(Answered) Question 1 a single six-sided die is rolled repeatedly

Statistics

Question: 1. A single six-sided die is rolled repeatedly until either a one or a six turns up. What is the probability that the first appearance of either of these numbers is achieved by the fifth trial or sooner?

2. Consider a Bernoulli sequence with probability p = 0:53 of success on any component trial.

a. The probability the fourth success will occur no later than the tenth trial is determined by the negative binomial distribution. Use the procedure nbinom to calculate this probability.

b. Calculate this probability using the binomial distribution.

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