The level of support for corporate sustainability (measured on a quantitative scale ranging from 0 to 160 points) was obtained for 987 senior managers at CPA firms. The accompanying table gives the mean and standard deviation for the level of support variable. It can be shown that level of support is approximately normally distributed. Complete parts a. through d. N 987 Mean 67.251 StDev 26.321 Variance 692.795 a. Find the probability that the level of support for corporate sustainability of a randomly selected senior manager is less than 41 points. The probability that a randomly selected manager gets less than 41 points is (Round to three decimal places as needed.) b. Find the probability that the level of support for corporate sustainability of a randomly selected senior manager is between 41 and 118 points. The probability that a randomly selected manager gets between 41 and 118 points is (Round to three decimal places as needed.) c. Find the probability that the level of support for corporate sustainability of a randomly selected senior manager is greater than 118 points. The probability that a randomly selected manager gets more than 118 points is (Round to three decimal places as needed.) Minimum 0.000 Maximum 152.000 Range 152.000 d. One-fifth of the 987 senior managers indicated a level of support for corporate sustainability below what value? One-fifth of the 987 senior managers indicated a level of support below (Round to two decimal places as needed.) The sample space for an experiment contains five sample points with probabilities as shown in the table to the right. Find the probability of each of the following events. A: {Either 1, 3, or 5 occurs} B: {Either 1, 2, or 4 occurs} C: {4 does not occur} P(A)= (Type an exact answer in simplified form.) P(B) = (Type an exact answer in simplified form.) P(C)= (Type an exact answer in simplified form.) Sample Points Probabilities 1 0.06 2 0.19 3 0.28 4 0.28 5 0.19 Find the area under the standard normal probability distribution between the following pairs of z-scores. a. z 0 and z=2.00 b. z=0 and z = 3.00 c. z 0 and z=1.00 d. z=0 and z = 0.39 Click here to view a table of areas under the standardized normal curve. a. The area under the standard normal probability distribution is 1 (Round to three decimal places as needed.) b. The area under the standard normal probability distribution is 1. (Round to three decimal places as needed.) c. The area under the standard normal probability distribution is 1. (Round to three decimal places as needed.) d. The area under the standard normal probability distribution is 1 (Round to three decimal places as needed.)