Determine the probability that exactly 12 of the 18 customers chose the chocolate cakes.
Answer:
Given information:
The probability of success $(p) = 0.65$
Sample size $(n) = 18$
Solution:
→ The probability that exactly 12 of the 18 customers chose the chocolate cakes :
$$\text{P}(x=12) = \binom{n}{x} \cdot p^{x} \cdot (1 – p)^{n-x} \bigg|_{x=12}$$ $$= \binom{18}{12} \cdot 0.65^{12} \cdot (1 – 0.65)^{18-12}$$ $$= 0.1941$$
