Question

2019 Fall EnrollmentEthnicityProbability of occurrenceWhite, Non-Hispanic0.7833Hispanic0.0865Asian or Pacific Islander0.0708Black, Non-Hispanic0.0536Other0.0058If two WPCC students are chose randomly, what is the probability of choosing both students that are Asian or Pacific Islander?Answer:

Answer 1

0.00501264

Explanation:

Being two independent events, the final probability is the product between the probability in each event.

Given:

P(Asian or Pacific Islander) = 0.0708

Therefore:

`\begin{gathered} P(\text{2 Asian or Pacific Islander) }=P(\text{Asian or Pacific Islander)}\cdot P(\text{Asian or Pacific Islander)} \\ \text{ We replacing:} \\ P(\text{2 Asian or Pacific Islander) }=0.0708\cdot0.0708 \\ P(\text{2 Asian or Pacific Islander) }=0.00501264 \end{gathered}`

The probability that both belong to that ethnicity is 0.00501264