The first day of the race will start with a bike race to
Checkpoint 1. The straight-line distance from the starting
point to this checkpoint is 34 miles. The angle formed by
the straight-line paths from start to Checkpoint 1 and
from start to Checkpoint 4 is 32.2.
Determine the straight-line distance from Checkpoint 4
to Start so that the area of the triangular region complies
with the local regulation of 200-250 square miles.

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.)