Question

The useful life T of light bulbs may be modeled with the exponential PDF as: in which λ is the parameter of the distribution. Given measurements of light bulbs, useful life 1100, 1250, 1890, 1250, 1640, 1780 in hours (h). a1 (10pt). Estimate the sample mean and sample standard deviation of the observed sample Q2 (20pt). Estimate the parameter 2 by the method of maximum likelihood 23 (10pt). Estimate the parameter A by the method of moments.

Answer 1

S= 326-7262 z0.ooo 6 ד3 1485 M ME

px区 over t

0D 「ス 2