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Recent questions tagged additionalproblem
Questions
What are the odds in favour of getting a 3 in a throw of die? What are the odds against getting 3?
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q20
p42
math
asked
Feb 5, 2013
by
meena.p
0
answers
Shreya visits the cities A, B, C and D at random. What is the probability that he visits 1) A before B 2) A just before B.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q19
p42
math
asked
Feb 5, 2013
by
meena.p
0
answers
If A, B, C are events associated with random expt. Prove that \[ PtP(A\cup B\cup C)=P(A)+P(B)+P(C)-P(A\cap B)-P(A\cap C)-P(B\cap C)+P(A\cap B\cap C)\]
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q18
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
6 boys and 6 girls sit in a row at random. Find the probability that 1) The six girls sit together 2) The boys and girls sit alternatively.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q17
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
The mean and variance of a binomial distribution are $ 4 \;and\;\frac{4}{3}.\;Find\;P(X\geq1).$
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q16
p41
math
asked
Feb 5, 2013
by
meena.p
1
answer
Find the probability that sum of the numbers showing on the two dice is 8, given that atleast one dice doesnt show five.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q15
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
Find the probability of throwing almost 2 sixes in 6 throws of a single dice.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q14
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
Three cards are drawn with replacement from a well shuffled pack of cards. Find the probability that cards are a king, queen and a jack
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q13
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
$P(A)=\frac{1}{2},P(B)=\frac{7}{12}P(not A \;or\; nor B)=\frac{1}{4}$ state whether A and B are independent.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q12
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
Given that the two numbers appearing on two dice are different. Find the probability of the event 'the sum of numbers on the dice is 4'.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q11
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
In a binomial distribution, the sum of mean and variance is 42. Product is 360. FInd the distribution.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q10
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
Suppose X has a binomial distribution B(6,1/2) show that X = 3 is the most likely outcome.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q9
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
4 persons are chosen at random from a group of 3 men, 2 women, 3 children. Find the probability that out of 4 choice, exactly 2 are children.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q8
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
If on an average 1 ship in every 10 sinks, find the chance that out of 5 ships atleast 4 will arrive safely.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q7
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
In a hurdle race a player has to cross 10 hurdles. The probability that will clear each hurdle is 5/6, what is the probability that he will knock down fewer than 2 hurdles.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q6
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
A man fires 4 bullets on a thief. The probability that the thief will be killed by one bullet is 0.6. Find the probability that the thief is still alive.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q5
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
The parameters n and p are 12 and 1/3 for a binomial distribution. Find standard deviation.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q4
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
Given P(A) = 0.3, P(B) = 0.2, Find P(B/A) if A and B are mutually exclusive events.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q3
p41
math
asked
Feb 5, 2013
by
meena.p
5
answers
A die is thrown 120 times and getting 1 or 5 is considered success. Find the mean, variance of number of successes.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q2
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
Urn A contain 1 white, 2 black, 3 red balls. Urn B contain 2 white, 1 black, 1 red balls. Urn C contains 4 white, 5 black, 3 red balls. Two balls are drawn from one of the Urn and found to be one white and one red. Find the probabilities that they come from Urns A, B or C.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q1
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
Find the maximum and minimum values of 5x+2y subject to constraints \[-2x-3y\leq-6\]\[x-2y\leq2\]\[6x+4y\leq24\]\[-3x+2y\leq3\]\[x\geq0\;and\;y\geq0\]
cbse
class12
additionalproblem
kvquestionbank2012
ch12
q10
p40
math
asked
Feb 5, 2013
by
meena.p
0
answers
Determine graphically the minimum value of the objective function.\[z=-50x+20y\] subject to constraints \[2x-y\geq-5\]\[3x+y\geq3\]\[2x-3y\leq12\]\[x\geq0,y\geq0\]
cbse
class12
additionalproblem
kvquestionbank2012
ch12
q9
p40
math
asked
Feb 5, 2013
by
meena.p
0
answers
Solve the following LPP graphically. Minimize Z = 3x+5y subject to \[-2x+y\leq4\]\[x+y\geq3\]\[x-2y\leq2\]\[x,y\geq0\]
cbse
class12
additionalproblem
kvquestionbank2012
ch12
q8
p40
math
asked
Feb 5, 2013
by
meena.p
0
answers
Solve the following LPP graphically. Maximize or minimize Z = 3x+5y subject to \[3x-4y\geq-12\]\[2x-y+2\geq0\]\[2x+3y-12\geq0\]\[0\leq x\leq4\]\[y\geq2\]
cbse
class12
additionalproblem
kvquestionbank2012
ch12
q7
p40
math
asked
Feb 5, 2013
by
meena.p
0
answers
If a young man rides his motorcycle at 25 km/hr, he had to spend Rs.2 per km on petrol. If he rides at a faster speed of 40 km/hr, the petrol cost increases at Rs.5 per km. He has Rs.100 to spend on petrol and wishes to find what is the maximum distance he can travel within one hour. Express this as LPP and solve it graphically.
