Michael has studied a lot to get ready for the upcoming Applied Statistics Exam. Suppose his ability to answer correctly to any one of Exam problems is 75%. The Exam problems are independent from one another, and the number of Exam problems is 8.a. What is the probability that he will get two wrong answers?
b. What is the expected value and variance of the number of correct answers?
c. What is the probability that he will get at most two wrong answers?

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system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.