Fast please!! Exam in 4 hours. Please properly explain it with stating formula. Thank you so much

1. A report suggests that 15% of Americans say they visited a doctor in any given month. Suppose a sample of 14 Americans is selected.

a. Find the probability that exactly 2 of those sampled visited the doctor last month.

b. Find the probability that exactly 1 of those sampled visited the doctor last month.

c. Find the probability that fewer than 3 of those sampled visited the doctor last month.

d. Find the probability that more than 3 of those sampled visited the doctor last month.

e. Find the expected number of Americans who will have visited the doctor out of 14 for a given month. 2. A report suggests that 60% of sixteen year-olds in the area have part time jobs. A sample of 15 sixteen year olds is collected. Each teen is asked if they have a part time job.

a. What is the expected number of teens among all samples of 15 which will have part time jobs?

b. What is the probability that all 15 sixteen year-olds in the sample will have a part time job?

c. What is the probability that 12 or fewer will have a part time job?

d. What is the probability that more than 5 will have a part time job?

3. A spokesperson claims that 20% of costumes for preschool children are Disney characters. A sample of sales of 20 costumes for preschool children from area merchants is collected. a. What is the expected number of Disney character costumes? b. What is the probability that more than 5 of the costumes are Disney characters? c. What is the probability that 10 or less of the costumes are Disney characters?