Now, let’s make things a bit more interesting and imagine that our coin is not fair. In fact, it lands on tails
70
% of the time. Consider the binomial experiment of flipping the coin 3 times and counting how many times tails lands face up, so
X
is the number of tails obtained in 3 coin flips.
Part A: What are the probability of success
(
p
)
and the probability of failure
(
1
−
p
)
for our new experiment?
Complete the following table describing the probability distribution of X . Use what you learned in Question 2, where a similar binomial experiment was explored but the coin was fair. For example, to find the probability of obtaining 1 tail in 3 flips, we would compute: