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) What is the probability that among 18 randomly observed individuals, exactly 4 do not cover their mouth when sneezing? Using the binomial distribution, the probability is Round to four decimal places as needed.)

According to a survey, 30% of college students said that they spend too much time on Facebook. Suppose this result holds true for the current population of all college students. A random sample of six college students is selected. a. Define the random variable X b. X takes on what values?X = ..................................................... c. Determine the number of trials n and the probability of success for this binomial distribution. d.Find the probability that exactly three of these six college students will say that they will spend too much time on Facebook. Round your answer to three decimal places.

Dr. Verde conducted an experiment in which she randomly assigned each subject a colored pencil and then asked them to choose their favorite color. Her results showed that neither the distribution of the assigned pencil colors or the subjects' preferred colors conformed to their expected theoretical probability values. If she repeats the experiment with a much larger sample, how would you expect her results to change and why? Answer in complete sentences. UPLOAD

Based on a​ poll, 70​% of Internet users are more careful about personal information when using a public​ Wi-Fi hotspot. What is the probability that among threethree randomly selected Internet​ users, at least one is more careful about personal information when using a public​ Wi-Fi hotspot? How is the result affected by the additional information that the survey subjects volunteered to​ respond? The probability that at least one of them is careful about personal information is? ​(Round to three decimal places as​ needed.) How is the result affected by the additional information that the survey subjects volunteered to​ respond?     A. It is very possible that the result is not valid because not everyone uses public​ Wi-Fi.   B. The result should not be impacted by this because volunteers are likely to have the most relevant responses.   C. The result should not be impacted by this because there is no reason to lie when responding.   D. It is very possible that…