Posted by tanya on Saturday, December 4, 2010 at 11:16pm.
Quiz has 6 questions. Each question has five possible answers,
only one of each 5 answers is correct.
If student randomly guesses on all six questions,
what is the probability to answer 2 questions right?
Tip: first, you have to define parameters of Binomial distribution:
n  how many trials/questions do you have
p  probability guessing right answer to each question
x  how many successes do you expect.
Then use Appendix Table or Excel function for Binomial distribution.
Answer

statistic  MathMate, Sunday, December 5, 2010 at 8:54am
Assuming the 6 questions are independent,
n=6 (questions)
p=probability of guessing the right answer (1/5)
x=exactly the number of successes over the 6 questions (2).
Look up the appendix table, or the Excel function to calculate the probability.
Alternatively, use the formula:
P(x) = C(n,x)*p^{x}*(1p)^{nx}
Where C(n,x) represents the number of combinations of taking n things, x at a time.

statistic  Mare, Tuesday, October 25, 2011 at 11:48am
.8

statistic  Anonymous, Wednesday, October 17, 2012 at 1:39pm
on a test midterm exam each multiple choice question provides five possible answers. what is the probability of randomly guessing three consecutive questions correctly?

statistic  Anonymous, Tuesday, May 28, 2013 at 7:09pm
.324

statistic  Anonymous, Tuesday, December 8, 2015 at 6:27pm
.24576
You're welcome

geology  abrham kussbilo, Thursday, June 9, 2016 at 10:52am
0.24576

geology  abrham kussbilo, Thursday, June 9, 2016 at 10:55am
answer 0.24576

statistic  abrham kussbilo, Thursday, June 9, 2016 at 10:57am
p(x=4)=0.24576

statistic  Xu, Wednesday, November 30, 2016 at 4:25pm
p(x=4) = binompdf(6, 1/5, 4) = 0.2458
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