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 5-15 16-19 20-24 25-44 45-64 65 and over
Percentage 0.06 0.16 0.06 0.07 0.30 0.22 0.13
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?
What will be an ideal response?
Answer:
Under 5=0.06; under 16=0.22; under 20=0.28; under 25=0.35; under 45=0.65; under 65=0.87; all ages=1.
0.06+0.16+0.06+0.07=0.3
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