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

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

`P(r) = C_n^r*p^r*q^(n-r)`

Notice that the 5 questions are 4 choice questions, hence the probability to get one
correct choice out of 4 is: `p = 1/4 = 0.25` .

You need to remember that
`p+q=1 =gt q = 1 - 1/4 = 3/4 = 0.75`

Hence, the probability not to get a
correct answer is of `3/4=0.75` .

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

`P(5) =
C_5^5*(0.25)^5*(0.75)^(5-5)`

`P(5) = 1*0.0009*1 =gt P(5) =
0.0009`

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