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Sagot :
To determine how many of the 1500 beanbag chairs manufactured daily would be expected to be understuffed, we can follow these steps:
1. Determine the proportion of understuffed chairs in the random sample.
- From the table, we know that out of a total of 300 chairs, 15 are understuffed.
- The proportion of understuffed chairs in the sample is calculated as:
[tex]\[ \text{Proportion of understuffed chairs} = \frac{\text{Number of understuffed chairs}}{\text{Total number of chairs in sample}} = \frac{15}{300} = 0.05 \][/tex]
2. Calculate the expected number of understuffed chairs in the daily production.
- The manufacturer produces 1500 chairs per day.
- Using the proportion of understuffed chairs found in the sample, we can determine the expected number in the daily production by multiplying the production volume by the proportion:
[tex]\[ \text{Expected number of understuffed chairs} = \text{Daily production} \times \text{Proportion of understuffed chairs} = 1500 \times 0.05 = 75 \][/tex]
So, they would expect 75 chairs to be understuffed out of the 1500 chairs manufactured daily. Therefore, the correct answer is:
- They would expect 75 chairs to be understuffed.
1. Determine the proportion of understuffed chairs in the random sample.
- From the table, we know that out of a total of 300 chairs, 15 are understuffed.
- The proportion of understuffed chairs in the sample is calculated as:
[tex]\[ \text{Proportion of understuffed chairs} = \frac{\text{Number of understuffed chairs}}{\text{Total number of chairs in sample}} = \frac{15}{300} = 0.05 \][/tex]
2. Calculate the expected number of understuffed chairs in the daily production.
- The manufacturer produces 1500 chairs per day.
- Using the proportion of understuffed chairs found in the sample, we can determine the expected number in the daily production by multiplying the production volume by the proportion:
[tex]\[ \text{Expected number of understuffed chairs} = \text{Daily production} \times \text{Proportion of understuffed chairs} = 1500 \times 0.05 = 75 \][/tex]
So, they would expect 75 chairs to be understuffed out of the 1500 chairs manufactured daily. Therefore, the correct answer is:
- They would expect 75 chairs to be understuffed.
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