Giving a test to a group of students, the grades and gender are summarized below   A B C Total Male 12 29 43 84 Female 46 39 36 121 Total 58 68 79 205 If one student is chosen at random, answer the following probabilities using either a fraction or a decimal rounded to three places. Find the probability that the student received a(n) B in the class.   Find the probability that the student is a female.   Find the probabilty that the student was a male and recieved a(n) C in the class.   Find the probability that the student received a(n) A in the class, given they are female.   Find the probability that the student is a female given they received a(n) A in the class.   Find the probability that the student is a female and received a A in the class.   Find the probability that the student received an A given they are female.   Find the probability that the student received an A and they are female.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Giving a test to a group of students, the grades and gender are summarized below

  A B C Total
Male 12 29 43 84
Female 46 39 36 121
Total 58 68 79 205

If one student is chosen at random, answer the following probabilities using either a fraction or a decimal rounded to three places.

  1. Find the probability that the student received a(n) B in the class.
     

  2. Find the probability that the student is a female.
     

  3. Find the probabilty that the student was a male and recieved a(n) C in the class.
     

  4. Find the probability that the student received a(n) A in the class, given they are female.
     

  5. Find the probability that the student is a female given they received a(n) A in the class.
     

  6. Find the probability that the student is a female and received a A in the class.
     

  7. Find the probability that the student received an A given they are female.
     

  8. Find the probability that the student received an A and they are female.
     
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From the provided information,

  A B C Total
Male 12 29 43 84
Female 46 39 36 121
Total 58 68 79 205
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