Brazilian demographics reports 75% of consumers enjoy ice cream with nuts. A random sample of 200 consumers is selected and the number of people who enjoy ice cream with nuts is recorded.

What is the approximate sampling distribution for the sample proportion. Please calculate and choose one of the following options

A) mean 0.75 and sd 0.0009

B) mean 0.75 and sd 0.03

C) mean 150 and sd 6.12

D) none of the above

i think for this question its option A but im not 100 percent sure how the standard deviation can be calculated.

Second question (sorry guys) but its related to this one

What is the probability that the sample proportion is greater than 80%.

A) 0.00

B) 0.05

C) 0.95

D) none of the above

Last question (this one should be easy)

Would it be unusual to have a sample proportion of 80% consumers liking icecream with nuts? Explain (yes or no and why?)

Please Please Please answer questions with detailed solution because I would like to know how you found the answer