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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?


               



Solve y’=y-x2


, y(0)=1, by Picord’s method upto the third approximation . Hence find


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Solve differential equation by reducing the order.





X3





y





111+xy1





-y=1/x, y1=x

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Given 𝜇=72; and 𝜎=8, find the z-score that corresponds to each of the following scores up to two decimal place


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