The probability that more than 8 patients will have this mild side effect is ___. (Round to three decimal places as needed.)
Answer:
Given:
Probability of success $(p)=0.30$
Sample size $(n)=20$
Solution:
The probability that more than 8 patients will have this mild side effect:
$\text{P}(x > 8) = \sum_{9}^{20} \binom{n}{x} \cdot p^x \cdot (1-p)^{n-x} = \sum_{9}^{20} \binom{20}{x} \cdot 0.30^x \cdot (1-0.30)^{20-x} = 0.1133$
Final Answer:
The probability that more than 8 patients will have this mild side effect $=0.1133$
