Normal distributions are very commonly used for quality control in manufacturing. For example, a manufacturer of light bulbs would surely be interested in studying how long their bulbs last. In one case, the lifetime of one model of light bulb is normally distributed and has a mean X = 2400 hours and a standard deviation of s = 150 hours. What percentage of bulbs would you expect to last longer than 1950 hours? 34.1% 34.1% 0.1% 13.6% 13.6% 0.1% 2.2% 2.2% X-3s X-2s X-s X+s X+2s X+3s O 0.1% O 97.7% O 50% O 99.9%

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Normal distributions are very commonly used for quality control in manufacturing. For example, a manufacturer of
light bulbs would surely be interested in studying how long their bulbs last. In one case, the lifetime of one model
of light bulb is normally distributed and has a mean X=2400 hours and a standard deviation of s = 150 hours.
What percentage of bulbs would you expect to last longer than 1950 hours?
34.1%
34.1%
0.1%
13.6%
13.6%
0.1%
2.2%
2.2%
X–3s
X-2s
X-s
X+s
X+2s
X+3s
O 0.1%
O 97.7%
O 50%
O 99.9%
Transcribed Image Text:Normal distributions are very commonly used for quality control in manufacturing. For example, a manufacturer of light bulbs would surely be interested in studying how long their bulbs last. In one case, the lifetime of one model of light bulb is normally distributed and has a mean X=2400 hours and a standard deviation of s = 150 hours. What percentage of bulbs would you expect to last longer than 1950 hours? 34.1% 34.1% 0.1% 13.6% 13.6% 0.1% 2.2% 2.2% X–3s X-2s X-s X+s X+2s X+3s O 0.1% O 97.7% O 50% O 99.9%
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