Recent questions tagged kvquestionbank2012

If $ \sqrt{1-y^2}-\sqrt{1-x^2}=a(x-y),\normalsize$ then find $\large\frac{dy}{dx}$

asked Feb 5, 2014 by rvidyagovindarajan_1

1 answer

Evaluate: $ \int \limits_{-1}^{3/2} \; \left | x \sin \pi x \right | \; dx $

asked Apr 27, 2013 by meena.p

1 answer

Using vector method prove that : $d)\;\cos (A+B)=\cos A\cos B+\sin A\sin B$

asked Apr 22, 2013 by sreemathi.v

1 answer

Using vector method prove that : $c)\;\cos (A+B)=\cos A\cos B-\sin A\sin B$

asked Apr 22, 2013 by sreemathi.v

1 answer

Using vector method prove that : $b)\;\sin (A-B)=\sin A\cos B-\cos A\sin B$

asked Apr 22, 2013 by sreemathi.v

1 answer

If $\large\overrightarrow a\:and\:\overrightarrow b$ are unit vectors then prove that $ \large\frac{1}{2}|\overrightarrow a-\overrightarrow b|=sin\frac{\theta}{2}.$

asked Apr 19, 2013 by rvidyagovindarajan_1

1 answer

A random variable X has probability distribution P(X) of the following form where K is some number. \[P(X)= \left\{ \begin{array}{1 1} k & \quad if & \quad x=0 \\ 2k & \quad if & \quad x=1 \\3k & \quad if & \quad x=0 \\0 & \qquad otherwise \end{array} \right.\]\[Find\;(1)\;K\qquad(2)\;p(x>2)\]

asked Feb 5, 2013 by meena.p

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Six dice are thrown 729 times. How many times do you expect atleast three dice to show 5 or 6.

asked Feb 5, 2013 by meena.p

1 answer

A die is thrown again and again untill three sixes are obtained. Find the probability of obtaining third six in sixth throw of dice.

asked Feb 5, 2013 by meena.p

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$ P(A)=1/2,P(B)=7/12\;and\;P(notA\;or\;norB)=1/4$ State whether A and B independent or not.

asked Feb 5, 2013 by meena.p

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If the second die always shows an odd no. find the conditional probability of getting a sum as 7, if a pair of dice is to be known.

asked Feb 5, 2013 by meena.p

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Two dice are thrown. Find the probability that the number appeared have a sum 8 if it is known that second dice always exhibits 4.

asked Feb 5, 2013 by meena.p

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Two cards are drawn from a pack and kept out. Then one card is drawn from remaining 50 cards. Find the prob. that it is an ace.

asked Feb 5, 2013 by meena.p

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P(A speaks truth is) = 4/5 . A coin is tossed. 'A' reports that a head appears. The probability that actually there was a head is.

asked Feb 5, 2013 by meena.p

1 answer

If E and F are events such that $P(F)=1/4P(F)=1/2\;and\;P(E\cap P)=1/8\;find\;P(\bar{E}\cap\bar{F})$

asked Feb 5, 2013 by meena.p

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If $ 2P(A)=P(B)=5/13\;and(A/B)=2/5\;find\;P(A\cap B)$

asked Feb 5, 2013 by meena.p

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6 coins are tossed simultaneously. Find the probability of getting 1) no heads 2) 3 heads

asked Feb 5, 2013 by meena.p

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Find the mean and variance of number of sines in two tosses of a die.

asked Feb 5, 2013 by meena.p

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Two cards are drawn from a pack. Find the probability that number of aces are drawn. (Write probability distribution table)

asked Feb 5, 2013 by meena.p

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Find the probability distribution of the sum of the numbers obtained when two dice are thrown once.

asked Feb 5, 2013 by meena.p

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A man takes a step forward with probability 0.4 and backwards with a probability 0.6. Find the probability that after 11 steps he is just one step away from the starting point.

