Email
Chat with tutors
Login
Ask Questions, Get Answers
Menu
X
home
ask
tuition
questions
practice
papers
mobile
tutors
pricing
X
Recent questions and answers in Probability Distribution
Questions
>>
TN XII Math
>>
Probability Distribution
A discrete random variable
x
has the following probability distributioxs. Find
p
(
3
<
x
<
7
)
X
:
0
1
2
3
4
5
6
7
8
P
(
X
)
:
a
3
a
5
a
7
a
9
a
11
a
13
a
15
a
17
a
tnstate
class12
bookproblem
q10
sec-1
exercise10-1
p203
q4
q4-3
modelpaper
mar-2007
answered
Aug 27, 2020
by
godfreymanchishi25
1
answer
A discrete random variable
x
has the following probability distributioxs.Find
p
(
x
<
3
)
X
:
0
1
2
3
4
5
6
7
8
P
(
X
)
:
a
3
a
5
a
7
a
9
a
11
a
13
a
15
a
17
a
tnstate
class12
bookproblem
c10
sec-1
exercise10-1
p203
q4
q4-2
modelpaper
mar-2007
answered
Feb 11, 2020
by
rashi.goyal2002
1
answer
Marks in an aptitude test given to
800
students of a school was found to be normally distributed.
10
%
of the students scored below
40
marks and
10
%
of the students scored above
90
marks. Find the number of students scored between
40
and
90
.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q7
modelpaper
jun-2006
answered
Sep 20, 2013
by
sreemathi.v
1
answer
If the hight of
300
students are normally distributed with mean
64.5
inches and standard deviation
3.3
inches,find the hight below which
99
%
of the student lie.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q6
answered
Sep 19, 2013
by
sreemathi.v
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
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q5
q5-2
modelpaper
mar-2006
mar-2009
answered
Sep 19, 2013
by
sreemathi.v
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
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q5
q5-1
modelpaper
mar-2006
mar-2009
answered
Sep 19, 2013
by
sreemathi.v
1
answer
The life of army shoes is normally distributed with mean
8
months and standard deviation
2
months. If
5000
pairs are issued, how many pairs would be expected to need replacement within
12
months.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q4
answered
Sep 19, 2013
by
sreemathi.v
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
0.59
m
rem. What is the probability that a person will be exposed to than
5.20
m
rem of cosmic radiation of such flight.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q3
modelpaper
jun-2007
answered
Sep 19, 2013
by
sreemathi.v
1
answer
If
Z
is a standard normal variate. Find the value of
c
for the following
P
(
Z
>
c
)
=
0.85
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q2
q2-3
answered
Sep 19, 2013
by
sreemathi.v
1
answer
If
Z
is a standard normal variate. Find the value of
c
for the following
P
(
−
c
<
Z
<
c
)
=
0.40
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q2
q2-2
answered
Sep 19, 2013
by
sreemathi.v
1
answer
If
Z
is a standard normal variate. Find the value of
c
for the following
P
(
0
<
Z
<
c
)
=
0.25
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q2
q2-1
answered
Sep 19, 2013
by
sreemathi.v
1
answer
If
X
a normal variate with mean
80
and standard deviation
10
compute the following probabilities by standardizing.
P
(
85
≤
X
≤
95
)
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q1
q1-5
modelpaper
mar-2006
answered
Sep 19, 2013
by
sreemathi.v
1
answer
If
X
a normal variate with mean
80
and standard deviation
10
compute the following probabilites by standardizing.
P
(
70
<
X
)
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q1
q1-4
modelpaper
mar-2006
answered
Sep 19, 2013
by
sreemathi.v
1
answer
If
X
a normal variate with mean
80
and standard deviation
10
compute the following probabilities by standardizing.
P
(
65
≤
X
≤
100
)
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q1
q1-3
modelpaper
mar-2006
answered
Sep 19, 2013
by
sreemathi.v
1
answer
If
X
a normal variate with mean
80
and standard deviation
10
compute the following probabilities by standardizing.
P
(
X
≤
80
)
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q1
q1-2
modelpaper
mar-2006
answered
Sep 19, 2013
by
sreemathi.v
1
answer
If
X
a normal variate with mean
80
and standard deviation
10
compute the following probabilities by standardizing.
P
(
X
≤
100
)
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q1
q1-1
modelpaper
mar-2006
answered
Sep 19, 2013
by
sreemathi.v
1
answer
The number of accidents in a year involving taxi drivers in a city follows a poisson distribution with mean equal to
3
out of
1000
taxi drivers find approximately the number of driver with more than
3
accidents in a year
[
e
−
3
=
0.0498
]
.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-4
p219
q5
q5-2
modelpaper
jun-2006
oct-2008
oct-2009
answered
Sep 19, 2013
by
sreemathi.v
1
answer
The number of accidents in a year involving taxi drivers in a city follows a poisson distribution with mean equal to
3
. Out of
1000
taxi drivers find approximately the number of driver with no accident in a year .
