Question 1174090: The average income of the residents of a particular community is your roll no *1000 and sd is your roll no *100:
(a) What is the probability that income of a person, selected at random, is more than average income?
(b) What is the probability that income of a person, selected at random, is between average income and average income +2000?
(c) What is the probability that income of a person, selected at random, is bbetween average income+1000 and average income +2000?
(d) What is the probability that income of a person, selected at random, is less than average income +1000?
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi,
Above is the Standard Normal Curve: μ = 0 and σ = 1
Included are various z-scores demonstrating the AREA
under the Standard Normal distribution Curve according to the
value of a particular z-score.
PROBABILITY of a particular x-value is an AREA as defined by 
to the left of that z-score and is commonly written as P(z ≤ its value)
Whether one uses a z-score /table 0r a calculator, Probability will be
computed as representing an Area under the Standard Normal Curve.
In Your case: μ = 1000 and σ = 100
(a) P(x > 1000) is the Area to the right of μ = 1000
(According to the Above, obviously it is 50% of the Area under the curve 0r P = .50
P (x > 1000) can be written as 1- P(x ≤ 1000) = .50
(b) P(1000 ≤ x < 1000) = P(1000 ≤ x ≤ 2000) = normalcdf(1000,2000,1000,100)
(c) P(1000 < x < 1000) = P(1000 ≤ x ≤ 2000) = normalcdf(1000,2000,1000,100)
(d) P(x < 1000) = P(x ≤ 1000) = .5
Wish You the Best in your Studies.
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