Two friends Kirsty and Bridget, independently applied for different jobs.   The chances that Kirsty is successful is 0.8 and the chances that Bridget is successful is 0.75.   (a) If X denotes the number of successful applications between the two friends, find the   probability distribution of X.  (b) Hence find the probability that i. both are successful  ii. that if one is successful, it is Kirsty.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Two friends Kirsty and Bridget, independently applied for different jobs.  
The chances that Kirsty is successful is 0.8 and the chances that Bridget is successful is 0.75.  
(a) If X denotes the number of successful applications between the two friends, find the 
 probability distribution of X. 
(b) Hence find the probability that i. both are successful 
ii. that if one is successful, it is Kirsty.

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