Given X and Y are independent events respectively. P (X) = 0.65, P (Y) = 0.15. Event Z refers to the event that none of the events X and Y occurs. Event W refers to the event that if and only if one of the events X and Y occurs. (a) Find the probability P (Z), P (W), P (XW), P (X | Wc) respectively. (b) Are Z and W independent? Justify your answer (c) P(O) = 0.3, P(P) = a and P(O U P) = 0.7. Find the value of a if event O and P are independent.

Given X and Y are independent events respectively. P (X) = 0.65, P (Y) = 0.15. Event Z refers to the event that none of the events X and Y occurs. Event W refers to the event that if and only if one of the events X and Y occurs. (a) Find the probability P (Z), P (W), P (XW), P (X | Wc) respectively. (b) Are Z and W independent? Justify your answer (c) P(O) = 0.3, P(P) = a and P(O U P) = 0.7. Find the value of a if event O and P are independent.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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