Question: The probabilities that a certain electronic component will last less than 50 hours in continuous use, between 50 and 90 hours, or more than 90

The probabilities that a certain electronic component will last less than 50 hours in continuous use, between 50 and 90 hours, or more than 90 hours, are p1 = 0.2, p2 = 0.5, and p3 = 0.3, respectively. The time to failure of eight such electronic components will be recorded. Find the probability that one of the eight will last less than 50 hours, five will last between 50 and 90 hours, and two will last more than 90 hours.

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