cbse
class12
additionalproblem
kvquestionbank2012
ch12
q6
p39
math
asked
Feb 5, 2013
by
meena.p
1
answer
A farmer has a supply of chemical fertilizer of type I which contains 10% nitrogen and 6% phosphoric acid and type II fertilizer which contains 5% nitrogen and 10% phosphoric acid. After testing the soil conditions of a field, it is found that atleast 14 kg of nitrogen and 14 kg of phosphoric acid is required for a good crop. The fertilizer type I costs Rs.2.00 per kg and type II costs Rs.3.00 per kg. How many kilograms of each fertilizer should be used to meet the requirement and the cost be minimum.
cbse
class12
additionalproblem
kvquestionbank2012
ch12
q5
p39
math
asked
Feb 5, 2013
by
meena.p
0
answers
A firm makes two types of furniture : chairs and tables. The contribution to profit for each product as calculated by the accounting department is Rs.20 per chair and Rs.30 per table. Both products are to be processed on three machines $ M_1,M_2 and M_3.$ The time required in hours by each product and total time available in hours per week on each machine are as follows:
cbse
class12
additionalproblem
kvquestionbank2012
ch12
q4
p39
math
asked
Feb 5, 2013
by
meena.p
1
answer
An oil company has tow depots A and B with capacities of 7000L and 4000L respectively. The company is to supply oil to three petrol pumps D, E and F whose requirements are 4500L, 3000L and 3500L respectively. The distances (in km) between the depots and the petrol pumps is given in the following table:
cbse
class12
additionalproblem
kvquestionbank2012
ch12
q3
p39
math
asked
Feb 5, 2013
by
meena.p
0
answers
A dietician has to develop a special diet using two foods P and Q. Each packet (containing 30 g) of food P contains 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitamin A, while each packet of the same quality of food Q contains 3 units of calcium, 20 units of vitamin A. The diet requires atleast 240 units of calcium, atleast 460 units of iron and almost 300 units of cholesterol. How many packets of each food should be used to maximize the amount of vitamin A in the diet? What is the maximum amount of vitamin A?
cbse
class12
additionalproblem
kvquestionbank2012
ch12
q2
p39
math
asked
Feb 5, 2013
by
meena.p
0
answers
A toy company manufactures two types of doll; a basic version-doll A and a deluxe version doll B. Each doll of type B takes twice as long as to produce as one of type A, and the company would have time to make a maximum of 2000 per day if it produces only the basic version. The supply of plastic is sufficient to produce 1500 dolls per day (both A and B combined). The deluxe version requires a fancy dress of which there are only 600 per day available. If company makes profit of Rs.3 and Rs.5 per doll, respectively, on doll A and B; how many each should be produced per day in order to maximize profit.
