MAT2058_W1_Discussion

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Independence University *

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2058

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Aerospace Engineering

Date

Jun 26, 2024

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docx

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1

Uploaded by hagsgotu

Week 1 Discussion Hello, my assigned number for the week was number 9. The two problems I was assigned were from Chapter 7, Section 7.1 number 42 and Chapter 7, Section 7.2 number #36ab. #42 My first question is to find the z-scores that bound the middle 98% of the area under the standard normal curve. Answer: .98 − 1 =− 0.02 My second question is about; Electric bills: According to the U.S. Energy Information Administration, the mean monthly household electric bill in the United States in a recent year was $110.14. Assume the amounts are normally distributed with standard deviation $20.00. a. What proportion of bills are greater than $130? b. What proportion of bills are between $85 and $140? Answer: a. z = 130 − 110.14 20 = .993 P ( Z ≤ .0993 ) = .05398 b. z = ( 85 − 110.14 ) 20 =− 1.257 140 − 110.14 20 = 1.493 c.
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