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Meagan Dubean manages a portfolio of 200 common stocks. Her staff classified the

ID: 2948515 • Letter: M

Question

Meagan Dubean manages a portfolio of 200 common stocks. Her staff classified the portfolio stocks by 'industry sector' and 'investment objective. Investment Objective Growth Industry Sector Airlines 21 Electronics 84 36 120 Healthcare 35 15 50 Total 140 60 200 Income Total 30 Which of the following statements is true? Growth and Healthcare are complementary events. Electronics and Growth are independent. Electronics and Growth are mutually exclusive Airlines and Healthcare are collectively exhaustive Electronics and Healthcare are collectively exhaustive

Explanation / Answer

P(electronics)=120/200=0.6

P(Growth)=140/200=0.7

P(Electronics and Growth)=84/200=0.42

for independent event P( Electronics and Growth )=P(growth)*P(Electronics)

0.42=0.6*0.7

so Electronics and Growth are independent event . option B is correct

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