Question: Problem 9 The pdf of a continuous random variable X is given by fx(x) =2c if1 1).

Problem 9 The pdf of a continuous random variable X is given by fx(x) =2c if1

(and equals zero for other values of x). (a) Find c and plot the density. (b) Compute and plot the cumulative distribution function of X.

(c) Find P(|X| > 1/2), P(X = 0) and P(X > 1).

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:

The PDF of a continuous random variable X is given by: fx() = ae-x/4 A) What is the value of a? B) Calculate P[-1

Q:

Compute the expected value and variance for the PDF given in Problem A.19. Problem A.19 The PDF of a continuous random variable X is as follows: f(X) = c(4x - 2x2) 0 x 2 = 0 otherwise

Q:

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

Q:

............. 5. (a) The pdf of a continuous random variable X is given by 1/7, 2 S a: S 5 fX (13) = 0, elsewhere Find 1) 1306 > 1) ii)P(sin(7rX) S 0) (b) A bag contains 25 marbles. Each marble is...

Q:

The PDF of a continuous random variable X is as follows: f(X) = c(4x - 2x2) 0 x 2 = 0 otherwise a. For this to be a proper density function, what must be the value of c? b. Find P(l

Q:

In Problems, a PDF for a continuous random variable X is given. Use the PDF to find (a) P(X ¥ 2), (b) E(X), (c) The CDE 1. 2. (x) = , if 0 20 f(x)otherwise f r)40 if 0, otherwise

Q:

Suppose that the density (pdf) function for a random variable X is given by f(X) = -- for OS X $ 2 and f(x) =0 otherwise. What is the probability P(0.5

Q:

Suppose that the density (pdf) function for a random variable X is given by f(x) = for 0 x2 and f(x) = 0 otherwise. What is the probability P(0.5 x 1)? Round your answer to four decimal places. 2

Q:

Q4 (10 points) The PDF of a continuous random variable X is given by: f X(x) = ace\"'4' x 6 9R A) What is the value of a? B) Calculate P[1

Q:

12. (4 pts) The density function of a continuous random variable X is given by f(x) = x/9 for 0 x 3 (and zero outside this interval). Calculate the mean and variance of X.

Q:

What is the pH of the buffer that results when 2.04 g of NH3 and 6.38 g of NH4Cl are dissolved in 250 mL water?

Q:

A particle in the harmonic oscillator potential starts out in the state ( x, 0 ) = A [ 3 0 ( x ) + 4 1 ( x ) ] a. Find A b. Construct ( x, t ) and l ( x, t ) l 2

Q:

Exercise 6-54 Nonuniform Inputs, Transferred-In Cost Leche Dairy produces a variety of dairy products. In Department 12, cream (transferred in from Department 6) and other materials (sugar and...

Q:

2023 1040 form 1.Phillip and Claire are married and file a joint return. Phillip is self-employed as a real estate agent, and Claire is a flight attendant. Phillip and Claire have three dependent...