asked Feb 5, 2013 by meena.p

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Two cards are drawn without replacement from a pack. Find the probability distribution of number of face cards.

asked Feb 5, 2013 by meena.p

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A tells lie is 30% cases, and B in 35% cases find the probability that both state same fact.

asked Feb 5, 2013 by meena.p

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Find the probability that sum of nos. appearing and showing on two dice is 8, given that atleast one of the dice doesn't show 5.

asked Feb 5, 2013 by meena.p

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Suppose that a fair dice are tossed and let X represents "The sum of points". FInd the mean/ variance of X.

asked Feb 5, 2013 by meena.p

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A man is known to speak truth 3 times out of 4. He throws a dice and reports that it is a six. Find the probability that it is actually a six.

asked Feb 5, 2013 by meena.p

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A,B,C tosses a coin in turns. The first one to throw a 'head' wins game. What are their respective chances of winning.

asked Feb 5, 2013 by meena.p

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Obtain the probability distribution of number of sixes in two tosses of a dice. Also find mean/ variance.

asked Feb 5, 2013 by meena.p

1 answer

A company produces 10% defective items. Find the probability of getting 2 defective items in a sample of 8 items is

asked Feb 5, 2013 by meena.p

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A coin is tossed 7 times. FInd the probability distribution of getting r heads.

asked Feb 5, 2013 by meena.p

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If three distinct numbers are chosen at randomly from first 100 natural nos. then the probability that all of them are divisible by 2 or 3 is

asked Feb 5, 2013 by meena.p

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A fair die is rolled. The probability that the first 1 occurs at even number of trails is?

asked Feb 5, 2013 by meena.p

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A letter is chosen at random from the word ASSASSINATION. Find the probability that the letter is a vowel.

asked Feb 5, 2013 by meena.p

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If a 4 digit number > 5000 are randomly formed from digits 0,1,3,5,7. Find probability of forming a number divisible by 5 when (1) digits are repeated 2) digits are not repeated.

asked Feb 5, 2013 by meena.p

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A fair die is rolled. The probability that the first 1 occurs at the even number of trails is ?

asked Feb 5, 2013 by meena.p

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A pack of 52 cards were distributed equally among 4 players. Find the chance that 4 kings are held by particular player.

asked Feb 5, 2013 by meena.p

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What are the odds in favour of getting a 3 in a throw of die? What are the odds against getting 3?

asked Feb 5, 2013 by meena.p

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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.

asked Feb 5, 2013 by meena.p

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If A, B, C are events associated with random expt. Prove that \[ PtP(A\cup B\cup C)=P(A)+P(B)+P(C)-P(A\cap B)-P(A\cap C)-P(B\cap C)+P(A\cap B\cap C)\]

asked Feb 5, 2013 by meena.p

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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.

asked Feb 5, 2013 by meena.p

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The mean and variance of a binomial distribution are $ 4 \;and\;\frac{4}{3}.\;Find\;P(X\geq1).$

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.

asked Feb 5, 2013 by meena.p

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Find the probability of throwing almost 2 sixes in 6 throws of a single dice.

asked Feb 5, 2013 by meena.p

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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

asked Feb 5, 2013 by meena.p

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$P(A)=\frac{1}{2},P(B)=\frac{7}{12}P(not A \;or\; nor B)=\frac{1}{4}$ state whether A and B are independent.

asked Feb 5, 2013 by meena.p

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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'.

asked Feb 5, 2013 by meena.p

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In a binomial distribution, the sum of mean and variance is 42. Product is 360. FInd the distribution.

asked Feb 5, 2013 by meena.p

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Suppose X has a binomial distribution B(6,1/2) show that X = 3 is the most likely outcome.

asked Feb 5, 2013 by meena.p

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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.

asked Feb 5, 2013 by meena.p

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If on an average 1 ship in every 10 sinks, find the chance that out of 5 ships atleast 4 will arrive safely.

asked Feb 5, 2013 by meena.p

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