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Delicious77 [7]
3 years ago
13

A homeowner stays in a single location for an average of 20 years with a standard deviation of 5.7 years. What are the chances t

hat someone lives in their home for 40 years or more?
Mathematics
1 answer:
dolphi86 [110]3 years ago
4 0

Answer:

The Probability that someone lives in their home for 40 years or more

P(X\geq 40 ) =  P( Z\geq3.50 ) = 0.0002

Step-by-step explanation:

<u><em>Explanation</em></u>:-

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

Z = \frac{x-mean }{S.D} = \frac{40-20}{5.7} = 3.508

The Probability that someone lives in their home for 40 years or more

P(X\geq 40 ) =  P( Z\geq3.50 )

                 =  1 - P( Z< 3.50)

                = 1 - ( 0.5 + A(3.50)

                = 0.5 - 0.4998     ( from normal table )

               = 0.0002

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Now, I’m assuming that you know that in order to add fractions, both fractions must have the same denominator (bottom number in a fraction). Since these fractions do not have the same denominator, we must give them one.


To find the lowest common denominator (which will help us solve this problem), we must find out what 2 & 3 go into. Well, both numbers go into 6!


So, if the denominator is now 6, you must multiply the numerator (numbers about the “/” line in this case are both 1) by how much you multiplied its denominator by.


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There you go! I really hope this helped, if there's anything just let me know! :)

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