Let p(x) be the density function given by Find the mean value of p(x). p(x) = 2 192 2 16 0 X - if 0≤x≤8 2 -x if 8 ≤ x ≤ 24 384 otherwise.

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: Find the probability that the time it takes a passenger to travel from the main terminal to the…

A: Passenger congestion is a service problem in airports. Trains are installed within the airport to…

Q: Let f(x) be a continuous function. If f(c) is an absolute max or absolute min, then c is unique. O…

A: Given,  fx is a continuous function fc is absolute max or absolute min , then c is unique.  We have…

Q: the function is continuous, is it uniformly continuous?

A: We have to define if the function is continuous, is it uniformly continuous or not

Q: f(x)=8x¹-7x³+2 on [−2,1]

A: To compute the average value of the given function f(x)=8x4-7x3+2 on [-2, 1]

Q: Determine whether f(x) is a probability density function on the interval [0, 4]. If not, determine…

A:

Q: Let X be the number of minutes that it takes a random selected student to solve a mathematical…

A: Solution

Q: A VA X has a probability density f (x) = 3x² in the interval [0.1]. Determine F (x) = p (x

A: Probability density function of X is f(x)=3x2 , 0<X<1

Q: Let Find the average value of the function on the indicated interval f(x) = |x|, C1 *E[-3,3]. fav…

A: The given function is: fx=x, x∈-3,3 To find the average value of the function on the indicated…

Q: Show that a uniformly continuous function on (a, b) is bounded.

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Q: 10) Find the average value of the function f(x) = -3x² on the interval 3 < x ≤5

A:

Q: The table shows selected values of a continuous function, f (x), whose domain is 1 <xs 11. What is…

A: here given table  will draw a graph according to the given data  here f(x) = 50 is horizontal line…

Q: b) Let f(x) = ax + Bx +y be a function defined on the closed interval [a, b] where a, B,y, a and b…

A: Given function is  fx=αx2+βx+γ To determine whether the mean value theorem is applicable and to find…

Q: (2x + 3y) if 0< x< 1 and 0< y) = otherwise

A:

Q: Statistical Literacy At State College all classes start on the hour, with the earliest start time at…

A: From the provided information,The percentages preferring the listed start times are as follow:Start…

Q: a. What is a? b. What is E(X)? C. What is Var(X)?

A: Here given probability density function of random variable.