Question

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

Answer #1

**There is a test which contains**

**4 questions as follows:**

**I) 3 questions having four multiple choices
a,b,c,d.**

**II) 1 true/false question.**

**X denotes the number of correct answers for part I and Y
denotes the number of correct answers for part II.**

**X can take values 0,1,2, 3.**

**Now, the chance of getting an MCQ right is 1/4, and
getting it wrong is 3/4.**

**So,**

**Now, the chance of getting a true/false question right,
is 1/2.**

**So, Y can take values 0 and 1.**

**So,**

**Now, the MCQs and true/false questions each are
independent of each other.**

**So, the joint probability mass function of X and Y
is**

**Where, **

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 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) \)

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
final exam has 7 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 akmy answer sheets are
possible in this case?

In a multiple choice exam there are 4 questions and
for choices for each question ABC and D Nancy has not study for the
exam at all and decides to randomly guess the answers what is the
probability that A.) the 1st question she gets right is question
number 4 B.) she gets all of the questions right and C.) she gets
at least one question right

on a multiple choice exam there are 4 questions and 4
choices for each question. What is the probability she gets all 4
questions correct? she gets 3 questions correct? she gets at least
3 questions correct? she gets at least 1 question correct?

In a multiple choice exam, there are 6 questions and 4 choices
for each question (a, b, c, d). Nancy has not studied for the exam
at all and decides to randomly guess the answers. What is the
probability that: (a) the first question she gets right is the 4th
question? (b) she gets all of the questions right? (c) she gets at
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On a certain statistics exam, there are 9 multiple choice
questions. Each question has 5 possible answers to choose from (and
only 1 correct answer). Suppose you didn’t study at all and are
planning on guessing the correct answer for each question.
Therefore, the probability of guessing a question correctly is
___________ . (Round to two decimals)
Let X = number of questions the student guesses
correctly
(Round all answers to four decimals)
a) What’s the probability you
guess at...

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