17.-/1 pointsBBUnderStat1242.034 At Litchfield College of Nursing, 87% of incoming freshmen nursing students are female and…

17.-/1 pointsBBUnderStat1242.034 At Litchfield College of Nursing, 87% of incoming freshmen nursing students are female and 13 % are male. Recent records indicate that 70% of the entering female students will graduate with a BSN degree, while 80 % of the male students will obtain a BSN degree. If an incoming freshman nursing student is selected at random, find the following probabilities, (Enter your answers to three decimal places.) (a) P(student will graduate I student is female) (b) P(student will graduate and student is female) (c) P(student will graduate I student is male) (d) P(student will graduate and student is male) (e) P(student will graduate). Note that those who will graduate are either males who will graduate or females who will graduate. 4.2 Hmwk- Some Probability Rules Page 8 of 20 7.-/1 pointsB8UnderStat12 42.015 MaM plain candies come in various colors. According to the M&M/Mars Department of Consumer Affairs, the distribution of colors for plain MSM candies is as follows. Color Purple Red Orange Green Yellow Blue Brown Percentage 23% 21% 21% 9% 10% 7% 9% Suppose you have a large bag of plain M&M candies and you choose one candy at random. (a) Find P(green candy or blue candy). Are these outcomes mutually exclusive? Why? No. Choosing a green and blue M&M is not possible. O Yes. Choosing a green and blue M&M is not possible. O No. Choosing a green and blue M&M is possible. O Yes. Choosing a green and blue M&M is possible. (b) Find Ptyellow candy or red candy). Are these outcomes mutually exclusive? Why? O No. Choosing a yellow and red M&M is possible. O Yes. Choosing a yellow and red M&M is not possible. O No. Choosing a yellow and red MSM is not possible. O Yes. Choosing a yellow and red M&M is possible. (c) Find P(not purple candy). OOOO