11. Assume that you are about to buy a car. There is a probability of 0.4 that y

Question

11. Assume that you are about to buy a car. There is a probability of 0.4 that you wil purchase a new vehicle, and a probability of 0.5 that you will purchase a used vehicle. There is no probability that you will go home with more than one vehicle. Which of the following is(are) true? a. The probability that you will not buy a used vehicle is 0.5. b. If you buy a new car, then you will not buy a used car. c. Purchasing a new car and purchasing a used car are disjoint events. d. All of the choices are correct. 12. At a small college, all entering freshmen must take a foreign language class, chosen from the languages Spanish, French, Swahili, Chinese, and Arabic. Because there is limited space in the foreign language courses, a student cannot simultaneously enroll in more than one course The probability distribution for the language studied by a randomly selected freshman is summarized in the following table: Language Studied Probability Spanish French Swahili 0.09 ChineseArabic 0.19 0.12 0.12 What is the probability that the freshman is studying Spanish?

Explanation / Answer

Solution:-

11. option D. All of thee choices are correct

12. the probability that the freshamn is studying spanish is 0.48

=> 0.12+0.09+0.19+0.12+ freshman = 1
freshman = 1-0.52
= 0.48

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