In a recent experiment a student takes a random multiple choice test until he obtains a passing grade. It is KNOWN that the probability of passing each time is a constant 20%. (a) What distribution does situation follow and what are the parameters (b) What is the mean of this distribution? (c) What are the variance and standard deviation for this distribution? (d) Using tables (some are on on D2L - some you might need to find online) what percentage of data exists within 1, 2 and 3 standard deviations of the mean. Compare this in a well presented table to both Chebyshevs' rules and the Empirical Rule.