Suppose that the lifetime of a certain type of lamp has an exponential distribution for which the

Question:

Suppose that the lifetime of a certain type of lamp has an exponential for which the value of the parameter β is unknown. A random sample of n lamps of this type are tested for a period of T hours and the number X of lamps that fail during this period is observed, but the times at which the failures occurred are not noted. Determine the M.L.E. of β based on the observed value of X.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...