The following function is a probability density function ,the value of k is *kx,x >1f(x) =otherwise)Your answer

Answered: Image /qna-images/answer/01f643ef-efaa-4dff-b29f-4358bec01af2.jpg

Answered: The following function is a probability…

Math

Probability

The following function is a probability density function ,the value of k is * f(2) = { * otherwise) kx-4 ,x >1 f(x)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...

See similar textbooks

Related questions

Q: 2 For the probability density function f 0) - 2ex20 - Ox<0 What is the distribution function f(2) d.…

A: cdfF(X)=∫x=0xf(x)dx

Q: A random variable X has the probability density function given by: x) = {k(1-x) (k(1-x) if-1≤x≤1…

A: Given, f(x)=k(1-x) -1≤x≤1 ∫-∞∞f(xi)=1

Q: X is a non-negative continuous random variable such that conditional on X being greater than a fixed…

Q: If f(x) = kx², determine the value of k that makes f(x) a probability density function on 0sxs4. The…

A: Given: f(x) = kx2

Q: Decide whether the functions defined as follows are probability density functions on the indicated…

A: The given function is fx=x216.

Q: Suppose lifetime of a particular type of old mobile, X, can be modelled by the probability density…

A: The probability density function of X is obtained below: f(x)=0.5e-0.5x;x≥0 where x is a random…

Q: 5. The probability density function of the time to failure of an copier (in hours) is -x/1000 f(x):…

A: Given,

Q: 7. If the joint probability density function of X and Y is 1 if 0 < x < 1; 0 < y < 1 f(x, y)…

Q: Find a value of k that will make f a probability density function on the indicated interval. ƒ(x) =…

A: To find: The value of k that make the function fx a probability density function: Given: The…

Q: Suppose that the random variable X has the probability density function ( c(1- x²) f(x) = for -1 < x…

Q: 3. Consider the function f (x) = B - x/4 for 1 s x s 2 and f (x) = 0 otherwise. Determine the value…

A: Explanation of the answer is as follows

Q: If the probability density function of X is : f(x) = e-x (1+e*)2 en what is the probability density…

A: It is an important part of statistics. It is widely used.

Q: Find the mean and variance of the continuous random variable X with probability density function…

Q: (1) Consider the plots of various functions, f(x), below. We can say for certain that one could not…

A: Let X be a continuous random variable that has the probability density function fx. Then, the…

Q: 1. Suppose that for a certain life the probability density function is fx®) = ; - ,x >0 1+x Find (i)…

Q: Find a value of k that will make f a probability density function on the indicated interval.ƒ(x) =…

A: The probability density function on the indicated interval is given by : fx=kx32 ; 4, 9 As we know…

Q: 3. Find the value of k so that f(x) for 1 < x < 2 is a probability density function. (x + 1)?

Q: 6. Suppose a college professor never finishes her lecture before the end of the class period, and…

A: We know that the total probability is always 1.Using that we…

Q: The probability density function for a continuous random variable X has the form, Find the…

Q: Let X be a random variable with probability density function 3 -x², -1 < x < 1 2 Which of the…

Q: 2 3. on the interval 0 < x < 3, use technology (or calculus) to 1 Given the pdf f(2) = -(--)…

Q: The probability density function of X, the lifetime of a certain type of electronic device (measured…

A: Solution

Q: A continuous random variable X has the probability density function if 0 < x < 8 { (8 – x) 32 f(x) =…

Q: Suppose that the random variable X has the probability density function for -1< x < 1 f(x) =| c(1-…

A: probability density function of random variable X;f(x)=c1-x2for -1≤x≤10elsewhere∵f(x) is p.d.f. then…

Q: 2- If the probability density function of X is : f(x) : -00 <x < ∞ (1+e-*)2 1 then what is the…

A: The distribution function of y is given by…

Q: (1) For a function f: R R to be a probability density function it must satisify some conditions.…

A: A function whose value at any given sample in the sample space provides a relative likelihood of the…

Q: Consider the probability density function if x -4 + (x+4)³ Find the median. Select one:

A: Given information: fx=1x+43 if x≥-4+12 Consider, Fx=∫-4+12xftdt =∫-4+12x1x+43dx =-12x+42…

Q: The probability density function of the age of the babies, x years, being brought to the clinic to…

A: since it has multiple parts , first three parts are answered in detail .Kindly repost for more help.

