SOLUTION: A WHO (World Health Organization) study reported (in 2019) that 1% of the Pakistani adults (15-
40 years) has HIV and AIDS. Random samples of 10 adults are selected to investigate
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-> SOLUTION: A WHO (World Health Organization) study reported (in 2019) that 1% of the Pakistani adults (15-
40 years) has HIV and AIDS. Random samples of 10 adults are selected to investigate
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Question 1161818: A WHO (World Health Organization) study reported (in 2019) that 1% of the Pakistani adults (15-
40 years) has HIV and AIDS. Random samples of 10 adults are selected to investigate the
probability of HIV and AIDS adults in Pakistan using binomial distribution:
a. What is the probability that one adult found who have HIV and ADIS?
b. What is the probability that at least one adult found who have HIV and ADIS?
c. What is the probability that at most one adult found who have HIV and ADIS?
d. What is the average of adults found who have HIV and ADIS in Pakistan?
e. What is the probability that two adults found who have HIV and ADIS?
(a) P = P(1) = = = 0.091352. ANSWER
(b) P = the complement to the probability that no one of 10 has HIV and AIDS =
1 - = 0.095618. ANSWER
(c) P = P(0) + P(1) = + the value of P(1) from (a) =
+ = 0.095618 + 0.091352 = 0.995734. ANSWER
(d) The average is 1%, which is clear and follows from the condition without any calculations.
(e) P = P(2) = = = 0.00452. ANSWER
