Question Al At the college enquiry counter, each enquiry received is handled by Adam, Billy or Cathy. The probabilities of them handling with an enquiry are 0.2, 0.3 and 0.5 respectively. • Of enquires handled by Adam, 60% are answered immediately, 25% are answered later the same day and the remainder are answered at a later date. • Of enquires handled by Billy, 75% are answered immediately, 15% are answered later the same day and the remainder are answered at a later date. • Of enquires handled by Cathy, 90% are answered immediately and the remainder are answered at a later date. Find the probability that an enquiry (a) is handled by Cathy and answered immediately; (b) is answered immediately; (c) is handled by Adam, given that it is answered later the same day.

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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Question Al
At the college enquiry counter, each enquiry received is handled by Adam, Billy or Cathy. The
probabilities of them handling with an enquiry are 0.2, 0.3 and 0.5 respectively.
• Of enquires handled by Adam, 60% are answered immediately, 25% are answered later the
same day and the remainder are answered at a later date.
• Of enquires handled by Billy, 75% are answered immediately, 15% are answered later the
same day and the remainder are answered at a later date.
• Of enquires handled by Cathy, 90% are answered immediately and the remainder are
answered at a later date.
Find the probability that an enquiry
(a) is handled by Cathy and answered immediately;
(b) is answered immediately;
(c) is handled by Adam, given that it is answered later the same day.
Transcribed Image Text:Question Al At the college enquiry counter, each enquiry received is handled by Adam, Billy or Cathy. The probabilities of them handling with an enquiry are 0.2, 0.3 and 0.5 respectively. • Of enquires handled by Adam, 60% are answered immediately, 25% are answered later the same day and the remainder are answered at a later date. • Of enquires handled by Billy, 75% are answered immediately, 15% are answered later the same day and the remainder are answered at a later date. • Of enquires handled by Cathy, 90% are answered immediately and the remainder are answered at a later date. Find the probability that an enquiry (a) is handled by Cathy and answered immediately; (b) is answered immediately; (c) is handled by Adam, given that it is answered later the same day.
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