In each of a series of independent trials, a success occurs with a constant probability of 0.9.

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In each of a series of independent trials, a success occurs with a constant probability of 0.9.

a. The probability that none of the first n trials results in a failure is less than 0.3. Find the least possible value of n.

b. State the most likely trial in which the first success will occur.

c. Use a suitable approximation to calculate an estimate of the probability that fewer than 70 successes occur in 80 trials.

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