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Recent questions tagged p278

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.

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.

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.

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.

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\[(i)\;E(X)\quad(ii)\;E(3X^2)\quad(iii)\;P(X\geq 4)\]

asked Jan 9, 2013 by sreemathi.v

1 answer

The probability distribution of a discrete random variable X is given as under:

asked Jan 9, 2013 by sreemathi.v

1 answer

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