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Approximation of binomial distribution.

Suppose that the mean parameter θ for the RV L is unknown. To estimate it a random sample of n = 10 light bulbs is selected as well as the lifetime of each light bulb is measured. Let X denote the number of those 10 sampled light bulbs that burn longer than 1000 hours.

Presume that X = 6 is observed. Use the hints below to estimate θ.

describe what kind of RV is X?

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