12. Andrew rollled a fair die 24 times. a. What is the probability that a 4 occurs no than once? more

Computer Networking: A Top-Down Approach (7th Edition)
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12. 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 frst 4 occurs at the 5th roll?
d. Find the expected number of rolls until the frst 4 appears. Assume that
Andrew continues rolling the die if the frst 4 doesn't appear in frst 24
trials.
Transcribed Image Text:12. 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 frst 4 occurs at the 5th roll? d. Find the expected number of rolls until the frst 4 appears. Assume that Andrew continues rolling the die if the frst 4 doesn't appear in frst 24 trials.
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