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Thursday, February 4, 2016

In a large accounting firm, the proportion of accountants

 February 04, 2016     No comments   

In a large accounting firm, the proportion of accountants with MBA degrees and at least 5 years of professional experience is 0.75 times the proportion of accountants with no MBA degree and less than 5 years of professional experience. Furthermore, 35% of the accountants in this firm have MBA degrees, and 45% have less than 5 years of professional experience. (a) What is the probability of a randomly selected accountant to have at least 5 years of professional experience? (b) What proportion of accountants with MBA degrees have at least 5 years of professional experience? (c) What is the probability of a randomly selected accountant to have at least 5 years of professional experience and no MBA degree? (d) If one of the firmâ??s accountants is selected at random, what is the probability that this accountant has an MBA degree or at least 5 years of professional experience but not both? #2 A local beer company sells two types of beer, a regular brand and a light brand with 30% fewer calories. The companyâ??s marketing department follows its traditional strategy of targeting women beer drinkers with light beer and men beer drinkers with regular beer. To test the rationale for this strategy an intern at the company randomly selected a group of 510 people and questioned them about their beer-drinking preferences. The data shown in file:///C:\Users\mabel\Downloads\beer(men&women).xlsxbeer(men&women).xlsx are obtained. [You might find it useful to construct a contingency table for this problem. The pivot table wizard in excel is a handy tool to create the contingency table] If a woman is chosen at random from this group, what is the probability that she prefers light beer (to regular beer or no beer at all)? W=203 P (W_L) =50.25% P (W_R) =40.89% P (W_N) =8.87% If a man is chosen at random from this group, what is the probability that he prefers light beer (to regular beer or no beer at all)?
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