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

Algebra.Com
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?

Answer by ikleyn(52848)   (Show Source): You can put this solution on YOUR website!
.

(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

-----------------

For probability problems on Binomial distribution,  see the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
    - How to calculate Binomial probabilities with Technology (using MS Excel)
    - Solving problems on Binomial distribution with Technology (using MS Excel)
    - Solving problems on Binomial distribution with Technology (using online solver)
    - Challenging problems on Binomial distribution probability
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Solved problems on Probability"
and  "Additional problems on Probability".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.


/\/\/\/\/\/\/\/

The correct writing for this disease is AIDS, in English.

It is not "ADIS", as you often write in your post.

Make correction everywhere.



RELATED QUESTIONS

A WHO (World Health Organization) study reported (in 2019) that 1% of the Pakistani... (answered by ikleyn)
Word problem-The number of case of HIV/AIDS worldwide is modeled by the equation y=2x+33, (answered by stanbon,tutorcecilia)
In a study, 40% of adults questioned reported that their health was excellent. A... (answered by rothauserc)
2. Based on data from the National Center for Health Statistics, an estimated percentage... (answered by stanbon)
In a study, 31% of adults questioned. Among 13 randomly selected, only 1 reported that... (answered by Boreal,ikleyn)
the number of aids cases reported has grown exponentially. in 1984 there were 160 aids... (answered by josgarithmetic)
A rapid test for the presence in the blood of antibodies to HIV, the virus that causes... (answered by ewatrrr)
Problem 4 (15%) A study considered risk factors of HIV infection among intravenous drug (answered by Boreal)
The World Bank records the prevalence of HIV in countries around the world. According to... (answered by CPhill)