need help answering the following questions

On March 29th, the Minnesota Department of Health reported that 38% of Minnesotans (ages 16 and over) had received at least one dose of the COVID-19 vaccine. Using this proportion, answer the question below. 1. Suppose that I randomly select 5 Minnesotans (ages 16 and over). Using the binomial formula, find the probability exactly 3 of the 5 people selected have received the COVID-19 vaccine. Fill in the variables you will use and then calculate the probability. It is ok to check yourself using stat crunch, but please show your work with with the formula. Round to three decimal places. p = q = n = X = Probability that exactly 3 of the 5 people have received the vaccine: 2. Calculate the probability that at least 3 Minnesotans in the sample of 5 have received the COVID-19 vaccine (this is a different question than number 1...do you see why? 3. Using your answer from number 2, is it likely or unlikely that at least 3 Minnesotans (in a group of 5) have received the COVID-19 vaccine?4. When using a binomial distribution, the mean (expected value) of the probability distribution is u = np and the standard deviation is o = n . p . q . Using these two formulas, find the expected value (mean) and standard deviation for the number of Minnesotans in a group of 5 that we expect to have received the COVID-19 vaccine. 5. Using the range rule and your mean and standard deviation from above, would 3 people be an unusually high number of Minnesotans to have received the COVID- 19 vaccine in a group of 5 randomly selected Minnesotans? Explain using the range rule