Question

Random variable X is binomially distributed with aprobability of success p = 0. 65. After 12 trials,

Answer 1

Question A

Recall

`\begin{gathered} P=0.65 \\ n=12 \\ p\text{ \lparen success\rparen=0.65} \end{gathered}`
`\begin{gathered} P(6)=(12!)/((12-6)!6!)*0.65^6*0.35^(12-6) \\ \\ P(6)=(12!)/((12-6)!6!)*0.65^6*0.35^6 \\ \\ P(6)=924*0.65^6*0.35^6 \\ \\ P(6)=0.1281 \\ \end{gathered}`

The final answer

`0.12810`