SOLUTION: Choose a student in grades 9 to 12 at random and ask if he or she is studying a language other than English. Here is the distribution of the students: Language Spanish French

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Question 1201947: Choose a student in grades 9 to 12 at random and ask if he or she is studying a language other than English. Here is the distribution of the students:
Language Spanish French German All Others None
Probability 0.22 0.1 0.04 0.01 0.63
(a) What is the probability that a randomly chosen student is, in fact, studying a language other than English?

(b) What is the probability that a randomly chosen student is studying French, German, or Spanish?

(c) What is the probability that a randomly chosen student is studying a language besides English, but not German?
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.

(a)  To answer (a),  add the given numbers from 0.22 to 0.63, inclusive.

     Make sure that the sum is 1, or 100%.  So, the answer to (a) is  P = 1, or 100%.


     It means that the sets of students, learning the above mentioned languages,
     are disjoint and cover the entire set of students in grades 9 to 12.



(b)  It implies that P(French) = 0.1;  P(German) = 0.04;  P(Spanish) = 0.22.     ANSWER



(c)  P(not German) = 1 - 0.04 = 0.96, or 96%.    ANSWER

Solved.



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