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What is the probability that the person selected

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A research and development company surveyed all 200 of its employees over the age of 60 and obtained the information given in the next table. One of these 200 employees is selected at ran- dom.

under 20 years with company over 20 years with company

technical staff. non technical. technical staff. non technical staff

plan to retire at age 65. 31 5 45 12

plane to retire at age 68 59 25 15 8

a) What is the probability that the person selected is on the technical staff?

b) If the person selected has over 20 years of service with the company, what is the probabil-

ity that the person plans to retire at age 68?

c) If the person selected is on the technical staff, what is the probability that the person has

been with the company less than 20 years?

d) What is the probability that the person selected has over 20 years with the company, is on

the non-technical staff, and plans to retire at age 65?

e) Consider the events A:{Plant to retire at age 68}, B:{On the technical staff}, and E:{On the non-technical staff}. Are the events A and B independent? Are the events B and E mutually exclusive?

Reference no: EM132461602

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