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(52776)   (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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