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Recent questions tagged ch13
Questions
True or False: If A and B are mutually exclusive events,then they will be independent also.
cbse
class12
ch13
q96
p285
true-or-false
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
True or False: If A and B are independent events,then A and B are also independent.
cbse
class12
ch13
q95
p285
true-or-false
exemplar
easy
sec-a
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
True or False: Let P(A)>0 and P(B)>0.Then A and B can be both mutually exclusive and independent.
cbse
class12
ch13
q94
p285
true-or-false
exemplar
concepts
math
sec-a
asked
Jan 10, 2013
by
sreemathi.v
1
answer
A box has 100 pens of which 10 are defective.What is the probability that out of sample of 5 pens drawn one by one with replacement at most one is defective?
cbse
class12
ch13
q93
p285
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
A and B are two students.Their chances of solving a problem correctly are $\Large\frac{1}{3}$ and $\Large\frac{1}{4}$,respectively.If the probability of their making a common error is ,$\Large\frac{1}{20}$ and they obtain the same answer,then the probability of their answer to be correct is
cbse
class12
ch13
q92
p285
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
In a college,30% students fail in physics,25% fail in mathematics and 10% fail in both.One student is chosen at random.The probability that she fails in physics if she has failed in mathematics is
cbse
class12
ch13
q91
p285
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
Suppose a random variable X follows the binomial distribution with parameters n and p,where 0 < p < 1.If P(x=r)/P(x=n-r) is independent of n and r ,then P equals
cbse
class12
ch13
q90
p284
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
For the following probability distribution:
cbse
class12
ch13
q89
p284
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
For the following probability distribution:
cbse
class12
ch13
q88
p284
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
The probability distribution of a discrete random variable X is given below:
cbse
class12
ch13
q87
p284
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
The probability that a person is not swimmer is 0.3.The probability that out of 5 persons 4 are swimmers is
cbse
class12
ch13
q86
p284
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
The probability of guessing correctly at least 8 out of 10 answers on a true-false type examination is
cbse
class12
ch13
q85
p283
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
Two cards are drawn from a well shuffled deck of 52 playing cards with replacement.The probability,that both cards are queens ,is
cbse
class12
ch13
q84
p283
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
Which one is not a requirement of a binomial distribution?
cbse
class12
ch13
q83
p283
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
Two dice are thrown.If it is known that the sum of numbers on the dice was less than 6,the probability of getting a sum 3,is
cbse
class12
ch13
q82
p283
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
Eight coins are tossed together.The probability of getting exactly 3 heads is
cbse
class12
ch13
q81
p283
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
A flash light has 8 batteries out of which 3 are dead.If two batteries are selected without replacement and tested,the probability that both are dead is
cbse
class12
ch13
q80
p283
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
A box contains 3 orange balls,3 green balls and blue balls.three balls are drawn at random from the box without replacement .The probability of drawing 2 green balls and one blue ball is
cbse
class12
ch13
q79
p283
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
A die is thrown and a card is selected at random from a deck of 52 laying cards.The probability of getting an even number on the die and a spade card is
cbse
class12
ch13
q78
p282
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
Assume that in a family,each child is equally likely to be a boy or a girl.A family with three children is chosen at random.The probability that the eldest child is a girl given that the family has at least one girl is
