Question

Here is a simple probability model for multiple-choice tests.
Suppose that each student has probability *p* of correctly
answering a question chosen at random from a universe of possible
questions. (A strong student has a higher *p* than a weak
student.) The correctness of answers to different questions are
independent. Jodi is a good student for whom *p* = 0.82.

(a) Use the Normal approximation to find the probability that
Jodi scores 78% or lower on a 100-question test. (Round your answer
to four decimal places.)

(b) If the test contains 250 questions, what is the probability
that Jodi will score 78% or lower? (Use the normal approximation.
Round your answer to four decimal places.)

(c) How many questions must the test contain in order to reduce the
standard deviation of Jodi's proportion of correct answers to half
its value for a 100-item test?

questions

(d) Laura is a weaker student for whom *p* = 0.77. Does the
answer you gave in (c) for standard deviation of Jodi's score apply
to Laura's standard deviation also?

Answer #1

Here is a simple probability model for multiple-choice tests.
Suppose that each student has probability p of correctly
answering a question chosen at random from a universe of possible
questions. (A strong student has a higher p than a weak
student.) The correctness of answers to different questions are
independent. Jodi is a good student for whom p = 0.81.
(a) Use the Normal approximation to find the probability that
Jodi scores 75% or lower on a 100-question test. (Round...

Here is a simple model for multiple-choice tests. Suppose that
each student has a probability of p of correctly answering a
question chosen at random from a universe of possible questions. (a
strong student has a higher p than a weak student.) The correctness
of answers to different questions are independent. Jodi is a good
student for whom p= 0.76. (c) How many questions must the test
contain in order to reduce the standard deviation of Jodi's
proportion of correct...

Here is a simple probability model for multiple-choice tests.
Suppose that each student has probability p of correctly
answering a question chosen at random from a universe of possible
questions. (A strong student has a higher p than a weak
student.) The correctness of answers to different questions are
independent. Jodi is a good student for whom p = 0.83.
(a) Use the Normal approximation to find the probability that
Jodi scores 78% or lower on a 100-question test. (Round...

Here is a simple probability model for multiple-choice tests.
Suppose that each student has probability p of correctly
answering a question chosen at random from a universe of possible
questions. (A strong student has a higher p than a weak
student.) The correctness of answers to different questions are
independent. Jodi is a good student for whom p = 0.83.
(a) Use the normal approximation to find the probability that
Jodi scores 78% or lower on a 100-question test.(Round the...

2. A multiple-choice test has 25 questions. There are four
choices for each question. A student who has not studied for the
test decides to answer all questions by randomly choosing one of
the four choices. What probability distribution can be used to
compute his chance of correctly answering at least 15
questions?
a. Normal distribution b. Binomial distribution c. Poisson
distribution d. None of these

a student takes a multiple choice test that has 30 questions.
each question has 5 choices. the student did not study for the test
and decides to randomly guess at each question. a) find the
probability the student gets exactly 10 problems correct. b)
calculate the mean. c) calculate the standard deviation. statistics
and probability.

A student takes a multiple-choice test that has 40 questions.
Each question has 5 choices. The
student did not study for the test and decides to randomly guess at
each question. (Hint: The
probability of guessing correctly is 0.2.) Round the probability to
four decimal places.
a) Find the probability the student gets exactly 10 problems
correct._______________
(Show work.)
b) Calculate the mean.____________
c) Calculate the standard deviation._____________
Your flight has been delayed. At Philadelphia International
Airport, 90% of recent...

A multiple-choice test consists of 25 questions, each with four
possible answers. If our desperate business statistics student
answers the test by guessing the answers before reading the
questions (that is, by selecting an answer at random for each
question), use the normal curve approximation to find the
probabilities that he will get:
exactly six correct answers (b) at least seven correct
answers
fewer than four correct answers (d) more than two, but fewer
than nine correct answers
What is...

Consider a multiple-choice examination with 50 questions. Each
question has four possible answers. Assume that a student who has
done the homework and attended lectures has a 65% chance of
answering any question correctly. (Round your answers to two
decimal places.)
A student must answer 45 or more questions correctly to obtain a
grade of A. What percentage of the students who have done their
homework and attended lectures will obtain a grade of A on this
multiple-choice examination? Use...

Consider a multiple-choice examination with 50 questions. Each
question has four possible answers. Assume that a student who has
done the homework and attended lectures has a 65% chance of
answering any question correctly. (Round your answers to two
decimal places.)
(a)
A student must answer 43 or more questions correctly to obtain a
grade of A. What percentage of the students who have done their
homework and attended lectures will obtain a grade of A on this
multiple-choice examination?...

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