Question

Your friend has a coln that is not fair. It comes up heads 70% of the time and talls 30% of the time. You flip it twice. Let Xbe the number of heads that come up. Find the probability distribution for X

Answer 1

Let X be the number of heads that come up

`\begin{gathered} \text{Probability of head = 70\% = }(70)/(100) \\ \text{Probability of tail = 30\% = }(30)/(100) \end{gathered}`

Step 1: Write out the formula for the binomial probability distribution

`P_x=^nC_xp^xq^(n-x)`