Ask Questions, Get Answers
Menu
X
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 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
15 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$80$)$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q1
q1-2
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}}$$e^{-\Large\frac{1}{2}z^2};-\infty < Z < \infty$
$Z\sim N(0,1)$
Step 1:
$X\sim N(80,10^2)$
Let $Z=\large\frac{X-\mu}{\sigma}$
$\qquad=\large\frac{X-80}{10}$ be the standard normal variate.
Step 2:
$P(X\leq 80)$
When $X=80$
$Z=0$
http://clay6.com/mpaimg/10.5_q2.jpg
$\therefore P(X\leq 80)=P(Z\leq 0)$
$\qquad\qquad\;\;\;\;=0.5$
answered
Sep 19, 2013
by
sreemathi.v
Please
log in
or
register
to add a comment.
Related questions
0
votes
1
answer
If $X$ a normal variate with mean $80$ and standard deviation $10$ compute the following probabilities by standardizing. $P(X\leq$100$)$
asked
Apr 22, 2013
by
poojasapani_1
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q1
q1-1
modelpaper
mar-2006
0
votes
1
answer
If $X$ a normal variate with mean $80$ and standard deviation $10$ compute the following probabilities by standardizing.$P(85\leq$X$\leq$95$)$
asked
Apr 22, 2013
by
poojasapani_1
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q1
q1-5
modelpaper
mar-2006
0
votes
1
answer
If $X$ a normal variate with mean $80$ and standard deviation $10$ compute the following probabilities by standardizing. $P(65\leq$X$\leq$100$)$
asked
Apr 22, 2013
by
poojasapani_1
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q1
q1-3
modelpaper
mar-2006
0
votes
1
answer
If $X$ a normal variate with mean $80$ and standard deviation $10$ compute the following probabilites by standardizing. $P(70$$<$X$)$
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
...