Question

For each probability and percentile problem, draw the picture.

Suppose that the useful life of a particular car battery, measured in months, decays with parameter 0.02. We are interested in the life of the battery.

PART F

• Find the probability that a car battery lasts more than 32 months. (Round your answer to four decimal places.)
  

• Part (g)

  80% of the batteries last at least how long? (Round your answer to two decimal places.)
  months

Answer 1

f) The probability that a car battery lasts loner than 32 months is computed here as:

Therefore 0.5273 is the required probability here.

This is shown in the graph here as:

g) Let 80% of the batteries last at least M months. Then, we have here:

This is shown in the plot as: