Let f (x) = c/(1 + x 2 ). (a) For what value of c is f
Question:
Let f (x) = c/(1 + x2).
(a) For what value of c is f a probability density function?
(b) For that value of c, find P (-1 < X < 1).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 69% (13 reviews)
a In general we must satisfy the two conditions that are mentioned before Example 1namely 1 x ...View the full answer
Answered By
Vikash Gupta
I am graduated in Physics in 2018, from KIRORIMAL COLLEGE, University of Delhi. Now I am persuing Master's degree in physics. I like to do physics problems. I have experience of 1 year in tutoring. I think Physics is the only subject where you understand things,how they are happening . In physics you learn Maths and apply it. So I would like to join your platform to solve many Physics problems.
5.00+
5+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Let f (x) = cx + ln (cos x). For what value of c is f' (/4) = 6?
-
For what value of c is the function f(x) = { c/x2 if x 1 0 otherwise a probability density function?
-
For what value of c is the function f(x) = { c/x3 if x 1 0 otherwise a probability density function?
-
Suppose 2 x - T f(x) -1-cos z for all real numbers z. Find lim f(x) PIK 2) Use the Squeeze Theorem to evaluate the limit lim 2 sin()
-
The risk-free rate of return, kRF, is 11 percent; the required rate of return on the market, kM, is 14 percent; and Upton Company's stock has a beta coefficient of 1.5. a. If the dividend expected...
-
3. Mr. Shanmugavel purchased (second hand) a machine for Rs. 8,000 on 1st April, 2001. He spent Rs. 3,500 on its overhaul and installation. Depreciation is written off @ 10% p.a. on the original...
-
How could you use expectancy theory to increase your own motivation level? LO.1
-
Usury laws place a ceiling on interest rates that lenders such as banks can charge borrowers. Why would we expect low-income households in states with usury laws to have significantly lower levels of...
-
The final product (bags of crackers) requires two direct materials: flour and packaging. Flour 1.5 pounds of flour are required for each bag of crackers. Management desires to have materials on hand...
-
Maben Company was started on January 1, Year 1, and experienced the following events during its first year of operation: 1. Acquired $30,000 cash from the issue of common stock. 2. Borrowed $40,000...
-
The density function f(x) = e 3-x /(1 + e 3-x ) 2 is an example of a logistic distribution. (a) Verify that f is a probability density function. (b) Find P(3 < X < 4). (c) Graph f. What does the mean...
-
An online retailer has determined that the average time for credit card transactions to be electronically approved is 1.6 seconds. (a) Use an exponential density function to find the probability that...
-
Explain why the nurses were motivated to contact the labor union using Herzbergs Two- Factor Theory. A small group of nurses at a large community hospital were unhappy about their work environment...
-
I have attached a case study, primarily based on your textbook chapter reading assignments. The background material for the case also references chapters 3 and 15, not assigned for this course....
-
On December 1 , 2 0 2 5 , Sandhill Distributing Company had the following account balances.DebitCash$ 7 , 1 0 0 Accounts Receivable 4 , 5 0 0 Inventory 1 1 , 9 0 0 Supplies 1 , 2 0 0 Equipment 2 2 ,...
-
Cindy Greene works at Georgia Mountain Hospital. The hospital experiences a lot of business closer to summer when the temperature is warmer. Cindy is meeting with her supervisor to go over the budget...
-
Use z scores to compare the given values. Based on sample data, newborn males have weights with a mean of 3247.4 g and a standard deviation of 575.4 g. Newborn females have weights with a mean of...
-
Gignment FULL SCAL Exercise 4- The following ndependent situations require professional judgment for determining when to recognize revenue from the transactions. Identify when revenue should be...
-
Evaluate the integral, if it exists. 1x - 4|dx
-
Consider the advantages and disadvantages of extending property rights so that everyone would have the right to prevent people imposing any costs on them whatsoever (or charging them to do so).
-
(a) Set up an iterated integral in polar coordinates for the volume of the solid under the graph of the given function and above the region D. (b) Evaluate the iterated integral to find the volume of...
-
In the Midpoint Rule for triple integrals we use a triple Riemann sum to approximate a triple integral over a box B, where f(x, y, z) is evaluated at the center (xi(vector), yj(vector), zk(vector))...
-
In the Midpoint Rule for triple integrals we use a triple Riemann sum to approximate a triple integral over a box B, where f(x, y, z) is evaluated at the center (xi(vector), yj(vector), zk(vector))...
-
FINANCIAL STATEMENT ANALYSIS INSTRUCTIONS 1. PREPARE RATIO ANALYSIS REPORT ( word file) Format 1. Introduction 2. Importance of Financial Statements 3. Importance of Financial statement analysis and...
-
Let us assume that Europe is in recession, China's economy is slowing down, and the US economy is growing at 1-2%. Use these assumptions to invest in 4 ETFs (electronically traded funds). The 4 ETFs...
-
A section 83(b) election creates ordinary income at the time of the grant. Ture or False
Study smarter with the SolutionInn App