A researcher conducted a research and got the observations: 50, 60, 65, 75, 80, 85 and 90. Transform variable x into y. Establish the relation between x and y. (a) by multiplying it with a constant 6 and adding another constant 2 to it. (b) by dividing it with 5 and subtracting 3 to it.

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.)