According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe people's habits as they sneeze. (a) What is the probability that among 16 randomly observed individuals exactly 5 do not cover their mouth when sneezing? (b) What is the probability that among 16 randomly observed individuals fewer than 3 do not cover their mouth when sneezing? (c) Would you be surprised if, after observing 16 individuals, fewer than half covered their mouth when sneezing? Why? (a) The probability that exactly 5 individuals do not cover their mouth is. (Round to four decimal places as needed.) (b) The probability that fewer than 3 individuals do not cover their mouth is (Round to four decimal places as needed.) (c) Fewer than half of 16 individuals covering their mouth V be surprising because the probability of observing fewer than half covering their mouth when sneezing isD, which V an unusual event. (Round to four decimal places as needed.) would would not Enter your answer in each of the answer boxes.

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**Probability of Not Covering Mouth When Sneezing Study**

According to a study conducted by a university student, there is a 0.267 probability that a randomly selected individual will not cover his or her mouth when sneezing. Imagine you're observing people at a mall for this behavior.

**Questions:**

(a) What is the probability that among 16 randomly observed individuals, exactly 5 do not cover their mouth when sneezing?

(b) What is the probability that among 16 randomly observed individuals, fewer than 3 do not cover their mouth when sneezing?

(c) Would it be surprising if, after observing 16 individuals, fewer than half covered their mouth when sneezing? Why?

**Answer Choices:**

(a) The probability that exactly 5 individuals do not cover their mouth is [Text box for answer].
   (Round to four decimal places as needed.)

(b) The probability that fewer than 3 individuals do not cover their mouth is [Text box for answer].
   (Round to four decimal places as needed.)

(c) Fewer than half of 16 individuals covering their mouth [Drop-down menu with options: "would" or "would not"] be surprising because the probability of observing fewer than half covering their mouth when sneezing is [Text box for answer], which [Drop-down menu with options: "is" or "is not"] an unusual event.
   (Round to four decimal places as needed.)

**Instructions:**

Enter your answers in each of the answer boxes provided.
Transcribed Image Text:**Probability of Not Covering Mouth When Sneezing Study** According to a study conducted by a university student, there is a 0.267 probability that a randomly selected individual will not cover his or her mouth when sneezing. Imagine you're observing people at a mall for this behavior. **Questions:** (a) What is the probability that among 16 randomly observed individuals, exactly 5 do not cover their mouth when sneezing? (b) What is the probability that among 16 randomly observed individuals, fewer than 3 do not cover their mouth when sneezing? (c) Would it be surprising if, after observing 16 individuals, fewer than half covered their mouth when sneezing? Why? **Answer Choices:** (a) The probability that exactly 5 individuals do not cover their mouth is [Text box for answer]. (Round to four decimal places as needed.) (b) The probability that fewer than 3 individuals do not cover their mouth is [Text box for answer]. (Round to four decimal places as needed.) (c) Fewer than half of 16 individuals covering their mouth [Drop-down menu with options: "would" or "would not"] be surprising because the probability of observing fewer than half covering their mouth when sneezing is [Text box for answer], which [Drop-down menu with options: "is" or "is not"] an unusual event. (Round to four decimal places as needed.) **Instructions:** Enter your answers in each of the answer boxes provided.
**Educational Exercise: Understanding Probability in Everyday Scenarios**

**Context:**
According to a study conducted by a university student, the probability that a randomly selected individual will not cover their mouth when sneezing is 0.267. Imagine you are sitting on a bench in a mall observing people's habits as they sneeze.

**Questions:**

(a) What is the probability that among 16 randomly observed individuals, exactly 5 will not cover their mouth when sneezing?

(b) What is the probability that among 16 randomly observed individuals, fewer than 3 will not cover their mouth when sneezing?

(c) Would you be surprised if, after observing 16 individuals, fewer than half covered their mouth when sneezing? Why?

**Answer Templates:**

(a) The probability that exactly 5 individuals do not cover their mouth is **________**.
*(Round to four decimal places as needed.)*

(b) The probability that fewer than 3 individuals do not cover their mouth is **________**.
*(Round to four decimal places as needed.)*

(c) Fewer than half of 16 individuals covering their mouth **[Dropdown: is not / is]** surprising because the probability of observing fewer than half covering their mouth when sneezing is **________**, which **[Dropdown: is not / is]** an unusual event.
*(Round to four decimal places as needed.)*

**Instructions:**
Enter your answer in each of the answer boxes provided.
Transcribed Image Text:**Educational Exercise: Understanding Probability in Everyday Scenarios** **Context:** According to a study conducted by a university student, the probability that a randomly selected individual will not cover their mouth when sneezing is 0.267. Imagine you are sitting on a bench in a mall observing people's habits as they sneeze. **Questions:** (a) What is the probability that among 16 randomly observed individuals, exactly 5 will not cover their mouth when sneezing? (b) What is the probability that among 16 randomly observed individuals, fewer than 3 will not cover their mouth when sneezing? (c) Would you be surprised if, after observing 16 individuals, fewer than half covered their mouth when sneezing? Why? **Answer Templates:** (a) The probability that exactly 5 individuals do not cover their mouth is **________**. *(Round to four decimal places as needed.)* (b) The probability that fewer than 3 individuals do not cover their mouth is **________**. *(Round to four decimal places as needed.)* (c) Fewer than half of 16 individuals covering their mouth **[Dropdown: is not / is]** surprising because the probability of observing fewer than half covering their mouth when sneezing is **________**, which **[Dropdown: is not / is]** an unusual event. *(Round to four decimal places as needed.)* **Instructions:** Enter your answer in each of the answer boxes provided.
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