cbse
class12
ch13
q77
p282
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
Three persons,A,B and C,fire at a target in turn,starting with A.Thier probability of hitting the target are 0.4,0.3 and 0.2 respectively.The probability of two hits is
cbse
class12
ch13
q76
p282
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
A bag contains 5 red and 3 blue balls.The probability that exactly two of the three balls were red,the first ball being red,is
cbse
class12
ch13
q75
p282
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
A bag contains 5 red and 3 blue balls.If 3 balls are drawn at random without replacement the probability of getting exactly one red ball is
cbse
class12
ch13
q74
p282
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
Two events E and F are independent.If $P(E)=0.3,P(E\cup F)=0.5$,then P(E|F) - P(F|E) equals
cbse
class12
ch13
q73
p282
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
0
answers
If the events A and B are independent ,then $P(A\cap B)$ is equal to
cbse
class12
ch13
q72
p281
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
Let A and B be two events .Such that $P(A)=\Large\frac{3}{8}$,$P(B)=\Large \frac{5}{8}$ and $P(A\cup B)=\Large\frac{3}{4}$.Then P(A|B).P(A|B) is equal to
cbse
class12
ch13
q71
p281
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
If two events are independent,then
cbse
class12
ch13
q70
p281
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
If A and B are two independent events with $P(A)=\Large \frac{3}{5}$ and $P(B)=\Large \frac{4}{9},$then $P(A\cap B)$ equals
cbse
class12
ch13
q69
p281
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
If A and B are such events that $P(A)>o$ and $P(B)\neq 1$,then P(A|B) equals
cbse
class12
ch13
q68
p281
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
Let $P(A)=\Large\frac{7}{13}$,$P(B)=\Large\frac{9}{13}$ and $P(A\cap B)=\Large\frac{4}{13}$. Then P(A|B) is equal to
cbse
class12
ch13
q67
p281
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
If A and B are two events such that $P(A)=\Large\frac{1}{2},\normalsize P(B)=\Large\frac{1}{3},\normalsize P(A/B)=\Large \frac{1}{4},$then $P(A'\cap B')$ equals
cbse
class12
ch13
q60
p279
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
If $P(A)=\Large\frac{2}{5},\normalsize P(B)=\Large\frac{3}{10}$ and $P(A\cap B)=\Large\frac{1}{5},$then P(A|B).P(B'|A') is equal to
cbse
class12
ch13
q59
p279
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
If $P(A)=\Large\frac{3}{10},\normalsize P(B)=\Large\frac{2}{5}$ and $P(A\cap B)=\Large\frac{3}{5},$then $P(B|A)+P(A|B)$ equals
cbse
class12
ch13
q58
p279
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
If $P(A\cap B)=\Large\frac{7}{10}$,and $P( B)=\Large\frac{17}{20}$,then P(A|B) is equals
cbse
class12
ch13
q57
p279
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
If $P(A)=\Large\frac{4}{5}$,and $P(A\cap B)=\Large\frac{7}{10}$,then P(B|A) is equal to
cbse
class12
ch13
q56
p279
objective
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
There are 5 cards numbered 1 to 5,one number on one card.Two cards are drawn at random without replacement.Let X denote the sum of the numbers on two cards drawn.Find the mean and variance of X.
cbse
class12
ch13
q55
p278
exemplar
sec-a
easy
math
asked
Jan 10, 2013
by
sreemathi.v
1
answer
A die is tossed twice.A 'success' is getting an even number on a toss.Find the variance of the number of successes.
cbse
class12
ch13
q54
p278
exemplar
sec-a
easy
math
asked
Jan 9, 2013
by
sreemathi.v
1
answer
Two cards are drawn successively without replacement from a well shuffled deck of cards.Find the mean and standard variation of the random variable X where X is the number of aces.
cbse
class12
ch13
q53
p278
exemplar
sec-b
medium
math
asked
Jan 9, 2013
by
sreemathi.v
1
answer
A bag contains (2n+1) coins.It is known that n of these coins have a head on both sides where as the rest of the coins are fair.A coin is picked up at random from the bag and is tossed.If the probability that the toss results in a head is $\Large \frac{31}{42}$,determine the value of n.
