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In Class Quiz Questions 1

# In Class Quiz Questions 1 - ]= = Pr A C Pr A 0 080 2 0 4...

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(0.2)(0.4)=0.08 C 0.2 0.5 0.3 0.6 0.4 0.8 0.2 D E D C B A (0.8)(0.3)=0.24 R 3/9 1/3 Pr [exactly5 Correct] = C (6, 5) ( ) 13 5 ( ) = 23 1 6 ( ) 23 ( ) 13 5 =4∙ ( ) = 13 5 4243 r. A student randomly guesses on all 6 questions. Find the probability that the student gets exactly 5 questi ]= + = = W 1919 512 191936 19 = 3619 419 12 29=19 12 56=512 5/6 1/6 4/9 2/9 0.5=1/2 0.5=1/2 W W RB B H T Quiz questions 2.Given the following tree diagram with probabilities, find Pr[C given A], Pr[B and C], and Pr[A given C] Answered 0.4, 0.4, and 0.25 .2 to A, .4 to C or .6 to D Point A has two branches C and D .8 to B, .3 to C, or .2 to D, or .5 to E Point B has 3 branches C, D, E Pr[C /A] = [ ] [ ]= .

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Unformatted text preview: [ ]= . . = Pr A C Pr A 0 080 2 . 0 4 Pr [B ∩ C] = 0.24 Pr [A /C] = [ ∩ ] [ ] Pr A C Pr C = . . + . = . . = . 0 080 08 0 24 0 080 32 0 25 1 1.A fair coin is flipped. If the flip results in a head, then a marble is selected from an urn containing 3 red, 2 white, and 4 blue marbles. If it results in a tail then a marble is selected form an urn containing 1 red and 5 white marbles. If the marble selected is white, then what is the probability that a flip resulted in a head? Answered 4/19 CORRECT Pr [H] = Pr [T] =0.5 H : 3R, 2W, 4B= 9 marbles T : 1R, 5W = 6 marbles...
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In Class Quiz Questions 1 - ]= = Pr A C Pr A 0 080 2 0 4...

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