Question

Consider the class level distribution at a small university Discuss and evaluate the probability of the following events: P(M) P(M or Fr) P(M and Fr) P(M | Fr)

Answer 1

Answer and Explanation:

The discussion and evaluation of the probability is shown below:-

The Total number of students in universities is

= 100 + 150 + 130 + 200 + 105 + 103 + 156 + 188

= 1132

The P(m) is

`P(m) = (Total\ number\ of\ male)/(Total\ number\ of\ students)`

`= (530)/(1132)`

= 0.5132

The P(M or Fr) is

P(m or Fr) = P(m) + P(fr) - P(m and fr)

`= 0.5123 + (100+105)/(1132) - (100)/(1132)`

= 0.5123 + 0.1810 - 0.0890

= 0.6043

The P(M and Fr) is

`P(M and Fr) = (Number\ of\ male\ freshman)/(Total\ number\ of\ student)`

`= (100)/(1132)`

= 0.0890

The P(M | Fr) is

`P(M | Fr) = (P(M and Fr))/(P(Fr))`

`= (0.0890)/(0.1810)`

= 0.4917