Q: The score of a student on a certain exam is going to be a number between 0 and 1. Think of it as the…

A: given that the score of a student on a certain exam is represent by a number between 0 and 1…

Q: Suppose that the random variable X has the probability density function for -1 s x s 1 c(1– x²) f(x)…

Q: Find a value of k that will make f a probability density function on the indicated interval.ƒ(x) =…

A: Consider the function: fx=kx12, x∈1, 4 and, for all other values of x, fx=0. Thus, fx=0,x∈-∞,…

Q: Suppose that X is a random variable with the probability density function given by - f(x) = {²01…

Q: Which of the following validates a probability density function?* all f(x) must be greater than or…

Q: The function 2x 1<x<2 f(x) other wise is a probability density function for a continous random…

A: Answer: ⊙ False

Q: Consider the probability density function if x 4. Find Var(X). Select one: 171 O O O

A: Given,f(x)=0if x<-2136(8+2x-x2)if -2≤x≤40if x>4

Q: Find a value of k that will make fa probability density function on the indicated interval. f(x) =…

A: See the answer below

Q: Show that the standard normal probability density function f(x) has points of inflection when x =…

A: Concept - Inflection point is obtained at f''(x) = 0.Given function f(x) - f(x) =…

Q: Verify Property 2 of the definition of a probability density function over the given interval. f(x)…

Q: Verify that p(x) = 9x¬10 is a probability density function on [1, ∞) and calculate its mean value.…

Q: Suppose lifetime of a particular type of old mobile, X, can be modelled by the probability density…

A: Given, f(x) = 0.5e-0.5x : x≥0 where x is a random variable follows exponential distribution with…

Q: Is 0.5e -0.5x a probability density function on the interval [0, ∞)? If so, what kind of proba-

A: The Exponential distribution is one of the continuous probability distribution and has one parameter…

Q: Which of the following is Not a property of probability a density function f(x)?

A: Properties of probability density function, f(x) :

Q: A continuous random variable has probability density function given by K(2x-3);1<x2 Find k if…

Q: Determine whether the following function is a probability density function. f(x) = 32 x, 0sxs8 Is…

A: Solution

Q: Suppose that X is the length of time (in minutes) that a customer queues in a bank. The probability…

A: Given,fX(x)=(36-x2)144 ; 0≤x≤60 ; otherwise

Q: Decide whether the functions defined as follows are probability density functions on the indicated…

A: Given: fx=2x2; -1, 1

Q: Let X be a random variable with range [0 , 1] and probability density function (pdf) is given as:…

A: Let X be a random variable with range [0,1]and probability density function (pdf) is given as:…

Q: A continuous random variable, X, has the following probability density function. k cos f(x) = { for…

A: Given: The distribution of X is fx=k×cosπx2 0≤x≤1

Q: let X denotes the percentage of time out of a 40-hour workweek that a call center agent is directly…

A: Given that f(x)=3x2, 0≤x≤1so the mean…

Question

100%

The following function is a probability density function ,the value of k is *
kx
,x >1
f(x) =
otherwise)
Your answer

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Multivariate Distributions and Functions of Random Variables$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the conditional probability of the event E, getting a six, given that the event F, getting an even number, has occurred is P(EF)=___________.
Recall that the general form of a logistic equation for a population is given by P(t)=c1+aebt , such that the initial population at time t=0 is P(0)=P0. Show algebraically that cP(t)P(t)=cP0P0ebt .
A Troublesome Snowball One winter afternoon, unbeknownst to his mom, a child bring a snowball into the house, lays it on the floor, and then goes to watch T.V. Let W=W(t) be the volume of dirty water that has soaked into the carpet t minutes after the snowball was deposited on the floor. Explain in practical terms what the limiting value of W represents, and tell what has happened physically when this limiting value is reached.
Consider the function given below:f(x) = kx2 0 < x < 2.13What must be the value k so that f(x) is a valid probability density function?
The likelihood of a certain brand of tires wearing out is represented by the followingfunction.f(x) = (a · xekx , if x 00 , otherwisewhere x is in thousands of miles. Note that f is not an exponential function.1. Choose a, in terms of k, so that f is a probability density function.
Consider the following constant function: f(x) = 3/4 If this function represents a probability density function, which of the following can be a set of realized values? A. 2/3 ≤ x ≤ 2 B. 1/4 ≤ x ≤ 1 C. 3 ≤ x ≤ 4 D. 1/2 ≤ x ≤ 3/2
In each of the following cases find all values of b for which the given function is a probability density function. a. f(x)= {(x^2)-b, if 1<x<3. 0, otherwise. b. h(x)= {cosx, if -b<x<b. 0, otherwise.
Find the value of k for which the following function would be a valid probability density function f(x)=k(x²+1) with 1 ≤x≤4 or f(x) =0 of which is otherwise a. Calculate P(x=3) b. Calculate P(2 ≤ x ≤ 3)
Find a value of k that will make f a probability density function on the indicated interval.ƒ(x) = kx; [2, 3]
In the question given as follows, (a) show that the nonnegative function is a probability density function, and (b) find P(0 x 6). see the equation as attached here