Please fill in the four questions below. The third Dropbox options are equal or unequal. The fourth Dropbox options are independent/dependant.The first and second questions don't have dropboxes, only the third and fourth one do.

Question

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JovanE63450 JovanE63450 · Answer 1 · 2022-10-27T21:34:25+02:00

Given:

Find-:

[tex]\begin{gathered} P(\text{ Fail \mid male\rparen } \\ \\ P(\text{ Fail\rparen} \\ \\ \end{gathered}[/tex]

Explanation-:

Probability - Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Formula

[tex]P(A)=\frac{\text{ Number of favorable outcomes for A }}{\text{ Total number of possible outcomes}}[/tex]

P(fail | male)

Favorable outcomes for failed males are 26

The total outcome is:

[tex]\begin{gathered} \text{ Total outcome = }62+26+93+39 \\ \\ =220 \end{gathered}[/tex]

So, the probability is:

[tex]\begin{gathered} P(Fail|male)=\frac{26}{220} \\ \\ =\frac{13}{110} \\ \\ =0.118 \end{gathered}[/tex]

(B)

P(fail)

For fail Favorable outcomes are

[tex]\begin{gathered} =26+39 \\ \\ =65 \end{gathered}[/tex]

The total number of outcomes are:

[tex]\begin{gathered} P(fail)=\frac{65}{220} \\ \\ =\frac{13}{44} \\ \\ =0.295 \end{gathered}[/tex]