The histogram below gives the length of service of members of the Department of
ID: 3043056 • Letter: T
Question
The histogram below gives the length of service of members of the Department of Biology at a particular university. The classes, in years of service, are 04.9, 59.9, etc., and the vertical axis represents the number of faculty.
(a) What percent of the department faculty have 5 or more years of service?
(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 15 and 35 years of service?
(c) What is the probability the representative above will have less than 15 years of service given that the person has less than 30 years of service?
Biology Faculty 8 5 18 15 20 25 30 35 40 0 5 Years of ServiceExplanation / Answer
total is (3+9+6+5+6+7+7+7)=50
a) P(x>=5)=1-P(x<5) which is 3/50=0.06
b) (5+6+7+7)/50=0.5
c) P(x<15)/P(x<30)=(3+9+6)/(3+9+6+5+6+7)=0.5
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