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Sagot :
Answer:
The Probability that someone lives in their home for 40 years or more
[tex]P(X\geq 40 ) = P( Z\geq3.50 )[/tex] = 0.0002
Step-by-step explanation:
Explanation:-
Given mean of the Population = 20 years
The standard deviation of the Population = 5.7 years
Let 'X' be the random variable in normal distribution
[tex]Z = \frac{x-mean }{S.D} = \frac{40-20}{5.7} = 3.508[/tex]
The Probability that someone lives in their home for 40 years or more
[tex]P(X\geq 40 ) = P( Z\geq3.50 )[/tex]
= 1 - P( Z< 3.50)
= 1 - ( 0.5 + A(3.50)
= 0.5 - 0.4998 ( from normal table )
= 0.0002
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