Kentucky Kingdom is a popular field trip destination. This year the senior class at Charlestown High School and the senior class at Jeffersonville High School both planned trips there. The senior class at Charlestown High School filled 9 vans and 3 buses with 249 students. Jeffersonville High School filled 7 vans and 8 buses with 460 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?

Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 4. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability that a randomly selected person does not have a birthday on the 1st day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (d) compute the probability that a randomly selected person was not born in january. (type an integer or a decimal rounded to three decimal places as needed.)