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According to a study by the CDC, the probability that a randomly selected American is taking...

According to a study by the CDC, the probability that a randomly selected American is taking precautionary measures and staying inside to prevent the spread of COVID-19 is 0.75. Suppose a survey of 25 Americans is taken and respondents are asked if they are taking precautionary measures. Assume this is a binomial experiment and answer the following questions. (Round all answers to four decimal places).

(a) (2pts) What is the probability that exactly 16 Americans of those surveyed are taking precautionary measures?

(b) (2pts) What is the probability that no more than 12 Americans of those surveyed are taking precautionary measures?

(c) (2pts) Calculate the probability that at least 20 Americans of those surveyed are taking precautionary measures.

(d) (2pts) Calculate the expected number of Americans that are taking precautionary measures.

(e) (2pts) Calculate the standard deviation of Americans that are taking precautionary measures.

Math   Statistics-And-Probability   
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