Questions 16, 17, and 18 are about the following experiment The table below show

Question

Questions 16, 17, and 18 are about the following experiment The table below shows the schools and genders of the 15 faculty members who are members of the Faculty Senate The experiment is to select a member of the Faculty Senate at random Male Female Arts & Sciences Nursing "person is in the School of E ducation" and Event Fa person is a female In order to help you answer the following questions I have expanded the table, below, to add a total row and a total column. Note tat you can get the three probabilities asking for by counting; no formula is needed Gender School Male Female Totals Arts & Sciences Education 1 1 2 Nursing 3 6. What is the probability that the person is a female member of the School of Education? Note: This is AE and FO, 7 What is PEVF? This is the probabilty that the person member of the School of Education, given that the person is female 18. What is PIFE? This is the probability that the person is a female, given that the of the School of person is a

Explanation / Answer

Here it is given that E is Education and F is for Female

1.P(E and F)=common value of E and F/total number of observation=1/15

2. P(E/F)=P(E and F)/P(F)=1/15/9/15=1/9

3. P(F/E)=P(E and F)/P(E)=1/15/2/15=1/2

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