Choose a student in grades 9 - 12 at randomand ask if he or she is studying a la

Question

   Choose a student in grades 9 - 12 at randomand ask if he or she is studying a language other thanenglish. Here is the distribution of results: Language   Spanish      French      German      Allothers      None Probability      0.26         0.09         0.03            0.03            0.59 (a.) Explain why this is a legitimate probability model. (b.) What is the probability that a randomly chosen student isstudying a language other than English? (c.) What is the probability that a randomly chosenstudent is studying French, German, or Spanish?    Choose a student in grades 9 - 12 at randomand ask if he or she is studying a language other thanenglish. Here is the distribution of results: Language   Spanish      French      German      Allothers      None Probability      0.26         0.09         0.03            0.03            0.59 (a.) Explain why this is a legitimate probability model. (b.) What is the probability that a randomly chosen student isstudying a language other than English? (c.) What is the probability that a randomly chosenstudent is studying French, German, or Spanish?

Explanation / Answer

a) Because the sum of prob is equal to 1:0.26+0.09+0.03+0.03+0.59 = 1 Also, all these prob are all positive probabilities b) P(studying other than English) = 0.26+0.09+0.03+0.03 =0.41 c) P(French, German or Spanish) = 0.26+0.09+0.03 = 0.38

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