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How many times the word "Hello" will be printed?

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Final answer:

The question as posed does not contain enough information to determine how many times 'Hello' will be printed. For the probability example provided, the calculation would involve using a Poisson distribution to find the probability of the news reporter saying 'uh' more than two times, which requires summing the probabilities of all occurrences greater than two.

Step-by-step explanation:

The question regarding the word 'Hello' being printed does not provide enough information for a precise answer. However, tackling the example given, involving a news reporter saying 'uh' on average two times per broadcast we can address a similar probability question.

Assuming that the number of times the reporter says 'uh' follows a Poisson distribution, which is often used for counting occurrences over a fixed interval (like 'uh' in a broadcast), the average rate (lamda) being 2.

To calculate the probability of the reporter saying 'uh' more than two times per broadcast, we need to find the sum of the probabilities of the reporter saying 'uh' 3, 4, 5, and so forth times.

The probability of observing exactly k occurrences when the average number is lamda is given by the formula from the Poisson distribution: P(X=k) = (e^{-lamda} * lamda^k) / k!.

Since the question asks for 'more than two times', we need to calculate 1 - P(X≤2) (the probability of 0, 1, or 2 occurrences). This requires calculating the probabilities for k=0, k=1, and k=2, and then summing them up and subtracting from 1.

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