Question

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 flights have

arrived on time. A sample of 14 flights is studied. (Hint: Use
Table A)

a) State why the scenario is binomial. Also, state n and p.

b) Find the probability exactly 14 of the flights were on
time.______________

c) Find the probability at least 12 of the flights were on
time._______________

d) Find the probability at most 10 of the flights were on
time._______________

e) Find the probability less than 9 of the flights to be on
time._____________ Is this unusual?______

f) Find the mean.__________________

g) Find the standard deviation.___________________

I will appreciate if someone helps me solve these two exercises but I also need to show me the work, explaining each step

Answer #1

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.

your flight has been delayed. at Philadelphia international
airport, 80% of recent flights have arrived on time. a sample of 14
flights is studied. a) find the probability that exactly 14 of the
flights were on time. b) find the probability that at least 12 of
the flights were on time.c) find the probability that at most 10 of
the flights were on time. d) would it be unusual for less than 9 of
the flights to be on time.e)...

A student takes a multiple-choice test that has 10 questions.
Each question has five choices. The student guesses randomly at
each answer. 1. Find P(2) 2. P (more than 3)

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...

A student takes a multiple choice test consisting of 5 questions
where there are 4 choices per question. Also, each question is
worth 20 points. Suppose the student guesses on each question. Let
X be the number of questions the student gets correct. The
probability distribution for X is given below. Find the variance of
X. Do not give units and give your answer to four decimal
places.
x
0
1
2
3
4
5
P(X=x)
0.2373
0.3955
0.2637
0.0879...

A student takes a containing 19 multiple-choice questions. Each
question has 5 choices. If the student guesses, what is the
probability that he will get between 3 and 5 (both inclusive)
questions right? Round your answer to four decimal places.

Suppose in a multiple choice type test, each question has five
choices. To discourage students from guessing the correct answer,
the following scoring method is used: 7 points for correct answer,
0 point for wrong answer, and 2 points for leaving the question
unanswered. What is the minimum number of choices
in each question a student should be able to eliminate, so that it
becomes advantageous to guess from the remaining choices?
choice: 1 2 3 4

A student takes an exam containing 19 multiple choice questions.
Each question has 5 choices. If the student guesses, what is the
probability that he will get less than 7 but more than 5 questions
right? Round your answer to four decimal places

2. You are taking a 33 question multiple choice test, each
question with 4 choices. Assume that getting 23 questions or more,
correct, will result in a passing grade on the test. Complete parts
(a), (b), and (c).
(a) If you randomly guess on a single question, what is the
probability that you will get that question correct?
(b) If you randomly guess on all 33 questions, what is the
probability that you will pass?
(c) About what number of...

A multiple choice test consisting of 10 questions. each question
has four choices. a,b,c, and d tell how you would find the
probability of guessing at least one correct answer, without the
use of binomial probability formula. what rule would your use to
simplify your solution?

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