A university library is preparing a display case of books written by faculty mem
ID: 3202579 • Letter: A
Question
A university library is preparing a display case of books written by faculty members. there are 25 new faculty books, but there is room for only 10 in the display care suppose 10 books are selected at random.
a.)how many different faculty books collections can be displayed?
b.) If 15 of the new books are written by faculty members from the college of science and technology, what is the probability that all 10 displayed books are written by faculty members from this college?
c.) If none of the 10 displayed books is written by faculty members from the college of science and technology, is there any evidence to suggest the selection process was random? justify your answer
Explanation / Answer
Result:
A university library is preparing a display case of books written by faculty members. there are 25 new faculty books, but there is room for only 10 in the display care suppose 10 books are selected at random.
a.)how many different faculty books collections can be displayed?
25C10 =3268760 ways different faculty books collections can be displayed.
b.) If 15 of the new books are written by faculty members from the college of science and technology, what is the probability that all 10 displayed books are written by faculty members from this college?
Number of ways all 10 displayed books are written by faculty members from this college of 15 books
= 15C10 =3003
probability that all 10 displayed books are written by faculty members from this college
=3003/3268760
=0.000918697
c.) If none of the 10 displayed books is written by faculty members from the college of science and technology, is there any evidence to suggest the selection process was random? justify your answer
Number of ways all 10 displayed books are not written by faculty members from this college
= 10C10 =1
Probability of none of the 10 displayed books is written by faculty members from the college of science and technology = 1/ 3268760
= 0.000000305
This probability is very low, we doubt the selection process was random.
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