Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 56 hours and a standard deviation of 3.3 hours. With this information, answer the following questions. (a) What proportion of light bulbs will last between 59 and 61 hours? (b) What is the probability that a randomly selected light bulb lasts less than 45 hours? (a) The proportion of light bulbs that lasts between 59 and 61 hours is O. (Round to four decimal places as needed.) (b) The probability that a randomly selected light bulbs lasts less than 45 hours isO (Round to four decimal places as needed )

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**Transcription for Educational Website: Statistical Problems on Light Bulb Lifetimes**

Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 56 hours and a standard deviation of 3.3 hours. With this information, answer the following questions:

1. **What proportion of light bulbs will last between 59 and 61 hours?**
   
   The proportion of light bulbs that last between 59 and 61 hours is _____. (Round to four decimal places as needed.)

2. **What is the probability that a randomly selected light bulb lasts less than 45 hours?**
   
   The probability that a randomly selected light bulb lasts less than 45 hours is _____. (Round to four decimal places as needed.)

Enter your answer in each of the answer boxes.

---

*Note*: The image does not contain graphs or diagrams. It is a screenshot of a problem set interfaced in an online educational setting, showing two statistical questions related to normally distributed data. The notification that a screenshot was saved to OneDrive is visible but not relevant to the content of the problem.
Transcribed Image Text:**Transcription for Educational Website: Statistical Problems on Light Bulb Lifetimes** Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 56 hours and a standard deviation of 3.3 hours. With this information, answer the following questions: 1. **What proportion of light bulbs will last between 59 and 61 hours?** The proportion of light bulbs that last between 59 and 61 hours is _____. (Round to four decimal places as needed.) 2. **What is the probability that a randomly selected light bulb lasts less than 45 hours?** The probability that a randomly selected light bulb lasts less than 45 hours is _____. (Round to four decimal places as needed.) Enter your answer in each of the answer boxes. --- *Note*: The image does not contain graphs or diagrams. It is a screenshot of a problem set interfaced in an online educational setting, showing two statistical questions related to normally distributed data. The notification that a screenshot was saved to OneDrive is visible but not relevant to the content of the problem.
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