A biology quiz consists of 14 multiple-choice questions. Nine must be answered correctly to receive a passing grade. If each question has 4 possible answers,what is the probability that a student who guesses at random will pass?

Answer 1

Anthony Arnold

0.0022

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Answer 2

Anthony Amato

#0.002154#

#C(n,k) = (n!) / ((n-k)!k!)#

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Answer 3

Hunter Aldridge

#0.0022#

This is Binomial with #n= 14, p= 1/4 = 0.25# and you need to find this probability:

#P(X >= 9)# = Sum from #x=9# to #x = 14: 14Cx (0.25^x)(0.75)^(14-x)#

#P(X >= 9) = 0.0022#

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Answer 4

Andrew Adams

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.