By Vijay K. Rohatgi, A.K. Md. Ehsanes Saleh

ISBN-10: 0471348465

ISBN-13: 9780471348467

The second one version of a well-received publication that used to be released 24 years in the past and maintains to promote to at the present time, An advent to chance and information is now revised to include new details in addition to big updates of current fabric.

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**Extra resources for An Introduction to Probability and Statistics (Wiley Series in Probability and Statistics)**

**Sample text**

B) Find the probability that the player wins the game. (c) What is the probability that the game ends on (i) the first roll, (ii) the second roll, and (iii) the third roll? 1 INTRODUCTION In Chapter 1 we dealt essentially with random experiments that can be described by finite sample spaces. We studied the assignment and computation of probabilities of events. In practice, one observes a function defined on the space of outcomes. Thus, if a coin is tossed n times, one is not interested in knowing which of the 2n n-tuples in the sample space has occurred.

Then P(A)= P{HH, TH} = !. P(B) = {HH, HT}= !. and P(An B) P{A I B}= P(B) I 4 1 = - = -2 = P(A). l 2 Thus P(An B)= P(A)P(B). In the following, we write An B= A B. Definition A and B, are said to be independent if and only if 1. Two events, P(AB)= P(A)P(B). (1) P(A) or P(B). Thus conditional P(A) or P(B) = 0, but independence is. Clearly, if P(A) = 0, then A is independent of every E E S. Also, any event A E S is Note that we have not placed any restriction on probability is not defined when independent of eJ and Q.

I) A single pair. 13. (a) A married couple and four of their friends enter a row of seats in a concert hall. What is the probability that the wife wiJI sit next to her husband if aJI possible seating arrangements are equally likely? (b) In part (a), suppose that the six people go to a restaurant after the concert and sit at a round table. What is the probability that the wife wiJI sit next to her husband? 14. Consider a town with N people. A person sends two letters to two separate people, each of whom is asked to repeat the procedure.

### An Introduction to Probability and Statistics (Wiley Series in Probability and Statistics) by Vijay K. Rohatgi, A.K. Md. Ehsanes Saleh

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