Ask Question
8 November, 02:04

The life of light bulbs is distributed normally. The standard deviation of the lifetime is 25 hours and the mean lifetime of a bulb is 510 hours. Find the probability of a bulb lasting for at most 552 hours. Round your answer to four decimal places.

+4
Answers (1)
  1. 8 November, 02:29
    0
    Answer: the probability of a bulb lasting for at most 552 hours is 0.953.

    Step-by-step explanation:

    Since the life of light bulbs are distributed normally, we would apply the formula for normal distribution which is expressed as

    z = (x - µ) / σ

    Where

    x = the life of light bulbs in hours.

    µ = mean hour

    σ = standard deviation

    From the information given,

    µ = 510 hours

    σ = 25 hours

    We want to find the probability of a bulb lasting for at most 552 hours. It is expressed as

    P (x ≤ 552)

    For x = 552

    z = (552 - 510) / 25 = 1.68

    Looking at the normal distribution table, the probability corresponding to the z score is 0.953
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The life of light bulbs is distributed normally. The standard deviation of the lifetime is 25 hours and the mean lifetime of a bulb is 510 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers