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# (Solved): For a Normal Distribution, $$\mu=12$$ and $$\sigma=1.5$$. Answer questions 7 thru 10 based on ...

For a Normal Distribution, $$\mu=12$$ and $$\sigma=1.5$$. Answer questions 7 thru 10 based on this information. (40 points) 7. What is $$\mathrm{P}(10.5 \leq \mathrm{X} \leq 15)$$ ? Show all the relevant work. If using Excel, you must show all the relevant Excel formulae used. (10 points) 8. What is $$\mathrm{P}(\mathrm{X} \geq 15)$$ ? Show all the relevant work. If using Excel, you must show all the relevant Excel formulae used. (10 points) 9. What is $$\mathrm{P}(\mathrm{X} \leq 10.5)$$ ? Show all the relevant work. If using Excel, you must show all the relevant Excel formulae used. (10 points) 10. Given that the probability to realize a value less than ' $$\mathrm{X}$$ ' is $$0.8$$, find the value of ' $$\mathrm{X}$$ '. Show all the relevant work. If using Excel, you must show all the relevant Excel formulae used. (10 points)

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