When taking a 11 question multiple choice test, where each question has 4 possible answers, it would be unusual to get 3 incorrect or more questions correct by guessing alone. note: of course it would be unusual to get 11 questions correct. you need to enter the smallest possible number of questions to make getting "that many correct" unusual.

6

Step-by-step explanation:

probability of answering a question correct p=1/4

let minimum number number of question that would be unusual =n

hence from binomial distribution P(X>=n) <0.05

by solving:

n=6

it would be unusual to get 6 or more questions correct by guessing alone.

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves