**Problem Statement:**TKK Products manufactures 50-, 60-, 75-, and 100-watt electric light bulbs. Laboratory tests show that the lives of these light bulbs are normally distributed with a mean of 650 hr and a standard deviation of 100 hr. What is the probability that a TKK light bulb selected at random will burn for the following times? (Round your answers to four decimal places.)**Questions:**(a) Probability of more than 850 hr [Input Box](b) Probability of less than 450 hr [Input Box](c) Probability between 650 and 850 hr [Input Box](d) Probability between 450 and 675 hr [Input Box]*Note:* You may need to use the appropriate table in the [Appendix of Tables](#) to answer this question.---**Explanation:**These questions involve calculating the probability under a normal distribution, given specific time ranges for the lifespan of light bulbs. To find these probabilities, you will often use standard normal distribution tables or calculation tools.

Let us denote: X=lives of the bulbs Given that X follows a normal distribution with mean= 650 and standard deviation= 100So the probability that X>850 is:P(X>850)=PZ>850-650100=P(Z>2)=0.0228Answer(a): 0.0228So the probability that X<450 is:P(X<450)=PZ<450-650100=P(Z<-2)=0.0228Answer(b): 0.0228So the probability that 650<X<850 is:P(650<X<850)=P650-650100<Z<850-650100=P(0<Z<2)=0.4772Answer(c): 0.4772So the probability that 450<X<675 is:P(450<X<675)=P450-650100<Z<675-650100=P(-2<Z<0.25)=0.5760Answer(d): 0.5760

Math

Probability

TKK Products manufactures 50-, 60-, 75-, and 100-watt electric light bulbs. Laboratory tests show that the lives of these light bulbs are normally distributed with a mean of 650 hr and standard deviation of 100 hr. What is the probability that a TKK light bulb selected at random willI burn for the following times? (Round your answers to four decima places.) (a) more than 850 hr (b) less than 450 hr (c) between 650 and 850 hr (d) between 450 and 675 hr You may need to use the appropriate table in the Appendix of Tables to answer this question.

TKK Products manufactures 50-, 60-, 75-, and 100-watt electric light bulbs. Laboratory tests show that the lives of these light bulbs are normally distributed with a mean of 650 hr and standard deviation of 100 hr. What is the probability that a TKK light bulb selected at random willI burn for the following times? (Round your answers to four decima places.) (a) more than 850 hr (b) less than 450 hr (c) between 650 and 850 hr (d) between 450 and 675 hr You may need to use the appropriate table in the Appendix of Tables to answer this question.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

**Problem Statement:**

TKK Products manufactures 50-, 60-, 75-, and 100-watt electric light bulbs. Laboratory tests show that the lives of these light bulbs are normally distributed with a mean of 650 hr and a standard deviation of 100 hr. What is the probability that a TKK light bulb selected at random will burn for the following times? (Round your answers to four decimal places.)

**Questions:**

(a) Probability of more than 850 hr
[Input Box]

(b) Probability of less than 450 hr
[Input Box]

(c) Probability between 650 and 850 hr
[Input Box]

(d) Probability between 450 and 675 hr
[Input Box]

*Note:* You may need to use the appropriate table in the [Appendix of Tables](#) to answer this question.

---

**Explanation:**

These questions involve calculating the probability under a normal distribution, given specific time ranges for the lifespan of light bulbs. To find these probabilities, you will often use standard normal distribution tables or calculation tools.

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