For what value of c is the function ) = {1/X³ c/x³ if x 21 otherwise a probability density function? f(x)

Q: 1 The life (in years) of a laptop battery has a probability density function defined by P(x) = -z/3…

A: We have given that the life of a laptop battery has a pdf defined by,     P(x) = f(x) = (1/3)*e-x/3,…

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

A: We have given that  Probability density function pdf. f(x)=k  , [6,8] NOTE:- According to bartleby…

Q: If X is a continuous random variable with cumulative distribution function F(x), its median is…

A: Probability density function of X isf(x)=(1/9)x2 , 0<x<3

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: How to verify that this is function is a probability density function? Also, how would you find P(x5

A: Given the function: fx=π10sinπ5xif 0≤x≤50if x&lt;0 or x&gt;5

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

A: Obtain the expected value of E(X).   The expected value of E(X) is obtained below as follows:   From…

Q: 6. Roughly, speaking, we can use probability density functions to model the likelihood of an event…

A: None of the function in part a is a Probability density function. So part b can't be solved.…

Q: Suppose you have the probability density function a? if 1< < 7 { 114 f(æ) otherwise Find the…

A: Solution

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: 2. A random variable has a probability density function given by f(x) = { } ² 0 ≤ x ≤ 2, otherwise.…

A: Given that

Q: The probability density function of the X random variable like this. a. The probability of a random…

A: Givenf(x)=3x2   0&lt;x&lt;1 The cumulative distribution function is calculated as shown…

Q: Sketch the graph of the probability density function over the indicated interval. F(x) = 1/20, [0,…

A:

Q: 3. A function g(x) is a probability density function function g(x) = -&- 5z 5e is a probability…

A:

Q: Throughout this problem use the following function: if x 2 (a) For what value of c is f(x) a…

A: