Ask Questions, Get Answers
Menu
X
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
5 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
studyplans
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
5 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
mobile
exams
ask
sample papers
tutors
pricing
sign-in
Download our FREE mobile app with 1000+ tests for CBSE, JEE MAIN, NEET
X
Search
Topics
Want to ask us a question?
Click here
Browse Questions
Student Questions
Ad
Home
>>
TN XII Math
>>
Probability Distribution
0
votes
If $X$ a normal variate with mean $80$ and standard deviation $10$ compute the following probabilities by standardizing. $P(X\leq$100$)$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q1
q1-1
modelpaper
mar-2006
Share
asked
Apr 22, 2013
by
poojasapani_1
retagged
Apr 30, 2014
by
meena.p
Please
log in
or
register
to add a comment.
Can you answer this question?
Do not ask me again to answer questions
Please
log in
or
register
to answer this question.
1 Answer
0
votes
Toolbox:
Standard normal distribution:
In a standard normal distribution $\mu=0,\sigma ^2=1$
The random variable $X$ can be converted to the standard normal variable $Z$ by the transformation
$Z=\large\frac{X-\mu}{\sigma}$
The probability density function $Z$ is $\phi(z)=\large\frac{1}{\sqrt{2\pi}}$$e^{-\Large\frac{1}{2}z^2};-\infty < Z < \infty$
$Z\sim N(0,1)$
Step 1:
$X\sim N(80,10^2)$
Let $Z=\large\frac{X-\mu}{\sigma}$
$\qquad=\large\frac{X-80}{10}$ be the standard normal variate.
Step 2:
$P(X\leq 100)$ When $X=100,Z=\large\frac{100-80}{10}$$=2$
$\therefore P(X\leq 100)=P(Z\leq 2)=0.5$+area beneath the curve between $Z=0$ and $Z=2$
http://clay6.com/mpaimg/10.5_q1.jpg
$\Rightarrow 0.5+0.4772=0.9772$
answered
Sep 19, 2013
by
sreemathi.v
Please
log in
or
register
to add a comment.
Related questions
0
votes
1
answer
If $X$ a normal variate with mean $80$ and standard deviation $10$ compute the following probabilities by standardizing. $P(65\leq$X$\leq$100$)$
asked
Apr 22, 2013
by
poojasapani_1
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q1
q1-3
modelpaper
mar-2006
0
votes
1
answer
If $X$ a normal variate with mean $80$ and standard deviation $10$ compute the following probabilities by standardizing.$P(X\leq$80$)$
asked
Apr 22, 2013
by
poojasapani_1
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q1
q1-2
modelpaper
mar-2006
0
votes
1
answer
If $X$ a normal variate with mean $80$ and standard deviation $10$ compute the following probabilities by standardizing.$P(85\leq$X$\leq$95$)$
asked
Apr 22, 2013
by
poojasapani_1
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q1
q1-5
modelpaper
mar-2006
0
votes
1
answer
If $X$ a normal variate with mean $80$ and standard deviation $10$ compute the following probabilites by standardizing. $P(70$$<$X$)$
asked
Apr 22, 2013
by
poojasapani_1
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q1
q1-4
modelpaper
mar-2006
0
votes
1
answer
The mean weight of $500 $ male students in a certain college in $151$ pounds and the standard deviation is $15$ pounds. Assuming the weights are normally distributed, find how many students weigh more than $185$ pounds
asked
Apr 22, 2013
by
poojasapani_1
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q5
q5-2
modelpaper
mar-2006
mar-2009
0
votes
1
answer
The mean weight of $500 $ male students in a certain college in $151$ pounds and the standard deviation is $15$ pounds. Assuming the weights are normally distributed, find how many students weigh between $120$ and $155$ pounds
asked
Apr 22, 2013
by
poojasapani_1
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q5
q5-1
modelpaper
mar-2006
mar-2009
0
votes
1
answer
Suppose that the amount of cosmic radiation to which a person is exposed when flying by jet across the united states is a random variable having a normal distribution with a mean of $4.35 m$ rem and standard deviation of $0.59m$ rem. What is the probability that a person will be exposed to than $5.20m$ rem of cosmic radiation of such flight.
asked
Apr 22, 2013
by
poojasapani_1
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q3
modelpaper
jun-2007
Ask Question
Tag:
Math
Phy
Chem
Bio
Other
SUBMIT QUESTION
►
Please Wait
Take Test
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
5 Test Series
JEEMAIN
350+ TESTS
NEET
320+ TESTS
CBSE XI MATH
50+ TESTS
CBSE XII MATH
80+ TESTS
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...