A large cable company reports the following. 80% of its customers subscribe to its cable TV service 42% of its customers subscribe to its Internet service 35% of its customers subscribe to its telephone service 27% of its customers subscribe to both its cable TV and Internet service 22% of its customers subscribe to both its cable TV and phone service 23% of its customers subscribe to both its Internet and phone service 15% of its customers subscribe to all three services Consider the chance experiment that consists of selecting one of the cable company customers at random. Use the probability formulas of this section to find the following probabilities. (a) P(cable TV only) (b) P(Internet|cable TV) (c) P(exactly two services) (d) P(Internet and cable TV only)

A large cable company reports the following. 80% of its customers subscribe to its cable TV service 42% of its customers subscribe to its Internet service 35% of its customers subscribe to its telephone service 27% of its customers subscribe to both its cable TV and Internet service 22% of its customers subscribe to both its cable TV and phone service 23% of its customers subscribe to both its Internet and phone service 15% of its customers subscribe to all three services Consider the chance experiment that consists of selecting one of the cable company customers at random. Use the probability formulas of this section to find the following probabilities. (a) P(cable TV only) (b) P(Internet|cable TV) (c) P(exactly two services) (d) P(Internet and cable TV only)

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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B. A manufacturing company is analyzing its accident record. The accidents fall into two categories: ➤Minor-dealt with by first aider: Average cost k50 Major-hospital required. Average cost k1,000 The company has 1,000 employees, of which 180 are office staff and the rest work in the factory. The analysis shows that 10% of employees have an accident each year and 20% of accidents are major. It is assumed that an employee has more than one accident in a year. (i) Determine the expected total cost of accidents in a year. On further analysis it is discovered that a member of office staff has half the probability of having an accident relative those in the factory. (ii) Show that the probability that a given a member of office staff has an accident in a year is 0.0549. (iii) Determine the probability that a randomly chosen employee who has had an accident is office staff.
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