Alex is practicing his dives at a pool. He dives from a dividing board that is 21 feet above the surface of the water. His dive takes him 17 feet below the surface of the water. Alex says that the two distances are opposite, so his total dive distance is 22 + (-17) = 5 feet. Is Alex correct? How far did he travel if he is wrong?

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.)