Register

Continous Probability

2,174 views
2 2 votes
Find the value of $\lambda$ such that function f(x) is valid probability density function

$f(x)=\lambda (x-1)(2-x)$ for $1 \leq x \leq 2$

$=0$ otherwise

 

My $\lambda$ is coming to be $- \frac{6}{5}$

Am I correct?

Please log in or register to answer this question.

Voting & Accepting an answer helps improve the community
Answer:
← Previous · GATE CSE Engineering...Next → · STORAGE ALLOCATION
← Previous in category · ProbabilityNext in category → · #made easy test
Position:
Show:

Related questions

32 32 votes
3 answers 3 answers
15.2k
15.2k views
gatecse asked Sep 21, 2014
15,249 views
GATE CSE 2005 | Question: 12, ISRO2009-64
Let $f(x)$ be the continuous probability density function of a random variable $x$, the probability that $a < x \leq b$, is :$f(b-a)$$f(b) - f(a)$$\int\limits_a^b f(x) dx...
61 61 votes
5 answers 5 answers
14.5k
14.5k views
Kathleen asked Sep 17, 2014
14,477 views
GATE CSE 2003 | Question: 60, ISRO2007-45
A program consists of two modules executed sequentially. Let $f_1(t)$ and $f_2(t)$ respectively denote the probability density functions of time taken to execute the two ...
10 10 votes
1 1 answer
1.1k
1.1k views
GO Classes asked May 5
1,051 views
GO Classes DPP | GATE CS, DA | Probability & Statistics | Expected Value with Density
A machine produces a random score $T$ between $0$ and $2$ with probability density function $$f(t)= \begin{cases}\frac{3t^2}{8}, & \text { if } 0<t<2 \\\\ 0, & \text { ot...
7 7 votes
1 1 answer
702
702 views
GO Classes asked May 5
702 views
GO Classes DPP | GATE CS, DA | Probability & Statistics | Conditional Density Functions
Let $Y$ be a continuous random variable with density,$$f_Y(y)= \begin{cases}2y, & \text { if } 0<y<1 \\\\ 0, & \text { otherwise }\end{cases}$$Given $Y=y$, the conditiona...