Question

There is an ex which contains 4 questions as follow:

I) 3 questions have four multiple choices a, b, c and d

II) only one question is true and false

Let \ (X \) denotes the number of correct answers for part (I) and \ (Y \) denotes the number of correct answers in true / false part. Find the joint probability distribution function \ (f_X, _Y (x, y) \)

Answer #1

There is a quiz which contains 4 questions as follow:
I) 3 questions have four multiple choices a, b, c and d
II) only one question is true and false
Let XX denotes the number of correct answers for part (I) and YY
denotes the number of correct answers in true/false part. Find the
joint probability distribution function fX,Y(x,y)

There is an exam which contains 4 questions as
follow:
I) 3 questions have four multiple choices a, b, c and
d
II) only one question is true and false
Let XX denotes the number of correct answers for part
(I) and YY denotes the number of correct answers in true/false
part. Find the joint probability distribution function fX,Y(x,y

I) 3 questions have four multiple choices a, b, c and d
II) only one question is true and false
Let X
denotes the number of correct answers for part (I) and
Y denotes the number of correct answers in true/false
part. Find the joint probability distribution function
fX,Y(x,y)

Let X denotes the number of correct answers for part (I) and Y
denotes the number of correct answers in true/false part. Find the
joint probability distribution function fX,Y(x,y)

Q3) A multiple choice test contains 25 questions each with four
answers. Assume a student just guess on each question.
i. What is the expected number of the correct answers?
ii. What is the probability that the student answers more than
20 questions?

A multiple-choice test consists of 20 items, each with four
choices. A student is able to eliminate one of the choices on each
question as incorrect and chooses randomly from the remaining three
choices. A passing grade is 12 items or more correct. Let X be the
number of questions the student answers correctly.
a) What is the pdf of X?
b) What is the probability that the student passes?
c)What is the E(X) & Var(X)?
d)What is the m.g.f...

a quick quiz consists of true/false questions followed by a
multiple choice question with four possible answers (a,b,c,d). If
both questions are answered with random guesses:
a.)are these two types of questions independent? yes or no
b.) find the probability that both responses are correct

Multiple-choice questions each have 3 possible answers, one of
which is correct. Assume that you guess the answers to 5 such
questions.
Use the multiplication rule to find the probability that the
first four guesses are wrong and the fifth is correct. That is,
find P(WWWWC)P(WWWWC), where C denotes a correct answer and W
denotes a wrong answer.
(round answer to 4 decimal places)
P(WWWWC)=
What is the probability of getting exactly one correct answer
when 5 guesses are made?...

Professor Easy's final examination has 14 true-false questions
followed by 3 multiple-choice questions. In each of the
multiple-choice questions, you must select the correct answer from
a list of four. How many answer sheets are possible?
choices

Multiple-choice questions each have four possible answers
left parenthesis a comma b comma c comma d right parenthesis(a,
b, c, d),
one of which is correct. Assume that you guess the answers to
three such questions.
a. Use the multiplication rule to find P(WWCWWC),where C
denotes a correct answer and W denotes a wrong answer.
P(WWCWWC)equals ???
(Type an exact answer.

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