Assignment:
Suppose that a particular light bulb is advertised as having an average lifetime of 2,000 hours and is known to satisfy an exponential failure law. Suppose for simplicity that the bulb is used continuously. Find the probability that the bulb lasts
a. More than 3,000 hours.
b. Less than 1,500 hours.
c. Between 2,000 and 2,500 hours.
Provide complete and step by step solution for the question and show calculations and use formulas.