cbse
class12
ch13
q52
p278
exemplar
sec-b
medium
math
asked
Jan 9, 2013
by
sreemathi.v
1
answer
The probability distribution of a random variable x is given as under:\[P(X=x)=\left \{\begin{array}{1 1}kx^2 & for\;x=1,2,3\\2kx & for\;x=4,5,6\\0 & otherwise\end{array}\right.\]Where k is a constant.Calculate\[(i)\;E(X)\quad(ii)\;E(3X^2)\quad(iii)\;P(X\geq 4)\]
cbse
class12
ch13
q51
p278
exemplar
sec-c
difficult
math
asked
Jan 9, 2013
by
sreemathi.v
1
answer
The probability distribution of a discrete random variable X is given as under:
cbse
class12
ch13
q50
p278
exemplar
sec-b
medium
math
asked
Jan 9, 2013
by
sreemathi.v
1
answer
Let X be a discrete random variable whose probability distribution is defined as follows:\[P(X=x)=\left \{\begin{array}{1 1}k(x+1) & for\;x=1,2,3,4\\2kx & for\;x=5,6,7\\0 & otherwise\end{array} \right.\]where k is a constant. Calculate\[(i)\;the\;value\;of\;k\quad(ii)\;E(X)\quad(iii)\;standard\;deviation\;of\;X\]
cbse
class12
ch13
q49
p277
exemplar
sec-c
difficult
math
asked
Jan 9, 2013
by
sreemathi.v
1
answer
An item is manufactured by three machines A,B and C.Out of the total number of items manufactured during a specified period,50% are manufactured on A,30% on B and 20% on C.2% of the items produced on A and 2% of items produced on B are defective,and 3% of these produced on C are defective.All the items are stored at one godown.One item is drawn at random and is found to be defective.What is the probability that it was manufactured on machine A?
cbse
class12
ch13
q48
p277
exemplar
sec-b
medium
math
asked
Jan 9, 2013
by
sreemathi.v
1
answer
By examining the chest X ray,the probability that TB is detected when a person is actually suffering is 0.99.The probability of an healthy person diagnosed to have TB Is 0.001.In a certain city,1 in 1000 people suffers from TB.A person is selected at random and is diagnosed to have TB.What is the probability that he actually has TB?
cbse
class12
ch13
q47
p277
exemplar
sec-b
medium
math
asked
Jan 9, 2013
by
sreemathi.v
1
answer
There are three urns containing 2 white and 3 black balls,3 white and 2 black balls,and 4 white and 1 black balls,respectively.There is an equal probability of each urn being chosen.A ball is drawn at random from the chosen urn and it is found to be white.find the probability that the ball drawn was from the second urn.
cbse
class12
ch13
q46
p277
exemplar
sec-a
medium
math
asked
Jan 9, 2013
by
sreemathi.v
1
answer
There are two bags,one of which contains 3 black and 4 white balls while the other contains 4 black and 3 white balls.A die is thrown.If it shows up 1 or 3,a ball is taken from the 1st bag,but it shows up any other number,a ball is chosen from the second bag.Find the probability of choosing a black ball.
cbse
class12
ch13
q45
p277
exemplar
math
sec-b
asked
Jan 9, 2013
by
sreemathi.v
1
answer
A letter is known to have come either from TATA NAGAR or from CALCUTTA.On the envelope,just two consecutive letter TA are visible.What is the probability that the letter came from TATA NAGAR.
cbse
class12
ch13
q44
p277
exemplar
math
sec-b
asked
Jan 9, 2013
by
sreemathi.v
2
answers
A shop keeper sells three types of flower seeds $A_1,A_2 and\;A_3$.They are sold as a mixture where the proportions arev4:4:2 respectively.The germination rates of the three types of seeds are 45%,60% and 35%.Calculate the probability\[\begin{array}{1 1}(i)\;of\;a\;randomly\;chosen\;seed\;to\;germinate\\(ii)\;that\;it\;will\;not\;germinate\;given\;that\;seed\;is\;of\;type\;A_3\\(iii)\;that\;it\;is\;of\;the\;type\;A_2\;given\;that\;a\;randomly\;chosen\;seed\;does\;not\;germinate\end{array}\]
cbse
class12
ch13
q43
p276
exemplar
sec-c
difficult
math
asked
Jan 9, 2013
by
sreemathi.v
1
answer
Three bags contain a number of red and white balls as follows:
cbse
class12
ch13
q42
p276
exemplar
sec-b
medium
math
asked
Jan 9, 2013
by
sreemathi.v
1
answer
Three bags contain a number of red and white balls as follows:
cbse
class12
ch13
q41
p276
exemplar
sec-c
difficult
math
asked
Jan 9, 2013
by
sreemathi.v
1
answer
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