cbse
class12
additionalproblem
kvquestionbank2012
ch12
q1
p39
math
asked
Feb 5, 2013
by
meena.p
0
answers
A variable plane is at constant distance p from the origin and meet the axes in A, B & C. Show that the locus of the centroid of the tetrahedron $\bigtriangleup ABC\;is\; \Large\frac{1}{x^2}+\frac{1}{y^2}+\frac{1}{z^2}=\frac{16}{p^2}$
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q25
p38
math
asked
Feb 5, 2013
by
meena.p
1
answer
A variable plane which remains at a constant distance 3p from the origin cuts the co-ordinate axes at A, B & C. Show that the locus of the centroid of the $ \bigtriangleup ABC\;is\; \Large\frac{1}{x^2}+\frac{1}{y^2}+\frac{1}{z^2}=\frac{1}{p^2}$
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q24
p38
math
asked
Feb 5, 2013
by
meena.p
1
answer
A line makes angles $\alpha,\beta,\gamma\;and\;\delta$ with the four diagonals of a cube. Prove that $ \cos ^2 \alpha+\cos ^2\beta+\cos ^2 \gamma+\cos ^2 \delta=\Large\frac{4}{3}$
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q23
p38
math
asked
Feb 5, 2013
by
meena.p
0
answers
Find the distance of the point (2,3,4) from the line $\Large\frac{x+3}{3}=\frac{y-2}{6}=\frac{z}{2}$ measured parallel to the plane 3x+2y+2z+5 = 0
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q22
p38
math
asked
Feb 5, 2013
by
meena.p
0
answers
Find the distance of the point (1,-2,3) from the plane x-y+z = 5 measured parallel to the line $ \Large\frac{x+1}{2}=\frac{y+3}{2}=\frac{z+1}{-6}$
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q21
p38
math
asked
Feb 5, 2013
by
meena.p
0
answers
Find the reflection of the point (1,2,-1) in the plane 3x-5y+4z = 5
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q20
p38
math
asked
Feb 5, 2013
by
meena.p
0
answers
Find the equation of the line passing through the point (3,0,1) and parallel to the planes x+2y = 0 and 3y -z = 0
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q19
p38
math
asked
Feb 5, 2013
by
meena.p
0
answers
Find the vector equation of the plane through the intersection of the planes $ \bar{r}. (2\bar{j}+6\bar{j})+12=0$ & $ \bar{r}.(3\bar{i}-\bar{j}+4\bar{k})=0$ which are at a unit distance from the origin.
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q18
p38
math
asked
Feb 5, 2013
by
meena.p
0
answers
Find the shortest distance between two lines whose vector equations are $ \overrightarrow{r}=(1-t)i+(t-2) \bar{j}+(3-2t) \bar{k} $ and $ \overrightarrow{r}=(s+1) \bar {i}+(2s-1)\bar {j}-(2s+1) \bar {k}$
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q17
p38
math
asked
Feb 5, 2013
by
meena.p
0
answers
Find the values of P so that the lines $ \Large\frac{1-x}{3}=\frac{7y-14}{2p}=\frac{z-3}{2}$ and $ \Large\frac{7-7x}{3p}=\frac{y-5}{1}=\frac{6-z}{5}$ are at right angles.
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q16
p38
math
asked
Feb 5, 2013
by
meena.p
1
answer
The foot of the perpendicular drawn from the origin to the plane is (2,5,7). FInd the equation of the plane.
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q15
p37
math
asked
Feb 5, 2013
by
meena.p
0
answers
Find the perpendicular distance of point (2,3,4) from the line $ \Large\frac{4-x}{2}=\frac{y}{6}=\frac{1-z}{3}$
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q14
p37
math
asked
Feb 5, 2013
by
meena.p
0
answers
Find the equation of the plane through the points (-1,1,1) and (1,-1,1) perpendicular to the plane x+2y+2z = 5
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q13
p37
math
asked
Feb 5, 2013
by
meena.p
1
answer
Find the length and co-ordinates of the foot of perpendicular from point (1,1,2) to the plane 2x-2y+4z+5 = 0
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q12
p37
math
asked
Feb 5, 2013
by
meena.p
0
answers
Find the foot of the perpendicular drawn from the point A(1,0,3) to the join of the points B(4,7,1) and C(3,5,3)
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q11
p37
math
asked
Feb 5, 2013
by
meena.p
1
answer
Find the equation of the plane passing through the points (1,-1,2) and (2,-2,2) and perpendicular to the plane 6x-2y+2z = 9.
cbse
class12
additionalproblem
kvquestionbank2012
sec-b
ch11
q10
p37
math
asked
Feb 5, 2013
by
meena.p
1
answer
Find the image of the point (1,2,3) in the plane x+2y+4z = 38.
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q9
p37
math
asked
Feb 5, 2013
by
meena.p
0
answers
Show that the lines $ \Large\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$ and $ \Large\frac{x-4}{5}=\frac{y-1}{2}=2$ intersect. Also find the point of intersection.
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q8
p37
math
asked
Feb 5, 2013
by
meena.p
0
answers
Find the equation of the plane passing through the point (1,1,1) and perpendicular to each of the plane x+2y+3z = 7 and 2x-3y+4z = 0
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q7
p37
math
asked
Feb 5, 2013
by
meena.p
0
answers
Find the value of k for which the lines $\Large\frac{x-2}{1}=\frac{y-3}{1}=\frac{z-4}{-k}$ and $\Large \frac{x-1}{k}=\frac{y-4}{2}=\frac{z-5}{1}$ are co-planar.
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q6
p37
math
asked
Feb 5, 2013
by
meena.p
0
answers
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