Chapter 6, Problem 8PT

To determine

To calculate; the probability that the hospitals capacity will be exceeded.

Answer to Problem 8PT

The right answer is option (b)

Explanation of Solution

Given;

  $\begin{array}{l}n=17\\ p=0.40\end{array}$

Explanation;

  $\begin{array}{l}\text{Definition Binomial Probability:}\\ $ \text{P(X = k) = }\left(\begin{array}{l}n\\ k\end{array}\right)\times p^k\times {(1-p)}^{n-k}$\end{array}$

  $P(X\ge 10)=P(X=11)+P(X=12)+\mathrm{...}+P(X=17)=0.035=3.5\%$