Answer to Question #336278 in Statistics and Probability for general

Question

) A car salesperson is scheduled to see two clients today. She sells only two models of cars, an executive” (E) and a “basic” (B) model. Each executive model sold earns the salesperson a commission of R2000, while each basic model sold earns her only R1000. If the sale is lost (L), no commission is earned. Suppose 𝑃(𝐸) = 0.2, 𝑃(𝐵) = 0.3, and 𝑃(𝐿) = 0.5, and that sales are independent of each other. Let the random variable 𝑋 be the total commission earned by the salesperson today. i) Find the sample space of this random experiment (replacement is allowed). (3) ii) What are the possible values of 𝑋? (3) iii) Find the probability distribution of 𝑋

Answer 1

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