The probability that more than 5 patients will have this mild side effect is ___. (Round to three decimal places as needed.)
Answer:
Given:
Probability of success $(p)=0.15$
Sample size $(n)=25$
Solution:
The probability that more than 5 patients will have this mild side effect:
$\text{P}(x > 5) = \sum_{6}^{25} \binom{n}{x} \cdot p^x \cdot (1-p)^{n-x} = \sum_{6}^{25} \binom{25}{x} \cdot 0.15^x \cdot (1-0.15)^{25-x} = 0.1615$
Final Answer:
The probability that more than 5 patients will have this mild side effect $=0.1615$
