[4+Be. x>0 2. F(x)={ l0. is the cumulative distribution function for some continuous rv. Find A=. Px<2)=

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

A:

Q: Suppose that a continuous function g satisfies: | 9(2)de = 12 and | 9(20)da = 24. Find og(3x²)dx.

A: Given that, ∫03gxdx=12, ∫06g2xdx=24 Let  ∫06g2xdx=24 Apply the substitution u = 2x to find this…

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: Use the function f (x) = 2* to answer the following question. Over which interval is the average…

A: Given ,    f(x) = 2x We know that average rate of change = [f(b) - f(a)]/(b-a) (a) a = -5 , b = -2…

Q: 1 65. Is the function given by G(x) = continuous бх + 8 at x = 2? Why or why not? 2.

A: To check the function G(x) = 1x2-6x+8 continuous at x = 2. G(x) = 1x2-6x+8

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

A:

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: 30. For all values of x, the continuous function f is positive and decreasing. Let g be the function…

A: Given: For all values of x, the continuous function f is positive and decreasing. let g be the…

Q: If f(x) is continuous on [-2, 3] and the average value of the function f(x) on [-2, 3] is 6. What is…

A:

Q: Let X be the amount of soda released by a soft-drink dispending machine into a 6-ounce cup. Assume…

A: Given information: σ=0.25 a)  P-value for the quantity, where no more than 0.5% of the releases…

Q: Calculate the average rate of change for the function f(x)=5x² .5x-1 over the interval 4 3x S2.5

A:

Q: ]

A: The average rate of change of h over the interval, [-2,4] is, (-4)  The detailed solution is as…

Q: If f(6) = 13, f' is continuous, and f'(x) dx = 16. Find f(7) and enter a numerical value. Example,…

A: In this question given that f(6) and find the value of f(7) . We use here integration method to…

Q: P(2 ≤X<5) P(8 < X < 12) Find the cumulative distribution

A: Given that Suppose that f(x) = e¯(x − 4) for 4 &lt; x. We have to find a...P(2&lt;X&lt;5)…

Q: Let X have a gamma distribution (a, ß)and Let Y = ex.Find G(y)and g(y) by D F method %3D

A: From the given information, X be a gamma distribution α,β. The pdf for X is, f(x)=βαΓ(α)xα-1e-βx The…

Q: Find the average rate of change of the function on the interval specified. h(x) = 5 − 6x2  on  [−2,…

A: To Find the average rate of change of the function on the interval specified. h(x) = 5 − 6x2  on…

Q: 1: Let f(x) =:1<r<) zero elsewhere Is p.d.f find 1- The cumulative distribution function (c.df) of X…

A: HERE GIVEN PDF  f(x)=2x3, 1&lt;x&lt;∞         0, otherwise

Q: Is the following function continuous at a = 1? Explain why. x2 +4x 21 - f(x) = ifx # 3 X - 3 6. ifx…

A: Consider the function  fx=x2+4x−21x−3              x≠36                                 x=3