binomial probability distribution question #4 A student is taking a multiple choice exam in which each question has 4 choices. Assuming that she has...

Sunday, March 9, 2014

binomial probability distribution question #4 A student is taking a multiple choice exam in which each question has 4 choices. Assuming that she has...

ï»¿You need
to use binomial probability formula to determineï»¿ what is the probability that the student to
get 5 questions out of 5 correct, hence:

$\displaystyle{P}{\left({r}\right)}={{C}_{{n}}^{{r}}}\cdot{{p}}^{{r}}\cdot{{q}}^{{{n}-{r}}}$

Notice that the 5 questions are 4 choice questions, hence the probability to get one
correct choice out of 4 is: $\displaystyle{p}=\frac{{1}}{{4}}={0.25}$ .

You need to remember that
$\displaystyle{p}+{q}={1}=\gt{q}={1}-\frac{{1}}{{4}}=\frac{{3}}{{4}}={0.75}$

Hence, the probability not to get a
correct answer is of $\displaystyle\frac{{3}}{{4}}={0.75}$ .

Evaluating the probability that the student
to get 5 correct answers out of 5 such that:

$\displaystyle{P}{\left({5}\right)}=$
C_5^5*(0.25)^5*(0.75)^(5-5)

$\displaystyleï»¿{P}{\left({5}\right)}={1}\cdot{0.0009}\cdot{1}=\gt{P}{\left({5}\right)}=$
0.0009

Hence, the probability that the student to get 5
answers correct is of 0.0009.

Spooky Notes

Sunday, March 9, 2014

binomial probability distribution question #4 A student is taking a multiple choice exam in which each question has 4 choices. Assuming that she has...

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