AIR MATH

Math Question

According to a survey, \( 15 \% \) of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability that exactly 6 workers take the bus to work? Round the answer to the nearest thousandth.
\( \begin{aligned} P(k \text { successes }) &={ }_{n} C_{k} p^{k}(1-p)^{n-k} \\{ }_{n} C_{k} &=\frac{n !}{(n-k) ! \cdot k !} \end{aligned} \)
\( 0.001 \)
\( 0.002 \)
\( 0.128 \)
\( 0.899 \)

Solution

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