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
Eddi Din [679]
3 years ago
10

A student answers a multiple-choice examination question that offers four possible answers. Suppose the probability that the stu

dent knows the answer to the question is 0.9 and the probability that the student will guess is 0.1. Assume that if the student guesses, the probability of selecting the correct answer is 0.25. If the student correctly answers a question, what is the probability that the student really knew the correct answer? (Round your answer to four decimal places.)
Mathematics
1 answer:
Nitella [24]3 years ago
7 0

Answer: 0.9730

Step-by-step explanation:

Let A be the event of the answer being correct and B be the event of the knew the answer.

Given: P(A)=0.9

P(A^c)=0.1

P(B|A^{C})=0.25

If it is given that the answer is correct , then the probability that he guess the answer P(B|A)= 1

By Bayes theorem , we have

P(A|B)=\dfrac{P(B|A)P(A)}{P(B|A)P(A)+P(C|A^c)P(A^c)}

=\dfrac{(1)(0.9)}{(1))(0.9)+(0.25)(0.1)}\\\\=0.972972972973\approx0.9730

Hence, the student correctly answers a question, the probability that the student really knew the correct answer is 0.9730.

You might be interested in
HELP I NEED THIS REALLY FAST WILL GIVE BRANILIEST!!!
sveta [45]

question a is 80

question b 20 (is what I could find but not completely sure)

4 0
2 years ago
Read 2 more answers
Given the domain (-2,2,4) what is the range for the relation 3x-y=3
Bumek [7]

Answer:

Given the domain, the range for 3x-y = 3 is {-9, 6, 9}

Step-by-step explanation:

First you have to put the relation in terms of y ⇒ 3x - y = 3⇒ 3x -3 = y

⇒ y = 3x - 3.

Then you replace the values indicated by the domain to find their "y" values (the ones that constitute the range).

f(-2) = -9

f(2) = 6

f(4) = 9.

Finally, the range for the given domain is {-9, 6, 9}

3 0
3 years ago
The spring concert at a certain high school sold 155 tickets. Students were charged ​$4 each and adults $8 each. The income from
garik1379 [7]

Answer:

Step-by-step explanation:  85 students and 80 adults        

6 0
3 years ago
What is the simplified form of the quantity of x plus 4, all over the quantity of 7 − the quantity of x plus 3, all over the qua
scoundrel [369]
\frac{x + 4}{7} -\frac{x + 3}{x + 5} =\frac{(x + 4)(x + 5)}{7(x + 5)} -\frac{7(x + 3)}{7(x + 5)} =\frac{x(x + 5) + 4(x + 5)}{7(x) + 7(5)} - \frac{7(x) + 7(3)}{7(x) + 7(5)} =\frac{x(x) + x(5) + 4(x) + 4(5)}{7x + 35} - \frac{7x + 21}{7x + 35} =\frac{x^{2} + 5x + 4x + 20}{7x + 35} -\frac{7x + 21}{7x + 35} =\frac{x^{2} + 9x + 20}{7x + 35} - \frac{7x + 21}{7x + 35} =\frac{(x^{2} + 9x + 20) - (7x + 21)}{7x + 35} =\frac{x^{2} + (9x - 7x) + (20 - 21)}{7x + 35} =\frac{x^{2} + 2x -1}{7x + 35}
3 0
3 years ago
Need asap please. Brainliest for correct answer.
maks197457 [2]
Correct answer is
A) -4(m+y)
7 0
3 years ago
Other questions:
  • one section of an auditorium has 12 rows of seats each row has 13 seats what is the total number of seats in that section
    12·2 answers
  • Justin brought a 20 pounds pumpkins for $9.80. How much did he pay per pound?
    13·2 answers
  • 7. Jason bought a soft drink for
    13·2 answers
  • 18-20 are these correct <br> Last ones!!!!!
    13·2 answers
  • In one version of trail mix, there are 3 cups of peanuts mixed with 2 cups of raisins. In another version of trail mix, there ar
    8·1 answer
  • What is 8 1/3 x 3/5?
    11·1 answer
  • How to change 0.393 into a fraction
    10·2 answers
  • If line HC and line GD are parallel, which statement is true?
    11·1 answer
  • Rewrite <br> 6 3/4<br> as an improper fraction.
    15·2 answers
  • Everything in the store was at 30% discount . A dress was originally for 65$ . What was the discount price ?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!