Question

According to a report from a particular university, 46% of female undergraduates take on debt. Find the probability that none of the female undergraduates have taken on debt if 9female undergraduates were selected at randomWhat probability should be found?A PO female undergraduates take on debt)B. P(9 female undergraduates take on debt)CP(1 female undergraduate takes on debt)DP(2 female undergraduates take on debt)The probability that none of the female undergraduates take on debt is(Type an integer or decimal rounded to three decimal places as needed)Help Me Solve ThisView an ExampleGet More Help -Clear AllCheck Answer

Answer 1

From the given, we can obtain the following:

`P(9)=(1-0.46)^9`

Note that we subtracted 46% from 1 since we need to find P(0 female undergraduates take on debt).

Simplify the expression.

`\begin{gathered} P(9)=(0.54)^9 \\ \approx0.003904305912 \end{gathered}`

Therefore, the probability is approximately 0.004.