Chapter 6, Problem 9PT

To determine

To calculate; the option that best describes the given random variable.

Answer to Problem 9PT

The right answer is option (b)

Explanation of Solution

A geometric distribution will have its highest bar in the given histogram at $X=1$ , therefore the distribution can be called as binomial distribution.

  $P(X=7)=0.001224$

With

  $n=8$

  $\begin{array}{l}binompdf(8,0.1,7)=0.00000072\\ binompdf(8,0.3,7)=0.00122472\\ binompdf(8,0.8,7)=0.33554432\end{array}$

It can be noted that if $p=0.3$ , the probability is matching up against the calculator’s probability.