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Answer in Statistics and Probability for Wawan #87276

Author:
January 24th, 2023

Let M be event that teacher is mathematics teacher, H be the event that teacher is history teacher, E be the event that the teacher is English teacher, and S be the event that teacher is the science teacher.

“8+5+6+7+4+8+3+5=46”

“P(M)={{8+5} over 46}={13 over 46}”

“P(S)={{6+7} over 46}={13 over 46}”

“P(E)={{4+8} over 46}={6 over 23}”

“P(H)={{3+5} over 46}={4 over 23}”

“P(male)={{8+6+4+3} over 46}={21 over 46}”

“P(female)={{5+7+8+5} over 46}={25 over 46}”

“I) P(Mcup female)=P(M)+P(female)- P(Mcap female)”

“P(Mcup female)={13 over 46}+{25 over 46}-{5over 46}={33 over 46}”

“II) P(Hcup male)=P(H)+P(male)- P(Hcap male)”

“P(Hcup male)={8 over 46}+{21 over 46}-{3over 46}={13 over 23}”

“III) P(bar{E})=1-P(E)”

“P(bar{E})=1-{6 over 23}={17 over 23}”

“IV) P(Scap male)={6 over 46}={3 over 23}”

“V) P(Mcup S)=P(M)+P(S)”

“P(Mcup S)={13 over 46}+{13 over 46}={13 over 23}”

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