MATH SOLVE

3 months ago

Q:
# A business organization needs to make up a 6 member fund-raising committee. The organization has 10 accounting majors and 8 finance majors. What is the probability that at most 2 accounting majors are on the committee?a) 0.0045b) 0.2014c) 0.1998d) 0.0015e) 0.0030

Accepted Solution

A:

Answer:bStep-by-step explanation:GivenCommittee needs 6 fund raising member andthere are 10 accounting majors and 8 finance majorsProbability that at most 2 accounting majors are on the committeeThere are three cases for this i)0 accounting member and 6 finance majorii)1 accounting member and 5 finance majoriii)2 accounting member and 4 finance majorTherefore required Probability P is[tex]P=\frac{^{10}C_0\times ^{8}C_6}{^{18}C_6}+\frac{^{10}C_1\times ^{8}C_5}{^{18}C_6}+\frac{^{10}C_2\times ^{8}C_4}{^{18}C_6}[/tex][tex]P=\frac{28+560+3150}{18564}=0.2013[/tex]