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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
icon
Related questions
Question
Plz answer all parts in 20 mints very urgent
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.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage