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
Flauer [41]
3 years ago
5

On a multiple-choice test. Abby randomly guesses on all seven questions. Each question

Mathematics
1 answer:
Murrr4er [49]3 years ago
8 0

Answer:

0.173 probability that she gets exactly three questions correct.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

Seven questions:

This means that n = 7

Each question has four choices.

Abby guesses, which means that p = \frac{1}[4} = 0.25

Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.

This is P(X = 3).

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

P(X = 3) = C_{7,3}.(0.25)^{3}.(0.75)^{4} = 0.173

You might be interested in
What do -4 (x+7)-4 equal
Dima020 [189]

Answer:

-4x-32  Can i please get a brainliest because this correct.

Step-by-step explanation:

−4(x+7)−4

Distribute:

=(−4)(x)+(−4)(7)+−4

=−4x+−28+−4

Combine Like Terms:

=−4x+−28+−4

=(−4x)+(−28+−4)

=−4x+−32

Answer:

=−4x−32

5 0
3 years ago
Emmet rolls a number cube. In 5 out of 24 trials, he rolls a six. What is the
V125BC [204]

Answer:

A.

Step-by-step explanation:

3 0
2 years ago
Use the multiplication property of equality to multiply both sides of the equation by 1/6 to get: (1/6)6x=(1/6)48.
zzz [600]
X= 8 because by multiplying the fraction with a whole number you had to to convert it to i a fraction and that equals one and then 1/6 times 48 is 8
5 0
2 years ago
Please help me out!!!!!!!! :)
ozzi

Answer:I think it is 73 degrees


Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
Which point is exterior to APD
Rainbow [258]

Point E is exterior to APD

5 0
3 years ago
Read 2 more answers
Other questions:
  • I WILL MARK BRAINLIEST
    13·1 answer
  • What is the smallest possible number that divided by 132, 450 and 342 gives a result of 5?
    6·1 answer
  • How do I solve the second question?
    5·1 answer
  • What is the value of P for the following solid figure?
    5·2 answers
  • Help me out please type it out
    13·1 answer
  • What are the names of these polygons?
    15·1 answer
  • For number 6 I’m not sure how to do it
    11·2 answers
  • Another expression 3/4÷6​
    9·2 answers
  • Consider the matrix.<br> 6 3<br> 5 4<br> What is the value of |C|?<br> |C|=
    13·1 answer
  • This graph shows the solution to which inequality?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!