5. A slot machine wins on 11% of its spins. The outcome of one spin is independent of any other. (a) You play the slot machine 175 times. Let p be the proportion of spins on which you win. Calculate the mean and standard deviation of p. (b) Explain what it means for the sample proportion p to be an unbiased estimator of the population proportion p. (c) If you play the slot machine 200 times, what is the approximate probability you win on at least 14% of your spins? (d) If you play the slot machine 125 times, what is the approximate probability you win between 10% and 12% of the time? (e) If you play the slot machine 150 times, what is the approximate probability you win less than 27 times