Answer:
[tex]P(F) = 0.515[/tex]
[tex]P(M) = 0.485[/tex]
Step-by-step explanation:
Given
[tex]Female = 51.5\%[/tex]
Solving (a): Probability of running into a female
To do this, we simply convert the given proportion to decimal
[tex]P(F) = 51.5\%[/tex]
Convert to fraction
[tex]P(F) = \frac{51.5}{100}[/tex]
[tex]P(F) = 0.515[/tex]
Solving (b): Probability of running into a male
Represent this with [tex]P(M)[/tex]
To solve this, we apply the concept of probability complement which states that:
[tex]p + q = 1[/tex]
In this case:
[tex]P(F) + P(M) = 1[/tex]
Substitute 0.515 for P(F)
[tex]0.515 + P(M) = 1[/tex]
Subtract 0.515 from both sides
[tex]0.515-0.515 + P(M) = 1 - 0.515[/tex]
[tex]P(M) = 1 - 0.515[/tex]
[tex]P(M) = 0.485[/tex]
