A college research group reported that 46% of college students aged 18-24 would spend their spring broaks relaxing at home in 2009. A sample of 150 college students was selected Completo parts a through d below. a. Calculate the standard error of the proportion --- (Round to four decimal places as needed.) b. What is the probability that less than 40% of the college students from the sample spent their spring breaks relaxing at home? P(less than 40% of the college students from the sample spent their spring breaks relaxing at home) =D (Round to four decimal places as needed.) c. What is the probability that more than 50% of the college students from the sample spent their spring breaks relaxing at home? P More than 50% of the college students from the sample spent their spring breaks relaxing at home) - (Round to four decimal places as needed.) d. What is the probability that between 48% and 58% of the college students from the sample spent their spring breaks relaxing at home? P(Between 48% and 58% of the college students from the sample spent their spring breaks relaxing at home) = (Round to four decimal places as needed.)