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Sfowler5129
20.02.2020 •
Mathematics
It is estimated that, during the past year, 27% of all adults visited a therapist and 46% of all adults used non-prescription antidepressants. It is also estimated that 21% of all adults both visited a therapist and used a non-prescription antidepressant during the past year.
(a) What is the probability that a randomly selected adult who visited a therapist during the past year also used non-prescription antidepressants? Round your answer to 2 decimal places.
(b) What is the probability that an adult visited a therapist during the past year, given that he or she used non-prescription antidepressants? Round your answer to 2 decimal places.
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Ответ:
(a) The probability of an adult using non-prescription antidepressants given that he visited the therapist is 0.78.
(b) The probability of an adult visited the therapist given that he was using non-prescription antidepressants is 0.46.
Step-by-step explanation:
Conditional probability of an event X given that another event Y has already occurred is:
Let A = an adult visited the therapist and B = an used non-prescription antidepressants.
Given:
P (A) = 0.27
P (B) = 0.46
P (A ∩ B) = 0.21
(a)
Compute the probability that a randomly selected adult who visited a therapist during the past year also used non-prescription antidepressants as follows:
Thus, the probability of an adult using non-prescription antidepressants given that he visited the therapist is 0.78.
(b)
Compute the probability that a randomly selected adult visited a therapist during the past year, given that he or she used non-prescription antidepressants as follows:
Thus, the probability of an adult visited the therapist given that he was using non-prescription antidepressants is 0.46.
Ответ:
an invocation of a muse
a difficult journey with trials
Explanation: