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Recent questions tagged p43

Prove the following inequalities: $\log(1+ x)< x $ for all $x>0$

asked May 4, 2013 by poojasapani_1

1 answer

Prove the following inequalities: $\tan ^{-1}x < x$ for all $x>0$

asked May 4, 2013 by poojasapani_1

1 answer

Prove the following inequalities: $\sin x> x-\large\frac{x^{3}}{6}, $$x>0$

asked May 4, 2013 by poojasapani_1

1 answer

Prove the following inequalities: $\cos x> 1-\large\frac{x^{2}}{2}, $$x>0$

asked May 4, 2013 by poojasapani_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

0 answers

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

0 answers

$ 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

0 answers

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

0 answers

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

0 answers

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

0 answers

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

0 answers

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

asked Feb 5, 2013 by meena.p

0 answers

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

asked Feb 5, 2013 by meena.p

0 answers

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

asked Feb 5, 2013 by meena.p

0 answers

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

0 answers

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

asked Feb 5, 2013 by meena.p

0 answers

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

0 answers

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

0 answers

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