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: ________________

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Expert Answer

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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