Question

NO LINKS!!! Please help me with this problem​

Answer 1

The sum of the probabilities of all possible outcomes is 1.

Given:

• Male students = 25% = 0.25
• Students who walk to school = 40% = 0.4

Therefore:

• Female students = 1 - 0.25 = 0.75

Part (a)

`\begin{aligned}\sf P(\textsf{female}) & = 1 - 0.25\\ & = 0.75\\ & = 75\%\end{aligned}`

Part (b)

`\begin{aligned}\sf P(\textsf{does not walk to school}) & = 1 - 0.4\\ & = 0.6\\ & = 60\%\end{aligned}`

`\begin{aligned}\implies\sf P(\textsf{student is male and does not walk to school}) & = 0.25 * 0.6\\ & = 0.15\\ & = 15\%\end{aligned}`

Part (c)

`\begin{aligned}\implies\sf P(\textsf{student walks to school or does not walk to school}) & = 0.4+0.6\\ & = 1\\ & = 100\%\end{aligned}`

Answer 2

1. 0.75

2. 0.15

3. 1

Explanation:

1. P(student is female) = 1 - 0.25 = 0.75

2. P(student is male and does not walk to school) = 0.25 × 0.6 = 0.15

3. P(student walks to school or does not walk to school) = 0.4 + 0.6 = 1