Question: Given ()= on 1 4 (a) Find such that () is a probability density function over the given interval. (Write your answer as a fraction

Given ()= on 1 4 (a) Find such that () is a probability density function over the given interval. (Write your answer as a fraction in the simplest form). [3 points] (b) Using the probability density function, () in part (a), find the probability, P (12) where X is a continuous random variable. (Provide exact answer).

Note: Show all your work. Clearly state the formula you used and how you calculated the result if you used the calculator.

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!

Page 2 ECS708 (2016) Question 1 a) Some emails received by users are spams, attempting to gain illicit access to employee's accounts. You are building a classifier to detect such illicit emails. You...

3) Explain (1) Marginal distribution (2) Conditional Probability & Independence 120] 1. Let X and Y have the joint probability density function given by f (1) Marginal distribution (2) Conditional...

please answer this True or False. Write TRUE if the statement is unconditionally true. Otherwise, write FALSE. (1 pt each) 1. As the degrees of freedom increases, the probability density function of...

4. Let B be the region on the right by the graph of y : ln(x2 1), bounded above by y = 3, bounded on the left by the yaxis, and bounded below by the x-axis. The function y = ln(x2 1) is depicted...

Please answer and show work The function f' defined by the formula f'(x) = lim f(xth)-f(x) h is called the derivative of f with respect to x. The derivative of a function f can be interpreted either...

Please help GO/ D 100 @ Details Let Use the limit definition of the derivative to find (1) /'(0) () s'(2) - (I) S' (7) - To avoid calculating four separate limits, I suggest that you evaluate the...

Covariance 1. Let X and 4 be continuous random variables with joint probability density function given by J ( x , y ) = 1 192 ( x ty ) on the region given by DE x24, 0 = 4 =8. Given that ELx] = 2....

Day #5 Homework On questions 1 -4, give the domain and range of each graphed function using interval notation. 1 . 2. 3 . 4. Domain: Domain: Domain: Domain: Range: Range: Range: Range: For problems 5...

QUESTION 1 1 POINT Given that Cheryl is collecting data on car color, what type of data is she working with? Select the correct answer below: qualitative discrete quantitative continuous quantitative...

\fVerify that the equation is an Identity. Show that -2 tan x secx. 1- cscx 1+ cscx Statement Rule Algebra Pythagorean Select Rule OMBO hp- 12 13 - 14 - 15 16 Verify that the equation is an Identity....

For the quarter ended March 31, 2017, Croix Company accumulates the following sales data for its newest guitar, The Edge: $315,000 budget; $305,000 actual. Prepare a static budget report for the...

A solenoid with 495 turns has a length of 6.50 cm and a cross-sectional area of 3.10 x 10-9 m2. Find the solenoid's inductance and the average emf around the solenoid if the current changes from...

A proper estate plan will include all of the following documents except? Question 1 options: WILL FINANCIAL POWER OF ATTORNEY BENEFICIARY DEED HEALTHCARE POWER OF ATTORNEY

n one page maximum, write in your own words what has happened THS WEEK in the political and economic arena a) in Turkey, b) in the Region (Middle East, Russia, neighbouring countries), c) in the...

3. Mention three examples where you distorted information that you had taken from your memory and where others made you aware of the fact that you had distorted the information. Did it create a...

4. Think of two units of information you have received during the course of the day. Connect these two units of information and try to create completely new information that did not exist in the...

5. What do you think is meant by the phrase giving priority to what we already know?