5 marks A student takes a twelve-question true-false quiz but did not study and randomly guesses each answer. Of interest is the number of questions the student gets right. a) Use words to describe what the random variable X of interest here? b) State the assumptions that need to be made to model this situation with the binomial distribution. c) Give the relevant parameters: n = ? p= ? X = ? d) Calculate the probability that the student gets 6 questions right. Include working or hje excel formula used. e) Use words to explain what it means if she gets at least 6 questions right. Calculate the probability that the student gets at least 6 questions right. Include working or the excel formula used.​

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step-by-step explanation:

replication and blocking

step-by-step explanation:

step-by-step explanation:

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.