Suppose the following table gives the age distribution of the U.S. population. L

Question

Suppose the following table gives the age distribution of the U.S. population.

Let x denote a random variable that takes on the values 1, 2, 3, 4, 5, and 6 corresponding to the age groups given in the table.

(a) Find the probability distribution associated with these data. (Round your answers to three decimal places.)

x

P(X = x)

(b) What percentage of the U.S. population is between 5 and 24 years old, inclusive? (Round your answer to three decimal places.)
%

Group      1      2     3     4     5     6     Age
(in years)     Under 5     5–19     20–24     25–44     45–64     65 and over     Number (in
thousands)     21,265     61,376     21,225     81,626     80,838     39,778    

Explanation / Answer

The total population is: 21,265+...+39778=306108

THe percentage of the U.S. population is between 5 and 24 years old, inclusive is:

(61376/306108+21225/306108)*100%

=26.98%

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