If we draw one individual at random, what is the probability that the respondent
ID: 3301326 • Letter: I
Question
If we draw one individual at random, what is the probability that the respondent has "poor" health and does have health coverage? Do not give your answer as a percentage chance, but rather as a decimal probability (i.e., 0.xxx). Answer: ___________ Using the same table as above: If we draw one individual at random, what is the probability that the respondent has "fair" health? Do not give your answer as a percentage chance, but rather as a decimal probability (i.e., 0.xxx). Answer: __________ Using the table above (one last time!): If we draw one individual at random, what is the probability that the respondent has "very good" health given that they do not have health coverage? Do not give your answer as a percentage chance, but rather as a decimal probability (i.e., 0.xxx). Answer: __________Explanation / Answer
Solution:-
a) The probability that respondant has poor health and does have health coverage is 0.0289.
Number of respondant having poor health and having health coverage = 578
Total number of people = 20,000
The probability that respondant has poor health and does have health coverage = 578/20000 = 0.0289
b) The probability that respondant has fair health is 0.10095
Number of respondant having fair health = 385 + 1634 = 2019
Total number of people = 20,000
The probability that respondant has fair health = 2019/20000 = 0.10095
c) The probability that respondant has very good health given that they do not have health coverage is 0.288.
Number of respondant not having health coverage = 2524
Number of respondant has very good health = 727
The probability that respondant has very good health given that they do not have health coverage = 727/2524 = 0.288
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