1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lina2011 [118]
2 years ago
6

In a multiple choice exam, there are 5 questions and 4 choices for each question (a, b, c, d). Nancy has not studied for the exa

m at all and decides to randomly guess the answers. What is the probability that:.
SAT
1 answer:
maria [59]2 years ago
8 0

Using the binomial distribution, it is found that there is a 0.6836 = 68.36% probability that she guesses at least one right.

For each question, there are only two possible outcomes, either she gets it right or she does not get it right. The probability of getting a question right is independent of any other question, hence the <em>binomial distribution</em> is used to solve this question.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • There are 5 questions, hence n = 5.
  • For each question, she guesses one out of 4 options, hence p = 1/4 = 0.25.

The probability that she guesses at least one right is:

P(X \geq 1) = 1 - P(X = 0)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{4,0}.(0.25)^{0}.(0.75)^{4} = 0.3164

Hence:

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3164 = 0.6836

0.6836 = 68.36% probability that she guesses at least one right.

You can learn more about the binomial distribution at brainly.com/question/24863377

You might be interested in
One people mover has a velocity of 2m/s and is used to move people to a gate 200 m away two different people were traveling to t
Ne4ueva [31]

Answer:

60 sec.

Explanation:

The first person has to travel 200m at 2 m/s. It will take him 200/2=100 seconds to reach the gate. The second person is moving towards the gate at 2 + 3 meters per second so it will take her 200/5 = 40 seconds to reach the gate. Therefore, person #1 needs an extra 100-40 = 60 seconds.

4 0
3 years ago
Suppose the profit maximizing output is 160,000 smart rackets
hammer [34]

The attached graph shows the required curves to be drawn. One of the curves is called the Marginal Revenue Curve.

<h3>What is a marginal revenue curve?</h3>

At the market price, the marginal revenue curve is a horizontal line, suggesting completely elastic demand, and it is equal to the demand curve.

Monopoly occurs when one corporation is the exclusive vendor of a distinct product in the market.

Learn more bout marginal revenue curve at;
brainly.com/question/17049363
#SPJ1

Full Question:

The graph shows the market for smart rackets.

Suppose the​ profit-maximizing output is​ 160,000 smart rackets.

Draw the​ firm's marginal revenue curve. Label it MR.

Draw the​ firm's marginal cost curve. Label it MC.

Draw a point at the​ profit-maximizing output and price.

Draw a shape to show the​ firm's economic profit. Label it.

7 0
2 years ago
The relationship between marine iguanas and algae they eat is an example of.
Andrej [43]

Answer:

food chain? circle of life?

Explanation:

3 0
2 years ago
What is meant by the term amiable, as it is used in the sentence? a) friendly b) lukewarm c) rude d) surly
IRISSAK [1]

Given the term "amiable" as it is used in the sentence, it meant "to be friendly"

<h3>The definition of each word</h3>

  • Amiable: This means to be Friendly, kind, sweet and gracious.

  • Friendly: To be henerally warm, approachable and easy to relate with in character.

  • Lukewarm: Between warm and cool. Not enthusiastic person

  • Rude: A person who is bad mannered.

  • Surly: A Lordly, arrogant, Irritated, bad-tempered, unfriendly person.

Therefore, what is meant by the term amiable, as it is used in the sentence is "friendly".

Learn more about meaning of words:

brainly.com/question/968894

8 0
2 years ago
How does the term ""the white man’s grave"" explain why much of africa went unexplored by europeans for so long?.
Komok [63]

Answer:

This term refers to the dangers Europeans faced in Africa's interior due to disease, wild animals, and hostile tribes.

Explanation:

got it right on the quiz

3 0
2 years ago
Other questions:
  • Water is made up of which two elements?
    9·2 answers
  • The expression: Can you explain how to factor out the 1/3 from 2 in detail I am having trouble.
    11·1 answer
  • Which activities do those opposed to globalization believe harm or destroy the cultures of indigenous peoples?
    9·1 answer
  • Read the passage from a text about the rain forests of South America.
    8·2 answers
  • How are CLEP scores sent to colleges and university’s
    9·2 answers
  • The title of the passage is “The Orchid’s Secret.” Based on the information in the passage, what secret may the title be referri
    15·1 answer
  • Summer break is usually a time for vacations at the beach, afternoons at the pool, and catching up with friends. Can you imagine
    15·1 answer
  • Raj can exchange 15 Euros for 11 British Pounds. At
    9·1 answer
  • What was an outcome of the wars for independence in latin america brainly.
    6·1 answer
  • Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A research institute poll asked respon
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!