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.​

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

a

step-by-step explanation:

the answer is a