On Campus Research recently reported that 46% of college students aged 18– 24 would spend their spring breaks relaxing at home. A sample of 155 college students was selected.

a. Calculate the standard error of the proportion.

b. What is the probability that less than 40% of the college students from the sample spent their spring breaks relaxing at home?

c. What is the probability that more than 50% of the college students from the sample spent their spring breaks relaxing at home?

d. What is the probability that between 48% and 58% of the college students from the sample spent their spring breaks relaxing at home?