the values of c guaranteed by the Mean Value Theorem (MVT) for f(x) = 12 |x| over the interval…

A: fx=12-x As we know  ⇒x=-xit x&lt;0xif x≥0

Q: The error involved in making a certain measurement is a continuous rv X with the following pdf.…

A: given X: the error involved in making a certain measurement.pdf of X…

Q: A function f(x) describes some physical process when it has positive values. The function is given…

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Q: What is the average value of the function f(x) = 8x + 3 on the interval [-1,5] ? %3D (a) 168 (b) 211…

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Q: 2. The graph of y = f(x) is shown in the picture. Find the average value of f(x) on the interval…

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Q: The prob density of a rv X is given by X f(x) = {2-x f(x)=2-x 0 0<x< 1 1<x<2 elsewhere Find the prob…

A: Find  (a) P(0.2&lt; X&lt; 0.8)=? (b)P(0.6&lt; X&lt; 1.2)=) Find CDF F(x)

Q: f(x)=4log(x+2)f(x)=4log⁡(x+2) Which interval has the smallest average rate of change in the given…

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Q: Calculate the successive average rates of change for the function, H(x)H(x) in the table below. xx…

A: Topic- Average rate of change  We are given values of function at certain points.

Q: Find the average of the function over the given interval. f(x) = x - x over [0, 2] 3 Plot the…

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Q: The distribution function of X is given as F(x)=0 for x<0 and 1-e-3x otherwise Find P(X=2) Find…

A: he distribution function of X is given as F(x)=0 for x&lt;0 and 1-e-3x otherwise 1.Find P(X=2) So we…

Q: Complete the table Class limit Class Midpoint fx fx? (x) 15-19 10-14 15 5-9 13 0-4 7 Using the…

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Q: Given X ~N (25, 52) Find k such that P(20 < x < k) = 0.4 using normal distribution laws

A: Solution-:Given: We want to find k such that,P(20&lt;X&lt;k)=0.4

Q: Find the average of the function over the given interval. f(x) = x³ - x over [0, 2] -1/4 Plot the…

A: Given- f(x)=x3-x We need to find average over the function over [0,2] Average value of f(x) is given…

Q: f(x) = 4x²-3x+5 and f pe your answer...

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Q: %3D 7. Find the average value of the function f(x) = |x – 2| on the interval 1, 4].

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Q: 2. The probability in minutes of being waited on in a large chain restaurant is given by the…

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Q: X 2 4 If (x₁y) 2 f(x,y). · 10.10 3 0.15 5 0·10 0.20 0.30 0·15 a. Determine the marginal distribution…

A: f(x,y)       2        4        Total      1        0.10       0.15 0.25  Y= 3…

Q: 3. A continuous function ƒ is defined on the closed interval -4≤x≤4. The graph of the function,…

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Q: f(x) 7. 3 15 24 29 35 Match the time interval with its average rate of change. Have Fun! 6. 8 2 < x…

A: The objective is to match the time interval with its average rate of change .