A colkge retsearch group repocted that 42% of college students aged 1824 would spend their spring broaks relaxing at bome in 2009 A sample of 140 college students was salected Complete parts a through d helow a. Calculate the standard enor of the proportion p(Roundtofourdecimalplacesasnooded) b. What is the probability that koss than 40% of the colloge students from the sample spent their spring breaks relaxing at home? P(Less than 40% of the college studerits from the sample spent their spring broaks relaxing it horne) = (Round to four decimal places as noeded.) c. What is the probability that more than 50% of the college students forn the sample spent their spring breaks colaxing at home? P(More than 50% of the collego students from the sample spent their sping breaks relaxing at home) = (Round to four decimal places as needed) d. What is the probability that between 44% and 54% of the college students from the sample spent their spring breaks relaxing at horne