A student forgets to study for an exam consisting of ten multiple choice questions, each with three possible answers. Instead, the student will have to randomly guess, so that there is a 1 3 probability of getting any arbitrary question right. If 6 or more correct answers is a passing score, what

Complete question :

A student forgets to study for an exam consisting of ten multiple choice questions, each with three possible answers. Instead, the student will have to randomly guess, so that there is a 1 3 probability of getting any arbitrary question right. If 6 or more correct answers is a passing score, what is the probability of passing

0.07656

Step-by-step explanation:

Given that:

P(correct guess) = 1/3 ; p= 0.33333

Number of questions /trials = 10

P(x ≥ 6) = p(6) + p(7) + p(8) +... + p(10)

This is the sum of the probabilities of getting exactly 6, 7, 8, 9 or 10 questions.

Using the binomial probability calculator to save computation time :

P(x ≥ 6) = 0.07656

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

answer: x=60