Nutritional Status Academics Poor Good Excellent Low 145 70 65 Medium 60 175 155
ID: 2955682 • Letter: N
Question
Nutritional StatusAcademics Poor Good Excellent Low 145 70 65 Medium 60 175 155 High 25 55 250
Using the information presented in the Nutritional Status table, determine what the probability is that a child picked at random from 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 nutrition status.
4) Had low academic performance given that he or she had excellent nutritional status.
5) Had high academic performance or excellent nutritional status. Nutritional Status
Academics Poor Good Excellent Low 145 70 65 Medium 60 175 155 High 25 55 250
Using the information presented in the Nutritional Status table, determine what the probability is that a child picked at random from 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 nutrition status.
4) Had low academic performance given that he or she had excellent nutritional status.
5) Had high academic performance or excellent nutritional status. Academics Poor Good Excellent Low 145 70 65 Medium 60 175 155 High 25 55 250
Explanation / Answer
1) Had a low rating on academic performance. Get the number of lows: 145 + 70 + 65 = 280 Get the total: 145 + 70 + 65 + 60 + 175 + 155 + 25 + 55 + 250 = 1000 Divide: 280/1000 = 0.28 2) Was rated excellent in terms of their nutritional status. Get the number of excellents: 65 + 155 + 250 = 470 Divide by the total: 470/1000 = 0.47 3) Had a low academic performance and an excellent nutritional status. The value at L, E is: 65 Divide by the total: 65/1000 = 0.065 4) Had low academic performance given that he or she had excellent nutritional status. The value at L, E is: 65 The total number of excellents is (from part 2): 470 Divide: 65/470 = about 0.1383 5) Had high academic performance or excellent nutritional status. Add the highs: 25 + 55 + 250 = 330 Add the excellents (already done...) = 470 Add those, and subtract the overlap (so we don't count it twice): 330 + 470 - 250 = 550 Divide by the total: 550/1000 = 0.55
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