**Transcription for Educational Website:**---According to a study done by Nick Wilson of Otago University Wellington, 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. Complete parts (a) through (c).(a) Using the binomial distribution, what is the probability that among 10 randomly observed individuals, exactly 8 do not cover their mouth when sneezing?The probability is _____.(Round to four decimal places as needed.)(b) Using the binomial distribution, what is the probability that among 10 randomly observed individuals, fewer than 4 do not cover their mouth when sneezing?The probability is _____.(Round to four decimal places as needed.)(c) Using the binomial distribution, would you be surprised if, after observing 10 individuals, fewer than half covered their mouth when sneezing? Why?[Dropdown] it [Dropdown] be surprising, because the probability is _____, which is [Dropdown] 0.05.(Round to four decimal places as needed.)--- **Description of Context and Concepts:**In this exercise, you are asked to use the binomial distribution to determine probabilities related to people’s sneezing habits based on given statistical data. The binomial distribution is a probability distribution that summarizes the likelihood that a variable will take one of two independent values under a given set of parameters or assumptions.Here's a breakdown of the questions:- **Part (a)** asks you to calculate the probability of exactly 8 individuals out of 10 not covering their mouth when sneezing.- **Part (b)** inquires about the probability of fewer than 4 individuals not covering their mouth among those observed.- **Part (c)** challenges you to evaluate the surprise factor, based on probability, if fewer than half of the individuals cover their mouth.The solution involves understanding and applying the binomial probability formula, considering parameters like the number of trials (n = 10), the probability of success (p = 0.267), or failure (covering mouth).This exercise is designed to enhance your understanding of probability models, and particularly how binomial distribution applies to real-world situations.---

According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you Dench in a mall and observe people's habits as they sneeze. Complete parts (a) through (c). (a) Using the binomial distribution, what is the probability that among 10 randomly observed individuals, exactly 8 do not cover their mouth when sneezing? The probability is (Round to four decimal places as needed.) (b) Using the binomial distribution, what is the probability that among 10 randomly observed individuals, fewer than 4 do not cover their mouth when sneezing? The probability is (Round to four decimal places as needed.) (c) Using the binomial distribution, would you be surprised if, after observing 10 individuals, fewer than half covered their mouth when sneezing? Why? be surprising, because the probability is which is C (Round to four decimal places as needed.) 0.05.

According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you Dench in a mall and observe people's habits as they sneeze. Complete parts (a) through (c). (a) Using the binomial distribution, what is the probability that among 10 randomly observed individuals, exactly 8 do not cover their mouth when sneezing? The probability is (Round to four decimal places as needed.) (b) Using the binomial distribution, what is the probability that among 10 randomly observed individuals, fewer than 4 do not cover their mouth when sneezing? The probability is (Round to four decimal places as needed.) (c) Using the binomial distribution, would you be surprised if, after observing 10 individuals, fewer than half covered their mouth when sneezing? Why? be surprising, because the probability is which is C (Round to four decimal places as needed.) 0.05.

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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