Probability Test - 2

The probability that in a random arrangement of the letters of the word INSTITUTION the three T are together is

The value of c so that the function f(x) = c(x² + 4) for x = 0, 1, 2, 3 can serve as a probability distribution of the discrete random variable X.

A pair of dice is rolled again and again till a total of 5 or a total of 7 is obtained . The chance that a total of 5 comes before a total of 7 is 

Fifteen coupons are numbered 1 to 15 . Seven coupons are selected at random, one at a time with replacement . The probability that the largest number apearing on a selected cuopon be 9 is

The binomial distribution with mean 20 and S.D. 4 is

If A and B are two events such that P(A) = 0.5, P(B) = 0.6 and P(A υ B) = 0.8 then the value of P(A/B) is

A consignment of 15 record players contains 4 defective. The record players are selected at random, one by one and examined. The ones examined are not put back. Then the probability that 9th one examined is the last defective is

The mean and variance of the Binomial distribution B (4,1/3) are respectively 

If A and B are mutually exclusive events such that P(A U B) ≠ 0. Then P(A / A U B) = 

Events A and B associated with an experiment are said to be independent iff