Probability: The following shows the distribution of a group of elementaryschool
ID: 2913545 • Letter: P
Question
Probability:
The following shows the distribution of a group of elementaryschool children according to their academic performance and thequality of their nutritional status.
NUTRITIONAL STATUS
_________________________________________________
Academics Poor(P) Good(G) Excellent(E)
Low(L) 145 70 65
Medium(M) 60 175 155
High(H) 25 55 250
Using the information presented in the Nutritional Status table,determine what the probability is that a child picked at randomfrom this group:
1) Had a low rating on academic performance.
2) Was rated excellent in terms of their nutritional status.
3) Had a low academic performance and an excellent nutritionalstatus.
4) Had low academic performance given that he or she hadexcellent nutritional status.
5) Had high academic performance or excellent nutritionalstatus.
Explanation / Answer
total number of students = 1000 1) Had a low rating on academic performance.145 + 70 + 65 = 280 out of1000 280/1000 = .28 or 28 % 2) Was rated excellent in terms of their nutritionalstatus.
65+155+250=470 out of 1000= .47 or 47% 3) Had a low academic performance and an excellent nutritionalstatus.
65 =65 /100 = .065 or 6.5 % 4) Had low academic performance given that he or she hadexcellent nutritional status. 65 out of 470 = .1383 or 13.83 %
5) Had high academic performance or excellent nutritionalstatus 25 + 55 + 250 + 65 + 155 = 550 out of 100 = .55or 55%
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