Question: LetX be a continuous random variable with a PDF of the form fX (x)= {c(1x), ifx[0,1], x, otherwise.} c = ? P(X=1/2) = ? P(X{1/k:kinteger,k2})=

LetX

be a continuous random variable with a PDF of the form

fX (x)=

{c(1x), ifx[0,1],

x, otherwise.}

  1. c = ?
  2. P(X=1/2) = ?
  3. P(X{1/k:kinteger,k2})= ?
  4. P(X<= 1/2) = ?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

EXERCISES 7. Let X be a random variable with pdf f(x) = 4x if 0

Q:

Unit II Continuous Probability Distributions: The Normal Distribution Normal Dist1 Towards the Meaning of Continuous Probability Distribution Functions: When we introduced probabilities, we spoke of...

Q:

For continuous random variables X and Y , taking on continuous values x and y respectively with probability densities p(x) and p(y) and with joint probability distribution p(x, y) and conditional...

Q:

A large national survey conducted in 1995 indicated that 18% of American adults had ever been tested for HIV at some point in their life. Suppose that in 2016 we take a simple random sample of 100...

Q:

(a) Let Y be a continuous random variable with distribution Uniform(a, b), for some a (a) Let Y be a continuous random variable with distribution Uniform(a, b), for some a

Q:

1. [Compulsory] Let X be a Bernoulli random variable with pmf 1 -p if x =0 p(x) =P if x = 1. O if x # 0, 1 Compute (a) E(X) , (b) E(X2 ) , (c) V(X), (d) E(X30 ) 2. [Compulsory] Let X be a continuous...

Q:

5. [9 points] (Mixture Distributions) Consider two continuous random variables Y and Z, and a random variable X that is equal to Y with probability p and Z with probability 1 - p. (One way to think...

Q:

he PDF of a continuous random variable X is given by fX (x) = kx2 0

Q:

5. [9 points] (Mixture Distributions) Consider two continuous random variables Y and Z, and a random variable X that is equal to Y with probability p and Z with probability 1 p. (One way to think...

Q:

The function should have the side effect of reversing the order of the bits in the n contiguous bytes, seen as a bitstring of length 8n. For example, the first bit of the first char should be swapped...

Q:

Explain which partitioning strategy is suitable to execute following queries: Q1: The organization wants to improve the manageability of displaying the details of the employees who are working in a...

Q:

An online survey of CFA Institute members was conducted to gather feedback on market sentiment, performance, and market integrity issues in October 2013. Members were asked to indicate the most...

Q:

S A B , ABC A 1 , | 2 | B 3 , 4 B 5 Bu gramer ile hangisi retilemez ? a . 1 3 1 3 5 b . 4 C . 1 2 5 d . 1 4 2 3 5 e . 1 4 5

Q:

Roddie is 30 years old. He was demoted from his job as a manager at Big Trucks, a company with 10,000 employees. He was replaced by Bambi, a 45-year-old. Roddie was told that he was a little too...

Q:

2. Describe a situation from your own everyday life where it is clear that the situation in its consequence becomes the way you define it.

Q:

5. What do we mean when we say that social facts are mental constructions? Explain this with an example from your own everyday life.

Q:

4. What is meant by the following statement, What we take for granted in a social situation may actually prove to be mechanisms that govern how we evaluate and act in the situation?