Chapter 6.3, Problem 76E

To determine

To calculate; the value of $P(Y=1)$ .

Answer to Problem 76E

The chance of getting 1 out of 10 plants dying is $31.51\%$ .

Explanation of Solution

Given;

  $\begin{array}{l}n=10\\ p=0.05\end{array}$

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}$\end{array}$

  $\text{P(1) = }\left(\begin{array}{l}10\\ 1\end{array}\right)\times {(0.05)}^1\times {(0.95)}^{10-1}\approx 0.3151$