If two dice are rolled 12 times, obtain the mean and varianve of the distribution of successes, if getting a total greater than 4 is considered a success.

If the mean and variance of a certain binomal distribution are 4 and 3.2 respectively, find the probability of at least one success.

The mean and variance of a binomial distribution are 4 and 2 respectively. Then the probability of exactly two successes is

The probability distrubution of the number of successes in two tosses of a die where a success is defined as getting a number greater than 4 then the probability distribution of number of successes in two tosses of are die are

Show that the square roots of two successive natural numbers greater than N^2 differ by less than 1/(2N)dot

Out of two vectors, the larger one is sqrt(2) times the smaller one . Show that the resultant cannot make an angle greater than (pi)/(4) with the larger one.

Find the probability distribution of the number of successes in two tosses of a die, where a success is defined as (i) number greater than 4 (ii) six appears on at least one die

If two loaded dice each have the property that 2 or 4 is three times as likely to appears as 1,3,5,or6 on each roll. When two such dice are rolled, the probability of obtaining a total of 7 is p, then value of [1//p] is, where [x] represents the greatest integer less than or euqal to x.

In the random rxperiment of rolling an unbiased die, let A be the event of getting a digit less than 4 and B be then event of getting a digit greater than 3 , show that the events A and B are mutually exclusive and exhaustive.

A number of two digits is 3 more than 4 times of the sum of its digits. The number, obtained by reversing the position of the two digits is 18 more than the initial number. Find the number.