A French professor gives Sections 1 and 2 of a French course the same passage to

Question

A French professor gives Sections 1 and 2 of a French course the same passage to translate. Section 1 has 24 students, and 6 translate the passage correctly. Section 2 has 20 students, and 8 translate the passage correctly. (See Example 3.) (a) If one of the papers is selected at random, what is the probability that it is a correct translation? (Round your answers to three decimal places.) (b) One of the papers is selected and is known to be from Section 1. What is the probability that it is a correct translation? (Round your answers to three decimal places) (c) A paper is selected and is known to be a correct translation. What is the probability that it is from Section 2? (Round your answers to three decimal places.) Need Help?Read It Talk to a Tutor +-2 points RolfFM7 7.4.007 My Notes Ask Your Teache A class has 18 boys and 9 girls. One student is selected. F is the event of selecting a girl, and K is the event of selecting Kate, one of the girls in the class. Determine P(K I F and P(F I K). (Round your answers to three decimal places.)

Explanation / Answer

a) Probability = (6+8)/(24+20) = 14/44 = 7/22 =0.31818

b)Probaiblity = 6/24=0.25

c)P(Section 2 /Correct) = 8/20 / [ 8/20+6/24]=0.4/0.65=8/13=0.6153

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