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The Economic Report of the President Gives the Following Age

Question 63

Essay

The Economic Report of the President gives the following age distribution of the United States population for the year 2000:
United States Population By Age Group, 2000  Outcome (age  category  Under 5 -15 161920242544456465 and  over  Percentage 0.060.160.060.070.300.220.13\begin{array} { | l | l | l | l | l | l | l | l | } \hline \begin{array} { l } \text { Outcome (age } \\\text { category }\end{array} & \text { Under 5 } & \text {-15 } & 16 - 19 & 20 - 24 & 25 - 44 & 45 - 64 & \begin{array} { l } 65 \text { and } \\\text { over }\end{array} \\\hline \text { Percentage } & 0.06 & 0.16 & 0.06 & 0.07 & 0.30 & 0.22 & 0.13 \\\hline\end{array} Imagine that every person was assigned a unique number between 1 and 275,372,000 (the total population in 2000). If you generated a random number, what would be the probability that you had drawn someone older than 65 or under 16? Treating the percentages as probabilities, write down the cumulative probability distribution. What is the probability of drawing someone who is 24 years or younger?

Correct Answer:

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Pr(Y < 16 or Y > 65)= 0.35; \[\begin{arr ...

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