Probability Math 114 on Webwork
Mathematics

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(b) If a member of the department is chosen at random to serve on a university committee, what is the probability (in decimal form) that the chosen representitive will have between 10 and 25 years of service?
Answer: ?
(c) What is the probability the representative above will have less than 25 years of service given that the person has less than 35 years of service?
Answer: ?
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b) based on the histogram, the number of members with between 10 and 25 years of service is
11 + 5 + 8 = 24
The total number of members of the Department of English is
6 + 5 + 11 + 5 + 8 + 5 + 5 + 5 = 50
So, the probability is 24/50 = 0.48
c) the number of members with less than 25 years is
6 + 5 + 11 + 5 + 8 = 35
the number of members with less than 35 years of service is 45
So, the probability is 35/45 = 0.78
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