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. ​(c) Would you be surprised​ if, after observing 18 ​individuals, fewer than half covered their mouth when​ sneezing? Why?

At a certain large company, the floor manager reviewing inventory and production. She ultimately comes to the decision that a product should be continued if it sold 150,000 times over the previous year. In addition, the product is considered “popular” if it receives at least 100 mentions by the local press over the past year. An analyst is hired to help with the analysis.  The analyst determines that the probability of sales exceeding 150,000 was 0.331, the probability of 100 or more mentions was 0.162, and the probability that a product both sold 150,000 items, and was also ‘popular’ is 0.064. What is the probability that a randomly selected product either sold the requisite 150,000 items, or that it is ‘popular’? Again, phrase your answers in terms of probability variables (e.g. P(X) = ...,  P(Y)=... etc.) If we are told that an item has indeed reached the threshold of 100 mentions in the press, what is the probability of it selling 150,000 times?  Thought Question: Where would the…

In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use by the household. (No two respondents were from the same household.) Among the respondents, 203 answered "none," 294 said "one," 364 said "two," 143 said "three," and 139 responded with four or more. A survey respondent is selected at random. Find the probability that his/her household has four or more cell phones in use. Is it unlikely for a household to have four or more cell phones in use? Consider an event to be unlikely if its probability is less than or equal to 0.05. P(four or more cell phones) = %3D (Round to three decimal places as needed.) Is it unlikely for a household to have four or more cell phones in use? A. Yes, because the probability of a respondent with four or more cell phones in use is less than or equal to 0.05. B. Yes, because the probability of a respondent with four or more cell phones in use is greater than 0.05. C. No, because the probability of a respondent…

The proportion of eligible voters in the next election who will vote for the incumbent is assumed to be 53.9%. What is the probability that in a random sample of 430 voters, less than 49.2% say they will vote for the incumbent?