[
e
−
3
=
0.0498
]
.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-4
p219
q5
q5-1
modelpaper
jun-2006
oct-2008
oct-2009
answered
Sep 19, 2013
by
sreemathi.v
1
answer
Alpha particles are emitted by a radio active source at an average rate of
5
in a
20
minutes interval.Using poisson distribution find the probability that there will be at least
2
emission in a particular
20
minutes interval .
[
e
−
5
=
0.0067
]
.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-4
p219
q4
q4-2
answered
Sep 18, 2013
by
sreemathi.v
1
answer
Alpha particles are emitted by a radio active source at an average rate of
5
in a
20
minutes interval.Using poisson distribution find the probability that there will be
2
emission.
[
e
−
5
=
0.0067
]
.
tnstate
bookproblem
ch10
sec-1
exercise10-4
p219
q4
q4-1
answered
Sep 18, 2013
by
sreemathi.v
1
answer
20
%
of the bolts produced in a factory are found to be defective. Find the probability that in a sample of
10
bolts chosen at random exactly
2
will be defective using ,Poisson distribution.
[
e
−
2
=
0.1353
]
.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-4
p219
q3
q3-2
answered
Sep 18, 2013
by
sreemathi.v
1
answer
20
%
of the bolts produced in a factory are found to be defective. Find the probability that in a sample of
10
bolts chosen at random exactly
2
will be defective using ,Binomial distribution.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-4
p219
q3
q3-1
answered
Sep 18, 2013
by
sreemathi.v
1
answer
If the probability of a defective fuse from a manufactuning unit is
2
%
in a box of
200
fuses find the probability that more than
3
fuses are defective
[
e
−
4
=
0.0183
]
.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-4
p218
q2
q2-2
answered
Sep 18, 2013
by
sreemathi.v
1
answer
If the probability of a defective fuse from a manufactuning unit is
2
%
in a box of
200
fuses find the probability that exactly
4
fuses are defective
tnstate
class12
bookproblem
ch10
sec-1
exercise10-4
p218
q2
q2-1
answered
Sep 18, 2013
by
sreemathi.v
1
answer
Let
x
have a poisson distribution with mean
4
.Find
P
(
2
≤
X
<
5
)
[
e
−
4
=
0.0183
]
.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-4
p218
q1
q1-2
answered
Sep 18, 2013
by
sreemathi.v
1
answer
Let
X
have a poisson distribution with mean
4
.Find
(
i
)
P
(
X
≤
3
)
[
e
−
4
=
0.0183
]
.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-4
p218
q1
q1-1
answered
Sep 18, 2013
by
sreemathi.v
1
answer
In a hurdle race a player has to cross
10
hurdles. The probability that he will clear each hurdle is
5
6
. What is the probability that he will knock down less than
2
hurdles.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-3
p215
q6
answered
Sep 18, 2013
by
sreemathi.v
1
answer
The overall percentage of passes in a certain examination is
80
.If
6
candidates appear in the examination what is the probability that atleast
5
pass the examination.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-3
p215
q5
modelpaper
oct-2007
answered
Sep 18, 2013
by
sreemathi.v
1
answer
Four coins are tossed simultaneously .what is the probability of getting at most two heads
tnstate
class12
bookproblem
ch10
sec-1
exercise10-3
p215
q4
q4-3
modelpaper
mar-2008
answered
Sep 18, 2013
by
sreemathi.v
1
answer
Four coins are tossed simultaneously.what is the probability of getting at least two heads
tnstate
class12
bookproblem
ch10
sec-1
exercise10-3
p215
q4
q4-2
modelpaper
mar-2008
answered
Sep 18, 2013
by
sreemathi.v
1
answer
Four coins are tossed simultaneously .what is the probability of getting exactly
2
heads
tnstate
class12
bookproblem
ch10
sec-1
exercise10-3
p215
q4
q4-1
modelpaper
mar-2008
answered
Sep 18, 2013
by
sreemathi.v
1
answer
If on an average
1
ship out of
10
do not arrive safely to ports. Find the mean and the standard deviation of ship returning safely out of a total of
500
ships
tnstate
class12
bookproblem
ch10
sec-1
exercise10-3
p215
q3
answered
Sep 18, 2013
by
sreemathi.v
1
answer
A die is thrown
120
times and getting
1
or
5
is considered a success.Find the mean and variance of the number of successes.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-3
p215
q2
answered
Sep 18, 2013
by
sreemathi.v
1
answer
The mean of a binomial distribution is
6
and its standard deviation is
3
. Is this statement true or false?comment?
