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loris [4]
3 years ago
10

The lifetimes of light bulbs of a particular type are normally distributed with a mean of 350 hours and a standard deviation of

6 hours. What percentage of the bulbs have lifetimes that lie within 1 standard deviation to either side of the mean?
Mathematics
1 answer:
musickatia [10]3 years ago
5 0

Answer:

By the Empirical Rule, approximately 68% of the bulbs have lifetimes that lie within 1 standard deviation to either side of the mean.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

What percentage of the bulbs have lifetimes that lie within 1 standard deviation to either side of the mean?

By the Empirical Rule, approximately 68% of the bulbs have lifetimes that lie within 1 standard deviation to either side of the mean.

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Answer:

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Put this over the denominator

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Hi There!

Change all the fractions to decimal you do that by dividing numerator by the denominator. Remember \frac{1}{2}   as a decimal is 0.5

A=  \frac{3}{7}  =    0.43

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Based, on the data above B,C,E are greater than \frac{1}{2} because they all have decimals greater than 0.5, B= 0.6, C= 0.8, E=0.6

So, \frac{5}{9} ,\frac{8}{10} ,\frac{3}{5}  are all greater than \frac{1}{2}

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