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
Solve the equation with special factors. (Please show all steps) <br> 16q^2 - 81 = 0
guapka [62]

Answer: q=\frac{\sqrt{81}}{16}

Step-by-step explanation:

16q^2-81=0\\16q^2=0+81=81\\16q=\sqrt{81} \\q=\frac{\sqrt{81}}{16}

5 0
3 years ago
Read 2 more answers
Which is the equation in slope-intercept form for the line that passes through (3, 7)
quester [9]

Answer:

y =  -  \frac{5}{3} x + 12

Step-by-step explanation:

First, rewrite the given equation in the form of y=mx+c.

m is the gradient while c is the y-intercept.

3x-5y=8

5y= 3x -8

y =  \frac{3}{5} x -  \frac{8}{5}

Thus, the gradient of the given equation is ⅗.

The product of the gradients of perpendicular lines is -1.

(gradient of line)(⅗) = -1

gradient of line= -1 ÷⅗

gradient of line= -  \frac{5}{3}

y =  -  \frac{5}{3} x + c

To find the value of c, substitute a coordinate.

When x=3, y=7,

7 =  -  \frac{5}{3} (3) + c

7= -5 +c

c= 7+5

c= 12

Hence, the equation of the line is y =  -  \frac{5}{3} x + 12.

6 0
3 years ago
PLS answer the question below. I will mark brainliest!!
sesenic [268]

Answer:

5 triangles maybe?

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
The sum of two consecutive odd integers is 28. What are the integers?
Fantom [35]
The correct option is B): "<span>Let x = 1st integer. Let x + 2 = 2nd integer.</span><span>"
Given that "The sum of two consecutive odd integers is 28."
 
Now the difference between two odd numbers is 2. So this means that one odd number has to be greater than the other by 2.

Let the smaller number be 'X' therefore the bigger number will be 'x+2' thus x + (x+2) = 28
 
therefore, x + x + 2 = 28 now we subtract "2" from both the sides
therefore, 2x = 26 now dividing throughout by 2 we get:

x = 13 therefore, x + 2 = 13+2
                                    = 15
 
therefore, the numbers are 13 AND 15</span>
4 0
3 years ago
Solve the equation. Then check your solution. 1.6a=-9.12
balu736 [363]
B.) a=-5.7
1.6(a)=-9.12
(a)=(-9.12)/(1.6)
a=-5.7
7 0
3 years ago
Read 2 more answers
Other questions:
  • There are $5$ girls and $5$ boys in a chess club. The club holds a round-robin tournament in which every player plays against ev
    5·1 answer
  • The product of three more than a number and eight is fourteen.
    13·1 answer
  • Divide -2x^3-5x^2+4x+2 by x+2
    13·1 answer
  • If p is true and ~ q is false, then p ~ q is always, sometimes, never false.
    10·1 answer
  • Give the equation of the line with a slope of 6/5<br> and a y-intercept of 1.
    12·1 answer
  • PLEASE HELP MEEE <br> I will give a crown to the right answer
    13·1 answer
  • -3(4n+2)=-4n+-2(4n-6)​
    6·2 answers
  • Which best describes the inventor of a triangle?
    6·1 answer
  • How many milliliters are equal to 4.593 liters?
    6·2 answers
  • write the equation of the line that is parallel to the line y=-5/3x-2 and goes throught the point (-3,1)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!