a. What is the probability that eight out of the ten people recover?
Answer:
Given:
Probability of success $(p)=0.40$ and Sample size $(n)=10$
→ The probability that eight out of the ten people recover?
$P(x = 8) = \binom{n}{x} \cdot p^x \cdot (1 – p)^{n – x} = \binom{10}{8} \cdot 0.4^8 \cdot (1 – 0.4)^{10 – 8} = 0.010617 \approx 0.0106$
