An "Airplay" feature at Wohlers Hall has a malfunction on 30% of all lecture slides. Suppose malfunctions are independent (and each slide can either have no malfunctions or one malfunction). a) If 4 slides were shown, what is the probability that 2 out of the 4 slides experienced a malfunction? First write the distribution and a probability statement. Calculate by hand Calculate using R function (you can write the code that you would use) b) Suppose the 2nd malfunction occurs on the Y th slide. What is the distribution of Y ? c) What is the probability that Y 3? (Before you calculate the result, make an intuitive guess as to whether this is a rare event or high probability event.) Calculate by hand Calculate using R function (you can write the code that you would use) d) What is the expectation of Y