The approximate probability is 0.40 .
What is random selection?
Random selection refers to how the sample is drawn from the population as a whole, while random assignment refers to how the participants are then assigned to either the experimental or control groups.
What is probability?
Probability measures the chance of an event happening and is equal to the number of favorable events divided by the total number of events. The value of probability ranges between 0 and 1, where 0 denotes uncertainty and 1 denotes certainty.
Probability of an event P(E) = (Number of favorable outcomes) ÷ (Total outcomes ).
According to the question
The table below shows the number of U.S. residents with health insurance in 2015, in thousands, categorized by age group and annual income.
Now,
if a U.S. resident with health insurance who was 35-64 in 2015 is selected at random,
The probability that this resident had an income between $50,000 and $74,999
As
By using formula of probability
Probability of an event P(E) = (Number of favorable outcomes) ÷ (Total outcomes ).
where
Total outcomes = Total resident had an income between $50,000 and $74,999 = 56,908
Number of favorable outcomes = U.S. resident with health insurance who was 35-64 in 2015 and income between $50,000 and $74,999
= 7,185 + 14,978
= 22,163
Now,
Putting value in formula
Probability of an event P(E) = (Number of favorable outcomes) ÷ (Total outcomes ).
Probability of an event P(E) = [tex]\frac{22163}{56908}[/tex]
= 0.389
= 0.40 (approx.)
Hence, the approximate probability is 0.40 .
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