tnstate
class12
bookproblem
ch10
sec-1
exercise10-3
p215
q1
answered
Sep 18, 2013
by
sreemathi.v
1
answer
Find the mean and variance for the following probability density functions
f
(
x
)
=
{
x
e
−
x
,
if
x
>
0
0
,
otherwise
tnstate
class12
bookproblem
ch10
sec-1
exercise10-2
p211
q7
q7-3
modelpaper
mar-2006
oct-2007
mar-2008
answered
Sep 18, 2013
by
sreemathi.v
1
answer
Find the mean and variance for the following probability density functions
f
(
x
)
=
{
α
e
−
α
x
,
if
x
>
0
0
,
otherwise
tnstate
class12
bookproblem
ch10
sec-1
exercise10-2
p211
q7
q7-2
modelpaper
oct-2009
answered
Sep 17, 2013
by
sreemathi.v
1
answer
Find the mean and variance for the following probability density functions
f
(
x
)
=
{
1
24
,
-12
≤
x
≤
12
0
,
otherwise
tnstate
class12
bookproblem
ch10
sec-1
exercise10-2
p211
q7
q7-1
modelpaper
oct-2006
answered
Sep 17, 2013
by
sreemathi.v
1
answer
The probability distribution of a random variable
x
is given below:
X:
0
1
2
3
P(X=x):
0.1
0.3
0.5
0.1
If
Y
=
X
2
+
2
X
find the mean and variance of
Y
.
tnstate
class12
bookproblem
c10
sec-1
exercise10-2
p211
q6
modelpaper
jun-2008
answered
Sep 17, 2013
by
sreemathi.v
1
answer
In a gambling game a man wins Rs.
10
if he gets all heads or all tails and loses Rs.
5
if he gets
1
or
2
heads when
3
coins are tossed once. Find his expectation of gain.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-2
p211
q5
answered
Sep 17, 2013
by
sreemathi.v
1
answer
Two cards are drawn with replacement from a well shuffled deck of
52
cards. Find the mean and variance for the number of aces.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-2
p211
q4
answered
Sep 17, 2013
by
sreemathi.v
1
answer
In an entrance examination a student has to answer all the
120
questions. Each question has four options and only one option is correct. A student gets
1
mark for a correct answer and loses half mark for a wrong answer. What is the expectation of the mark scored by a student if he chooses the answer to each question at random?
tnstate
class12
bookproblem
ch10
sec-1
exercise10-2
p211
q3
modelpaper
jun-2007
answered
Sep 17, 2013
by
sreemathi.v
1
answer
Find the expected value of the number on a die when thrown.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-2
p211
q2
answered
Sep 17, 2013
by
sreemathi.v
1
answer
A die is tossed twice. A success is getting as odd number on a toss. Find the mean and the variance of the probability distribution of the number of successes.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-2
p211
q1
answered
Sep 17, 2013
by
sreemathi.v
1
answer
A random variable
x
has a probability density function
f
(
x
)
=
{
k
0<x<2n
0
elsewhere
Find
p
(
π
2
<
x
<
3
π
2
)
tnstate
class12
bookproblem
ch10
sec-1
p204
q10
q10-3
answered
Sep 17, 2013
by
sreemathi.v
1
answer
A random variable
x
has a probability density function
f
(
x
)
=
{
k
0<x<2n
0
elsewhere
Find
p
(
0
<
x
<
π
2
)
tnstate
class12
bookproblem
ch10
sec-1
exercise10-1
p204
q10
q10-2
answered
Sep 17, 2013
by
sreemathi.v
1
answer
A random variable
x
has a probability density function
f
(
x
)
=
{
k
0
<
x
<
2
n
0
else where
Find
k
tnstate
class12
bookproblem
ch10
sec-1
exercise10-1
p204
q10
q10-1
answered
Sep 17, 2013
by
sreemathi.v
1
answer
A continuous random variable
x
has the p.d.f defined by
f
(
x
)
=
{
c
e
−
a
x
0
<
x
<
∞
0
else where
Find the value of
c
if
a
>
0
tnstate
class12
bookproblem
ch10
sec-1
exercise10-1
p204
q9
answered
Sep 17, 2013
by
sreemathi.v
1
answer
For the distribution function given by
f
(
x
)
=
{
0
x<0
x
2
0
≤
x
≤
1
1
x>1
Find the density function. Also evaluate
p
(
x
>
0.75
)
tnstate
class12
bookproblem
ch10
sec-1
exercise10-1
p204
q8
q8-3
answered
Sep 17, 2013
by
sreemathi.v
1
answer
For the distribution function given by
f
(
x
)
=
{
0
x<0
x
2
0
≤
x
≤
1
1
x>1
Find the density function. Also evaluate
p
(
x
≤
0.5
)
tnstate
class12
bookproblem
ch10
sec-1
exercise10-1
p204
q8
q8-2
answered
Sep 17, 2013
by
sreemathi.v
1
answer
For the distribution function given by
f
(
x
)
=
{
0
x<0
x
2
0
≤
x
≤
1
1
x>1
Find the density function. Also evaluate p(0.5< x <0.75)
tnstate
class12
bookproblem
ch10
sec-1
exercise10-1
p204
q8-1
answered
Sep 16, 2013
by
sreemathi.v
1
answer
To see more, click for all the
questions in this category
.
Home
Ask
Tuition
Questions
Practice
Your payment for
is successful.
Continue
...
Please Wait