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Please explain in detail. Thank you. The Public Health Department takes a census

ID: 3225376 • Letter: P

Question

Please explain in detail. Thank you.

The Public Health Department takes a census of all the people in a small community. Officials correlate the number of visits a person makes to the doctor's office with the sanitary conditions of the person's home. The data in the table below are collected. If you choose a person at random from the community, what is the probability that (a) that person visited the doctor two times or fewer? (b) that the person made two visits or fewer and came from a home having bad sanitary conditions? (c) that the person made two visits or fewer and came from a home having good sanitary conditions?

Explanation / Answer

(a) Here we will choose a random person from the community so there are 2000 person in the community, so we will choose one among them and among them, there are 800 persons who have visited 2 or fewer times to the doctor.

so, P( theperson visied less than 2 tmes to doctor) = 800/2000 = 0.4

(b) Here also there are 2000 persons among which we will choose one person. Now, we have to see number of persons who have bad sanitary conditions and also who visited doctor 2 or fewer times. Number of such people are 100 and we can find it from table.

P ( Bad sanitary COnditions and 2 or fewer time doctor vist) = 100/2000 = 0.05

(c) Here also there are 2000 persons among which we will choose one person. Now, we have to see number of persons who have good sanitary conditions at home and also who visited doctor, 2 or fewer times. Number of such people are 700 and we can find it from table.

P ( Good sanitary conditions and 2 or fewer time doctor visit) = 700/2000 = 0.35