8 June, 06:30

# Select the correct answer.Weight/Calories per Day: 1000 to 1500 cal./1500 to 2000 cal./2000 to 2500 cal./Total120 lb. 90 80 10 180145 lb. 35 143 25 203165 lb. 15 27 75 117Total 140 250 110 500Based on the data in the two-way table, what is the probability that a person consumes 1,500 to 2,000 calories in a day?A. 0.22B. 0.28C. 0.35D. 0.50

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1. 8 June, 07:35
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Option D. 0.50

Explanation:

1. Two-way table:

Calories per Day:

1000 to 1500 1500 to 2000 2000 to 2500 Total

Weight

120 lb. 90 80 10 180

145 lb. 35 143 25 203

165 lb. 15 27 75 117

Total 140 250 110 500

2. Total number of persons

Look at the intersection of the totals for the columns and the rows: 500

3. Number of persons that consume 1,500 to 2,000 calories in a day

Look at the total for the column 1,500 to 2,000 calories per day: 250

4. Probability that a person consumes 1,500 to 2,000 calories in a day, P

P = number of persons that consume 1,500 to 2,000 calories / total number of persons

P = 250 / 500 = 0.50 ↔ option D.