2. Andrew rolled a fair die 24 times. a. What is the probability that a 4 occurs no more than once? b. Find the mean and variance of the probability distribution of the number of 4's occurred in this experiment. c. What is the probability that the first 4 occurs at the 5th roll? d. Find the expected number of rolls until the first 4 appears. Assume that Andrew continues rolling the die if the first 4 doesn't appear in first 24 trials.

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