Sketch a graph of the continuous even function g(x) over the closed interval of X values [-5,5] having a range of G(x) values [-1, 0]. For x>or equal to 0, roots of g(x)=0 occur at every whole number K and roots of g’(x)=0 occur at k/2. The first and second derivative of g(x) exist everywhere except at x=k. Furthermore, g”(x)>0 for every x≠k.

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.)