The expected (mean) life of a particular type of light bulb is 1,000 hours with a standard deviation of 50 hours. The life of this bulb is normally distributed. What is the probability that a randomly selected bulb would last fewer than 1100 hours? 0.4772 0.9772 0.0228 0.5228 0.5513
Added by Kevin L.
Step 1
The z-score is calculated by subtracting the mean from the value and then dividing by the standard deviation. So, (1100 - 1000) / 50 = 2. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Narayan Hari and 58 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The expected (mean) life of a particular type of light bulb is 1,000 hours with a standard deviation of 50 hours. The life of this bulb is normally distributed. Which most closely reflects the probability that a randomly selected bulb would last longer than 1150 hours? Select one: a. 0.9987 b. 0.5513 c. 0.0013 d. 0.4987 e. 0.5013
Ahmet Y.
Sri K.
Lifetime of light bulbs A manufacturer of light bulbs finds that the mean lifetime of a bulb is 1200 hours. Assume the life of a bulb is exponentially distributed. a. Find the probability that a bulb will last less than its guaranteed lifetime of 1000 hours. b. In a batch of light bulbs, what is the expected time until half the light bulbs in the batch fail?
Techniques of Integration
Probability
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD