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Due to COVID19 and the desire to practice social distancing, a large university did a survey...

Due to COVID19 and the desire to practice social distancing, a large university did a survey randomly selecting 40 members of staff to determine their preference to work from home. In one question, the staff were asked if they would like to work from home or to work from their offices on campus. 55 percent of the staff indicated that they would prefer to work from home with the other 45 percent indicating a preference to work from their office.

a. Discuss if this question would follow a binomial distribution.

b. Calculate the number of persons in the sample who are expected to have a preference of working from home as well as the variance.

c. Calculate the probability that no more than 38 members of staff have a preference of working from home.

Math   Statistics-And-Probability   
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hii... although I am trying to provide the detailed answer but if you have any doubt please ask by comment. please like the answer. thanks...

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