A pinata is a container filled with toys and candy and is broken open by hitting it with a stick The drawing above shows Sophia trying to break a pinata: The probability that she will break the pinata on the first hit is 0.7 She will continue to hit the pinata until it breaks. If she does not break the pinata on a particular hit; the pinata is weakened and the probability that she will break it on the next hit is 0.1 greater than the probability on the previous hit: For example; if the pinata does not break on the first hit, the probability that it will break on the second hit is 0.8. Calculate the probability that Sophia does not break the pinata on the first hit and does break the pinata on the second hit; b. Let the random variable X represent the number of hits required for Sophia to break the pinata. Complete the probability distribution of X in the table below: Probability of Calculate and interpret the expected value of X
