a new extended-life lightbulb has an average life of 750 hours, with a standard deviation of 50 hours. if the life of these lightbulbs approximates a normal distribution, about what percent of the distribution will be between 600 hours and 900 hours?

The typical lifespan of a brand-new extended-life light bulb is 750 hours, with a standard deviation of 50 hours. If these light bulbs' lifespans roughly follow a normal distribution, then 99.7% of the distribution will fall between 600 and 900 hours.

According to the Empirical Rule, 68% of measurements for a randomly distributed variable with a normal distribution are within one standard deviation of the mean.Within two standard deviations of the mean, 95% of the measurements are.

99% of the measurements fall within a 3 SD range of the mean.

This issue involves that:

Mean = 750

50 is the standard deviation

Approximately proportion of the distribution will fall in the range of 600 to 900 hours,

600 = 750 - 3*50

Three standard deviations away from the mean is 600.

900 = 750 + 3*50

3 standard deviations are added to the mean, or 900.

According to the Empirical Rule, between 600 and 900 hours will make up 99.7% of the distribution.

Learn more about Normal Distribution method here

https://brainly.com/question/15103234

#SPJ4