SOLUTION: PLEASE BE AS DETAILED AS POSSIBLE SO I CAN UNDERSTAND THE STEP BY STEP PROCESS! Thanks so much!!! Essay. According to the U. S. Census Bureau, the total 2008 U.S. population was

Algebra ->  Probability-and-statistics -> SOLUTION: PLEASE BE AS DETAILED AS POSSIBLE SO I CAN UNDERSTAND THE STEP BY STEP PROCESS! Thanks so much!!! Essay. According to the U. S. Census Bureau, the total 2008 U.S. population was      Log On


   



Question 443204: PLEASE BE AS DETAILED AS POSSIBLE SO I CAN UNDERSTAND THE STEP BY STEP PROCESS! Thanks so much!!!
Essay. According to the U. S. Census Bureau, the total 2008 U.S. population was 303,824,640. The chart below summarizes the 2008 population for five U.S. States.
U.S. STATE 2008 POPULATION
Missouri 5,911,605
Pennsylvania 12,448,279
Tennessee 6,214,888
Utah 2,736,424
Washington 6,549,224
SOURCE: U. S. Census Bureau

What is the probability that a randomly selected U.S. resident did not live in Tennessee? Show step by step work. Round solution to the nearest thousandth.

Found 2 solutions by swincher4391, stanbon:
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
Use the complement rule here:
Let's call the probability of living in Tennessee P(T). Then P(T)= population of tenn/ population of U.S = 6,214,888/303,824,640.
We want to know the exact opposite. What's the probability that they don't live in Tennessee? Recall that P(T') = 1 - P(T).
Then P(T') = 1+-+%286214888%2F303824640%29
P(T') = expr%28303824640%2F303824640%29+-+expr%286214888%2F303824640%29
P(T') = %28303825640-6214888%29%2F%28303825640%29
P(T') = %28297610752%2F303825640%29
Use a calculator and you get .9795 after rounding to four decimal places.
P(T') = .9795
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The probability is .9795.
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Hope this helped!




Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
U.S. STATE 2008 POPULATION
Missouri 5,911,605
Pennsylvania 12,448,279
Tennessee 6,214,888
Utah 2,736,424
Washington 6,549,224
SOURCE: U. S. Census Bureau
What is the probability that a randomly selected U.S. resident did not live in Tennessee? Show step by step work. Round solution to the nearest thousandth.
--------------------
P(not live in Tenn) = 1 - P(live in Tenn)
----
= 1 - [6,214,888/303,824,640)
---
= 1 - 0.020456
--------
= 0.979544...
----
= 0.980 to the nearest thousandth
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Cheers,
Stan H.
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