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?