Question 1041974: For a test of 8 true‐false questions, determine the probabilities of the events if every question is answered by guessing. Enter your answers as fractions.
a)Getting the first five questions correct.
Found 2 solutions by stanbon, robertb:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! For a test of 8 true‐false questions, determine the probabilities of the events if every question is answered by guessing. Enter your answers as fractions.
a)Getting the first five questions correct.
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Since the event results are independent,
P(x = 5 correct) = (1/2)^5 = 1/32
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Cheers,
Stan H.
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Answer by robertb(5830)  (Show Source):
You can put this solution on YOUR website! Let x = the random variable for the number of correct answers.
The possible values of x are 0,1,2,3,4,5,6,7, and 8.
The probability mass function would then be
 .
The probability of getting the first five questions correct is  .
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