Question

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.

Answer 1

Given:

Find-:

`\begin{gathered} P(\text{ Fail \mid male\rparen } \\ \\ P(\text{ Fail\rparen} \\ \\ \end{gathered}`

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

`P(A)=\frac{\text{ Number of favorable outcomes for A }}{\text{ Total number of possible outcomes}}`

P(fail | male)

Favorable outcomes for failed males are 26

The total outcome is:

`\begin{gathered} \text{ Total outcome = }62+26+93+39 \\ \\ =220 \end{gathered}`

So, the probability is:

`\begin{gathered} P(Fail|male)=(26)/(220) \\ \\ =(13)/(110) \\ \\ =0.118 \end{gathered}`

(B)

P(fail)

For fail Favorable outcomes are

`\begin{gathered} =26+39 \\ \\ =65 \end{gathered}`

The total number of outcomes are:

`\begin{gathered} P(fail)=(65)/(220) \\ \\ =(13)/(44) \\ \\ =0.295 \end{gathered}`