The probability that more than 4 patients will have this mild side effect is ___. (Round to three decimal places as needed.)
Answer:
Given:
Probability of success $(p)=0.40$
Sample size $(n)=12$
Solution:
The probability that more than 4 patients will have this mild side effect:
$\text{P}(x > 4) = \sum_{5}^{12} \binom{n}{x} \cdot p^x \cdot (1-p)^{n-x} = \sum_{5}^{12} \binom{12}{x} \cdot 0.40^x \cdot (1-0.40)^{12-x} = 0.5618$
Final Answer:
The probability that more than 4 patients will have this mild side effect $=0.5618$
