(a) Based on a recent study, the monthly utility bills for three-room flats in Singapore can be assumed to be normally distributed with mean $135 and standard deviation $42. If a household living in a three-room flat is randomly selected, i. What is the probability that its utility bill is more than $155 ii. What is the probability that its utility bill is between $129 and $165? ii. If 20% of the utility bills for households living in three-room flats are above a certain value V, find the value of V.
(a) Based on a recent study, the monthly utility bills for three-room flats in Singapore can be assumed to be normally distributed with mean $135 and standard deviation $42. If a household living in a three-room flat is randomly selected, i. What is the probability that its utility bill is more than $155 ii. What is the probability that its utility bill is between $129 and $165? ii. If 20% of the utility bills for households living in three-room flats are above a certain value V, find the value of V.
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![(a) Based on a recent study, the monthly utility bills for three-room flats in Singapore
can be assumed to be normally distributed with mean $135 and standard deviation
$42.
If a household living in a three-room flat is randomly selected,
i.
What is the probability that its utility bill is more than $155
ii.
What is the probability that its utility bill is between $129 and $165?
ii.
If 20% of the utility bills for households living in three-room flats are above a
certain value V, find the value of V.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f1a66ed-901c-4998-917e-2f8ae49ff16f%2Fcdf05c1b-85b2-43ff-8ddd-f3ada8d02c6f%2F24v1wu6.jpeg&w=3840&q=75)
Transcribed Image Text:(a) Based on a recent study, the monthly utility bills for three-room flats in Singapore
can be assumed to be normally distributed with mean $135 and standard deviation
$42.
If a household living in a three-room flat is randomly selected,
i.
What is the probability that its utility bill is more than $155
ii.
What is the probability that its utility bill is between $129 and $165?
ii.
If 20% of the utility bills for households living in three-room flats are above a
certain value V, find the value of V.
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