Question

According to the United States Census Bureau. Just about 5 1.5% of the adults in America are women. What would you say is the probability that the next adult you run into is female? What's the probability of that person being male?

Answer 1

Answer:

$P(F) = 0.515$

$P(M) = 0.485$

Step-by-step explanation:

Given

$Female = 51.5\%$

Solving (a): Probability of running into a female

To do this, we simply convert the given proportion to decimal

$P(F) = 51.5\%$

Convert to fraction

$P(F) = \frac{51.5}{100}$

$P(F) = 0.515$

Solving (b): Probability of running into a male

Represent this with $P(M)$

To solve this, we apply the concept of probability complement which states that:

$p + q = 1$

In this case:

$P(F) + P(M) = 1$

Substitute 0.515 for P(F)

$0.515 + P(M) = 1$

Subtract 0.515 from both sides

$0.515-0.515 + P(M) = 1 - 0.515$

$P(M) = 1 - 0.515$

$P(M) = 0.485$