Chapter 12.7, Problem 16PPS

To determine

To calculate: the probability that Mr. and Mrs. Davis will have at least 2 boys

Answer to Problem 16PPS

The required probability is 0.50

Explanation of Solution

Given information:

Mr. and Mrs. Davis have 3 children and the probability of each child being a boy is 50%

Calculation:

The probability that they will have a least 2 boys is

  $\begin{array}{l}P(X\ge 2)=1-P(X\le 1)\\ $ =1-{\displaystyle \sum }_{x=0}^1\left(\begin{array}{c}3\\ x\end{array}\right){(0.50)}^3$=1-0.50\\ =0.50\end{array}$

Hence, required probability is 0.50