(Answered) Question 1 random variable x binomial 1000 01a determine p

Statistics

Question: 1. Random variable X ~ binomial (1000, 0.1).

a. Determine P (X ≥80), P (X ≥100) ; P (X ≥120)

b. Use the appropriate Poisson distribution to approximate these values.

2. The time to failure, in hours of operating time, of a televesion set subject to random voltage surges has the exponential (0.002) distribution. Suppose the unit has operated successfully for 500 hours. What is the (conditional) probability it will operate for another 500 hours?

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