Predictable value using exponential distribution
Supposing that the mean parameter θ for the RV L is unknown. To estimation 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 appraised light bulbs that burn longer than 1000 hours. Supposing that X = 6 is observed. Use the hints below to estimate θ.
Presume X = E (X) and solve for θ.