1.Gallup interviewed a large number of college students from four-year institutions.Only 36% of them believed they would graduate with the skills and knowledge to be successful in the workplace.

a)A researcher speaks to 400 college students (randomly selected from four-year institutions) and asks them if they believe they will graduate with the skills and knowledge to be successful in the workplace.

What is the probability that more than 150 students respond "Yes"?

(Please think very carefully about the distribution that you are using here.Outline your parameters and then calculate the exact probability.You should provide any graphs that show your results from the StatCrunch calculators.)

b)What is the probability that less than 33% of the 400 students respond "Yes"?

results from the StatCrunch calculators.

c)If you use a smaller sample size, say 40, how will this affect the probability that less than 33% of the students respond "Yes"?Provide calculation, StatCrunch results, and describe observations.

d)On average, how many students do you expect (out of 400) to respond "Yes"?How many out of 40?