each of the following values or range Suppose that a sample of peanut butter contains 0.6 insect fragments per gram. Compute the probability that the number of insect fragments in a 8-gram sample of peanut butter of values. Interpret each result. (a) Exactly three (c) At least three (e) Would it be unusual for a 8-gram sample of this supply of peanut butter to contain five or more insect fragments? (b) Fewer than three (d) At least one (a) The probability that there are exactly three insect fragments in a 8-gram sample of peanut butter is (Round to four decimal places as needed.) There will be insect fragment(s) in about of every 100 8-gram samples of peanut butter. (Round to the nearest whole number as needed.) (b) The probability that there are fewer than three insect fragments in a 8-gram sample of peanut butter is (Round to four decimal places as needed.) There will be insect fragment(s) in about of every 100 8-gram samples of peanut butter. (Round to the nearest whole number as needed.) (c) The probability that there are at least three insect fragments in a 8-gram sample of peanut butter is (Round to four decimal places as needed.) There will be insect fragment(s) in about of every 100 8-gram samples of peanut butter. (Round to the nearest whole number as needed.) (d) The probability that there is at least one insect fragment in a 8-gram sample peanut butter is. (Round to four decimal places as needed.) There will be insect fragment(s) in about of every 100 8-gram samples of peanut butter. (Round to the nearest whole number as needed.) Enter your answer in each of the answer boxes.

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a-d there will be (fewer than, at least, exactly, at most, more than) 

e- so it (would, would not)

**Peanut Butter Insect Fragment Probability Analysis**

Consider a sample of peanut butter that contains 0.6 insect fragments per gram. We aim to compute the probability of the number of insect fragments in an 8-gram sample of peanut butter for each specified condition.

**Interpret Each Result:**
- (a) Exactly three fragments
- (b) Fewer than three fragments
- (c) At least three fragments
- (d) At least one fragment
- (e) Unusual occurrence of five or more fragments in an 8-gram sample

**Calculations:**

**(a) Probability of Exactly Three Insect Fragments:**
The probability that there are exactly three insect fragments in an 8-gram sample of peanut butter is ____. 

Use this information to determine how often this occurs:
- There will be ____ insect fragment(s) in about ____ of every 100 8-gram samples of peanut butter.
- Round answers to the nearest whole number if needed.

**(b) Probability of Fewer Than Three Insect Fragments:**
The probability for fewer than three fragments in the sample is ____.

Calculate the frequency:
- There will be ____ insect fragment(s) in about ____ of every 100 8-gram samples of peanut butter.
- Round as required.

**(c) Probability of At Least Three Insect Fragments:**
For at least three fragments, the probability is ____.

Compute the occurrence:
- There will be ____ insect fragment(s) in about ____ of every 100 8-gram samples of peanut butter.
- Adjust as needed.

**(d) Probability of At Least One Insect Fragment:**
Probability for at least one fragment is ____.

Assess the count in samples:
- There will be ____ insect fragment(s) in about ____ of every 100 8-gram samples of peanut butter.
- Round to the nearest whole where necessary.

**(e) Unusual Occurrence of Five or More Fragments:**
Would an 8-gram sample containing five or more fragments be considered unusual according to calculated probabilities?

**Note:** Fill in values for complete accuracy per probability context.
Transcribed Image Text:**Peanut Butter Insect Fragment Probability Analysis** Consider a sample of peanut butter that contains 0.6 insect fragments per gram. We aim to compute the probability of the number of insect fragments in an 8-gram sample of peanut butter for each specified condition. **Interpret Each Result:** - (a) Exactly three fragments - (b) Fewer than three fragments - (c) At least three fragments - (d) At least one fragment - (e) Unusual occurrence of five or more fragments in an 8-gram sample **Calculations:** **(a) Probability of Exactly Three Insect Fragments:** The probability that there are exactly three insect fragments in an 8-gram sample of peanut butter is ____. Use this information to determine how often this occurs: - There will be ____ insect fragment(s) in about ____ of every 100 8-gram samples of peanut butter. - Round answers to the nearest whole number if needed. **(b) Probability of Fewer Than Three Insect Fragments:** The probability for fewer than three fragments in the sample is ____. Calculate the frequency: - There will be ____ insect fragment(s) in about ____ of every 100 8-gram samples of peanut butter. - Round as required. **(c) Probability of At Least Three Insect Fragments:** For at least three fragments, the probability is ____. Compute the occurrence: - There will be ____ insect fragment(s) in about ____ of every 100 8-gram samples of peanut butter. - Adjust as needed. **(d) Probability of At Least One Insect Fragment:** Probability for at least one fragment is ____. Assess the count in samples: - There will be ____ insect fragment(s) in about ____ of every 100 8-gram samples of peanut butter. - Round to the nearest whole where necessary. **(e) Unusual Occurrence of Five or More Fragments:** Would an 8-gram sample containing five or more fragments be considered unusual according to calculated probabilities? **Note:** Fill in values for complete accuracy per probability context.
(d) The probability that there is at least one insect fragment in an 8-gram sample of peanut butter is [ ]. (Round to four decimal places as needed.)

There will be [dropdown: 'less than'/'about'/'more than'] [ ] insect fragment(s) in about [ ] of every 100 8-gram samples of peanut butter. (Round to the nearest whole number as needed.)

(e) The probability that an 8-gram sample of this supply of peanut butter contains five or more insect fragments is [ ], so it [dropdown: 'would'/'would not'] be unusual. (Round to four decimal places as needed.)

Enter your answer in each of the answer boxes.

---

Note: The text appears to be part of a statistical problem regarding insect fragments in peanut butter. There are no graphs or diagrams present in the image.
Transcribed Image Text:(d) The probability that there is at least one insect fragment in an 8-gram sample of peanut butter is [ ]. (Round to four decimal places as needed.) There will be [dropdown: 'less than'/'about'/'more than'] [ ] insect fragment(s) in about [ ] of every 100 8-gram samples of peanut butter. (Round to the nearest whole number as needed.) (e) The probability that an 8-gram sample of this supply of peanut butter contains five or more insect fragments is [ ], so it [dropdown: 'would'/'would not'] be unusual. (Round to four decimal places as needed.) Enter your answer in each of the answer boxes. --- Note: The text appears to be part of a statistical problem regarding insect fragments in peanut butter. There are no graphs or diagrams present in the image.
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