Answer to Question #283214 in Statistics and Probability for Fariz

Question

Manufacturers of electrical equipment produce incandescent lamps with a lifespan of 5000 hours. If the standard deviation is 60 hours. What is the probability that an incandescent lamp will last between 5000 and 5100 hours?

Answer 1

$P(5000\leq x\leq 5100)\\=P(\frac{5000-5000}{60} \leq z \leq \frac{5100-5000}{60})\\ P(0\leq z\leq 1.67)\approx 0.4525$