Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $108.22. Assume the amounts are normally distributed with standard deviation $19.00. Use the TI-84 Plus calculator to answer the following. (a) What proportion of bills are greater than $125? (b) What proportion of bills are between $82 and $135? (c) What is the probability that a randomly selected household had a monthly bill less than $111? Round the answers to at least four decimal places. 70°F Clear Part 1 of 3 F1 The proportion of bills that are greater than $125 is 2 Part 2 of 3 The proportion of bills that are between $82 and $135 is @ 2 F2 3 F3 4+ F4 $ 4 F5 % 5 H F6 6 0 F7 & 7 X F8 X * 8 $ F9 Ś COLM F10 ( 9 Submit Assignment Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility F11 --- ) 0 F12 Insert + PrtSc Delete Backspace Home ►/11 Num Lock End 1 4) D Pol V

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Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $108.22. Assume the
amounts are normally distributed with standard deviation $19.00. Use the TI-84 Plus calculator to answer the following.
(a) What proportion of bills are greater than $125?
(b) What proportion of bills are between $82 and $135?
(c) What is the probability that a randomly selected household had a monthly bill less than $111?
Round the answers to at least four decimal places.
70°F
Clear
Part 1 of 3
F1
The proportion of bills that are greater than $125 is
Part 2 of 3
The proportion of bills that are between $82 and $135 is
@
2
F2
3
F3
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F4
$
4
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7
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X
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8
S
F9
S
COLM
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9
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Submit Assignment
Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility
☎ :))
F11
add
)
0
F12
Insert
+
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Delete
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►/11
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V
Transcribed Image Text:Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $108.22. Assume the amounts are normally distributed with standard deviation $19.00. Use the TI-84 Plus calculator to answer the following. (a) What proportion of bills are greater than $125? (b) What proportion of bills are between $82 and $135? (c) What is the probability that a randomly selected household had a monthly bill less than $111? Round the answers to at least four decimal places. 70°F Clear Part 1 of 3 F1 The proportion of bills that are greater than $125 is Part 2 of 3 The proportion of bills that are between $82 and $135 is @ 2 F2 3 F3 4+ F4 $ 4 F5 % 5 H F6 6 0 F7 & 7 X F8 X * 8 S F9 S COLM F10 ( 9 S Submit Assignment Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility ☎ :)) F11 add ) 0 F12 Insert + PrtSc Delete Backspace Home ►/11 End Num 1 Lock Pgl V
Expert Solution
Step 1

Given, mean is 108.22 and standard deviation is 19.

We will use z-standard normal distribution.

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