SOLUTION: Orders received by a particular firm have amounts that
follow a normal distribution with a mean of RM103.60 and
a standard deviation of RM8.75.
(a) What percentage of orders wil
Algebra.Com
Question 1162958: Orders received by a particular firm have amounts that
follow a normal distribution with a mean of RM103.60 and
a standard deviation of RM8.75.
(a) What percentage of orders will have amount below
RM120.05?
(b) What percentage of orders will have amount over
RM92.75?
(c) What will be the amount such that approximately
25% of orders are for greater amounts?
(d) Above what amount will 90% of orders lie?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
mean is 103.6
standard deviation is 8.75
i used the online statistics calculator at https://homepage.divms.uiowa.edu/~mbognar/applets/normal.html
i confirmed the solutions are correct using the TI-84 Plus.
(a) What percentage of orders will have amount below
RM120.05?
my inputs were:
mean = 103.6
standard deviation = 8.75
x = 120.05
p(X < x) = .96995
(b) What percentage of orders will have amount over
RM92.75?
my inputs were:
mean = 103.6
standard deviation 8.75
x = 92.75
p(X > x) = .89251
(c) What will be the amount such that approximately
25% of orders are for greater amounts?
my inputs were:
mean = 103.6
standard deviation = 8.75
p(X > x) = .25
x = 109.50179
(d) Above what amount will 90% of orders lie?
my inputs were:
mean = 103.6
standard deviation = 8.75
p(X > x) = .90
x = 92.38642
RELATED QUESTIONS
Invoices at a particular depot have amounts, which follow a Normal distribution with a... (answered by ewatrrr)
The amounts of electricity bills for all households in a particular city have an... (answered by Theo)
A typical customer orders at Amazon.com, X( a random variable) is assumed to follow a... (answered by ewatrrr)
The operations manager of a motor vehicle accessories firm with branches in Limpopo and... (answered by Boreal)
The operations manager of a motor vehicle accessories firm with branches in Limpopo and... (answered by ikleyn)
A popular retail store knows that the purchase amounts by its customers is a random... (answered by FrankM)
The amounts of money requested on home loan applications at Down River Federal Savings... (answered by Boreal)
On a particular test, IQ scores for adults follow a bell-shaped (symmetric) distribution... (answered by ewatrrr)
The heights of boys at a particular age follow a normal distribution with mean 150.3 cm... (answered by ewatrrr)