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(Please show all steps. Write neat, clear and organized for partial points). 1. A shoe manufacturer must decide whether to merge with a larger company to make more investments. If they merge and it is a good sales year, there will be a $810,000 profit; if they merge and it is a poor sales year, there will be a deficit of $ 230,000. If they do not merge and it is a good sales year there will be a $425,000 profit; if they do not merge and it is a poor sales year there will be a $87,000 profit. If the probability of a good sales year is 0.26 and the probability of a poor sales year is 0.74, would merging with the larger company maximize the expected profit? from randomly and 416 bewith care i saids novia Salus booneled a lo agini 602 ni log yam ow init2. A survey at a coffee shop in small southern town yielded the data below: Married Single Divorced Native 28 19 3 Foreign 14 7 a) If we randomly select one person, what is the probability that a native and single is selected? Write your answer as a percentage. Wnomicsvat som shut mom word li among 100,0182 b) If we randomly select one students, what is the probability of selecting a foreign or not married? Write your answer as a percentage. adoig sift ll morq at suit infive guignom blow , be 0 a nov 25148 c) If we randomly select one person, what is the probability of selecting a native, given that it was divorced? Write your answer as a percentage. 3. What does Chebyshev's theorem with k=11 tells us about the number of heads that we may get in 900 flips of a balanced coin