1. A company manufactures electric circuits, which are packaged in boxes of 10 circuits each. A quality inspector sampled 450 boxes and recorded the number of defective circuits found in each box. Here are the frequencies: Number of defective circuits | 1 2 3 4 7 8 9. 10 Frequency of occurrence | 84 105 70 48 36 29 24 19 16 13 Let X= The number of defective circuits in a box. Answer the following probability questions based on the frequency data above. Phrase each event in terms of the random variable X. (a) What is the probability that the next inspected box will have 3 defective circuits? (b) What is the probability that the next inspected box will have no defective circuits at all? (c) What is the probability that the next inspected box will have at most 2 defective circuits? (d) What is the probability that the next inspected box willI have more than 5 defective circuits? Ol o

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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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1. A company manufactures electric circuits, which are packaged in boxes of 10 circuits each.
A quality inspector sampled 450 boxes and recorded the number of defective circuits found in each box.
Here are the frequencies:
Number of defective circuits
1
2
3
4
6.
7
8
9.
10
Frequency of occurrence
| 84 105
70
48
36
29
24
19
16
13
Let X = The number of defective circuits in a box.
Answer the following probability questions based on the frequency data above. Phrase each event in
terms of the random variable X.
(a) What is the probability that the next inspected box will have 3 defective circuits?
(b) What is the probability that the next inspected box will have no defective circuits at all?
(c) What is the probability that the next inspected box will have at most 2 defective circuits?
(d) What is the probability that the next inspected box will have more than 5 defective circuits?
Transcribed Image Text:1. A company manufactures electric circuits, which are packaged in boxes of 10 circuits each. A quality inspector sampled 450 boxes and recorded the number of defective circuits found in each box. Here are the frequencies: Number of defective circuits 1 2 3 4 6. 7 8 9. 10 Frequency of occurrence | 84 105 70 48 36 29 24 19 16 13 Let X = The number of defective circuits in a box. Answer the following probability questions based on the frequency data above. Phrase each event in terms of the random variable X. (a) What is the probability that the next inspected box will have 3 defective circuits? (b) What is the probability that the next inspected box will have no defective circuits at all? (c) What is the probability that the next inspected box will have at most 2 defective circuits? (d) What is the probability that the next inspected box will have more than 5 defective circuits?
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