Answer to Question #262419 in Statistics and Probability for matt

Question

Academicians was surveyed of their loyalty to the university. They're asked “If given an offer by other university equivalent or slightly better than present position, would you remain or not?Table 4 represents the responses of the 200 academicians which were cross-classified with their length of service. 

Table 4: Loyalty of Academicians & Length of Service.

Length of Service Total

Loyalty Less than1 yr, 1-5 yr, 6-10 yr, More than 10 yr

Remain 10 30 5 75 120

Not remain 25 15 10 30 80  

a)represent the information in Table 4 as a tree diagram.             

b)What's the probability of randomly who is loyal and who has more than 10 yr service?

c)What's the probability of who would not remain and has less than 1-yr of service?

d)What's the probability of who would remain, given that he or she has 1-5 yr of service?

e)What's the probability of who would not remain, given that he or she 6-10 yr of service?

f)What's the probability of an academic with more than 10 yr of service or one who would not remain?