The probability that, among nine of these people, at least 2 own a pet is ___. (Round to three decimal places as needed.)
Answer:
Given:
Probability of success $(p)=0.30$
Sample size $(n)=9$
Solution:
The probability that among nine of these people at least 2 own a pet:
$$ \text{P}(x \geq 2) = \sum_{2}^{9} \binom{n}{x} \cdot p^x \cdot (1-p)^{n-x} $$ $$ = \sum_{2}^{9} \binom{9}{x} \cdot 0.30^x \cdot (1-0.30)^{9-x} $$ $$ = 0.804$$
Final Answer:
The probability that among nine of these people at least 2 own a pet $=0.804$
