SOA Exam P Sample Question 68
Study guide: Exam P-1
A company manufactures a brand of light bulb with a lifetime in months that is normally distributed with mean 3 and variance 1. A consumer buys a number of these bulbs with the intention of replacing them successively as they burn out. The light bulbs have mutually independent lifetimes.
Calculate the smallest number of bulbs to be purchased so that the succession of light bulbs produces light for at least 40 months with probability at least 0.9772.
- A) 14
- B) 16
- C) 20
- D) 40
- E) 55
Answer this question and see the worked solution