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

The probability that the next adult you meet is female is 51.5%, and the probability that they are male is 48.5%, based on data from the United States Census Bureau.

Step-by-step explanation:

According to the information provided by the United States Census Bureau, approximately 51.5% of the adult population in America are women. Therefore, the probability that the next adult you meet will be female is 0.515 or 51.5%. Conversely, since probabilities must sum to 1, the probability of the next adult being male is 1 - 0.515, which is 0.485 or 48.5%. These probabilities are based on the assumption that meeting any adult is a random event and that the gender distribution in the adult population is accurately reflected by the percentage.

Answer 2

`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) = (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`