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StatisticsQ&A LibraryIdentify the proper distribution to use and then use it to find the indicated probability. Note if any of the events could be termed “unusual.” The monthly utility bills in a city are normally distributed with a mean of $100 and a standard deviation of $12. Find the probability that a randomly selected utility bill will be between $90 and $120.Distribution type: ________________ Probability: ________________Question

Asked Nov 17, 2019

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*Identify the proper distribution to use and then use it to find the indicated probability. Note if any of the events could be termed “unusual.” *

The monthly utility bills in a city are normally distributed with a mean of $100 and a standard deviation of $12. Find the probability that a randomly selected utility bill will be between $90 and $120.

Distribution type: ________________ Probability: ________________

Step 1

**Introduction:**

Suppose *X* is a continuous random variable that has mean *μ* and standard deviation, *σ*. If *X* is symmetric about *μ*, with a bell-shaped distribution, about 68% of the observations lie within 1 standard deviation (*σ*) of the mean *µ*, 95% lie within 2 standard deviations of the mean, and 99.7% lie within 3 standard deviations of the mean, and has the probability density function ...

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