**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.

Given information Probability that the selected individual will not cover his or her mouth when sneezing p = 0.267 X denotes the no of individuals X ~ Bin(n = 16, p = 0.267) Using Binomial theorem Probability of x success out of n trial is given by

Math

Statistics

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.

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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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