Question

	Length of Service
Loyalty	Less than 1 Year	1–5 Years	6–10 Years	More than 10 Years	Total
Would remain	10	30	5	75	120
Would not remain	25	15	10	30	80
TOTAL	35	45	15	105	200

A survey of all 200 executives of a company measured their loyalty to the company. One of the
questions asked was, \If you were given an oer by another company equal or slightly better than
your present position, would you remain with the company or take the new position?" The responses
of the 200 executives are cross-classied with their length of service with the company in the table
below. That is the responses of each executive was included in the column corresponding to her/his
length of service, and the row corresponding to loyalty.

1. Define clearly the events before you answer the following questions.
2. What is the probability that the selected executive will be loyal to the company?
3. What is the probability that the selected executive has less than one year of service?
4. What is the probability that the selected executive will be loyal to the company and will have
more than 5 years of service?
5. What is the probability that the selected executive, who has between 6 and 10 years of service,
will not be loyal to the company?
6. What is the probability that the selected executive, who is not loyal to the company, has less
than 6 years of service?

Answer 1

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