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)

Consider The Class Level Distribution At A Small University Discuss And Evaluate The Probability Of The

Answers

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

[tex]P(m) = \frac{Total\ number\ of\ male}{Total\ number\ of\ students}[/tex]

[tex]= \frac{530}{1132}[/tex]

= 0.5132

The P(M or Fr) is

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

[tex]= 0.5123 + \frac{100+105}{1132} - \frac{100}{1132}[/tex]

= 0.5123 + 0.1810 - 0.0890

= 0.6043

The P(M and Fr) is

[tex]P(M and Fr) = \frac{Number\ of\ male\ freshman}{Total\ number\ of\ student}[/tex]

[tex]= \frac{100}{1132}[/tex]

= 0.0890

The P(M | Fr) is

[tex]P(M | Fr) = \frac{P(M and Fr)}{P(Fr)}[/tex]

[tex]= \frac{0.0890}{0.1810}[/tex]

= 0.4917


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