Question

(1 point) The histogram below gives the length of service of members of the Department of Mathematics and Statistics at a particular university. The classes, in years of service, are 0– 4.9.5-9.9, etc., and the vertical axis represents the number of faculty. (a) What percent of the department faculty have less than 5 years of service? Answer: % (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 20 years of service? Answer: (c) What is the probability the representative above will have less than 10 years of service given that the person has less than 30 years of service? Answer: Hathenatics and Statistics Faculty 8 7 - 6 5 2 1 8 5 18 15 20 25 Years of Service

Answer 1

from the the histogram, length of 5x100 50 Humber of facully - 5+6=1) "Bet numberg faculty LE total 5+6+5+8+543474576 services 50 Total length of years = 40 your u q 4 a) what % of department facully have less than 5 years Service No ng facility with lus than 8 years x100 Total faculty b) No . g faculty between 10 and 20 you, & t + 8 = 13 .: probability: 13.90.26 let Event An Service Event By less than 30 service a year of StG+5784573 betwech A andB "Since leisthan 10 and A CANB) than 30- less than 10: batistics both A P(A/B) (from Puestion] -10% c) les than 10 years of of I 32 ommon - Il nog faculty ...probining and B] MCAOB) RLB) ll 32 € 0.34375 : 0.344.