Mathematics College

An examination consists of multiple-choice questions, each having five possible answers. Linda estimates that she has probability 0.4 of knowing the answer to any question that may be asked. If she does not know the answer, she will guess, with conditional probability 1/5 of being correct.A. What is the probability that Linda gives the correct answer to a question? B. What is the conditional probability that Linda knows the answer, given that she supplies the correct answer?

Answers

Answer 1

Answer:

a. 0.52 = 52% probability that Linda gives the correct answer to a question.

b. 0.7692 = 76.92% probability that Linda knows the answer

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Supplies the correct answer:

Event B: Knows the answer

A. What is the probability that Linda gives the correct answer to a question?

0.4(knows the answer)

1/5 = 0.2 of 1 - 0.4 = 0.6(guesses the answer). So

[tex]P(A) = 0.4 + 0.2*0.6 = 0.52[/tex]

0.52 = 52% probability that Linda gives the correct answer to a question.

B. What is the conditional probability that Linda knows the answer, given that she supplies the correct answer?

Intersection of events A and B is knowing the answer and giving the correct answer, which means that [tex]P(A \cap B) = 0.4[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.52} = 0.7692[/tex]

0.7692 = 76.92% probability that Linda knows the answer

Related Questions

Which expression is equivalent to 2.5+4(3/4a-5)-9.5?

Answers

Answer:

11

Step-by-step explanation:

Answer:

The first one is 2.5+3a-20-9.5,

and 3a-27 for the second one.

You can see in the picture pls help for homework

Answers

Answer:

For the .5s, go between the numbers for example, 4.5 is between 4 and 5 so you graph between them. Remember that the rule is (x,y) so graph the x (first number) on the horizontal line and graph the y (second number) on the vertical line.

Find the volume. Show your work
I’ll give brainliest

Answers

Answer:

360 km^2

Step-by-step explanation:

(this is a rectangular prism)

Volume = length * width * height

Volume = 5 * 6 * 12

Volume = 360 km^2

2/3a-7+7/18a-5 1/6 no need explanation just the answer

Answers

Answer:

19a−219/18

Step-by-step explanation:

(2)/(3)a-7+(7)/(18)a-5(1)/(6)

=19a−219/18

9 x 1/4 =?
1x 23/100=?

Answers

Answer:

fwoggy

Step-by-step explanation:

You and a friend were invited to a party you both were asked to bring pizzas and chips

Answers

What is the full question!?

Answer:

Then if each would bring 1 of each so there would be 2 pizzas and 2 bag of chips

Step-by-step explanation:

lol id.k/ if this was supposed to be a joke but here I am ◑﹏◐

Which of these expressions is equivalent to log (
9.4)?
O A. log (9) - log (4)
O B. log (9) • log (4)
O C. 9. log (4)
O D. log (9) + log (4)

Answers

Letter D dude Goodluck!!

Hey guys I need some heeeeeeelp please and thank you; Please explain
50 points

Answers

Answer:

8 full gas cans

Step-by-step explanation:

The volume of the rectangle is 8000 cm³. That divided by 1000 is 8...

Can someone help me with this I’m really bad in geometry

Find Y Round to the nearest tenth.
у
12
25°

Answers

I redrew the triangle (just turned it around it make it easier to understand).

Use the Distributive Property to
REWRITE -3(c-8)

Answers

-3c + 24 I’m pretty sure

Answer:-3c +24

Step-by-step explanation:

-3(c) and -3 (-8)

-3c and two negatives equal a positive, so +24

please y HELP MATHEMATICS

Answers

240 because I know how to do this

Solve for x.
4x + 1 = 3x - 2
x= [?]

Answers

4x + 1 - 3x -2 =0
<=> x - 1 = 0
<=> x = 1

-4a - 7 = 3 - 4a - 7
a) -6
b) no solution
c) -8
d) -9

Answers

No solution would be the answer because if you solve it you don’t get an answer

Answer:

it should be 3

..............

Four times w is 16.

Answers

Answer:

w = 4

Step-by-step explanation:

4w=16

w = 16/4

w = 4

Step-by-step explanation:

The question is unclear. If the original question is telling you to make the word expression into an algebraic expression, the answer would be 4w = 16. On the other hand, if it was asking you to solve the given equation, the answer would be w = 4.

please help me with my math homework

Answers

Hi there!

[tex]\large\boxed{UV = 13}[/tex]

Since U and V are midpoints of the legs, then UV is the average of both WX and ZY.

Therefore:

(ZY + WX)/2 = UV

Substitute in the given expressions:

[(6x + 5) + (x + 7)]/2 = 8x - 3

Simplify by combining like terms:

(7x + 12)/2 = 8x - 3

Multiply both sides by 2:

7x + 12 = 16x - 6

Subtract 7x from both sides and add 6 to both sides:

18 = 9x

Divide both sides by 9:

18/9 = x

x = 2.

Plug in this value of x into the equation for UV:

8(2) - 3 = 16 - 3 = 13.

The sale price of $24 was 80 percent of the regular price.
What was the regular price?

Answers

$24 + 20%
=$28.8
This is the answer

I would really appreciate it if someone could answer this I will give a brainlist:)

Answers

Answer:

x = 10.2

Step-by-step explanation:

Formula:

a² + b² = c²

16² + b² = 19²

256 + b² = 361

b² = 361 - 256

b² = 105

b = 10.2

MY GO*D!!!!?!?!?! SOMEONE HELP?????
The Ratio of J ulian's age to cyn thia's age, to Adrian's age is: 8:5:2. If Adria n is 14 years old, what is the sum of the ages of the other two kids?

Answers

9514 1404 393

Answer:

  91

Step-by-step explanation:

You are planning to take a group of friends to the movies for your birthday. The local movie theater charges $12.99 per
person. When you check the company's website, you find that they also offer a special group rate. The group rate is only $8.99
per person, but also includes a $20 reservation fee in addition.
What is the minimum number of people that would need to attend your party in order for the group rate to be a better deal?
A
4 people
B)
5 people
Eliminate
6 people

Answers

6 people. With 4 people the first option ($12.99 per person) was cheaper, with 5 people they cost the same, so 6 people would be the minimum for the other to be cheapest

Help mee
simplify the expression 3(x - 6) + (4x + 12) - 6x

Answers

Answer:

x - 6.

Step-by-step explanation:

3(x-6) = 3x -18

3x -18 + 4x + 12 -6x = x - 6

The answer is x-6.Remove the Parentheses and distribute 3 through the Parentheses and put the + between Parentheses.Collect terms you will get x-18+12 and calculate the sum you will get the answer x-6.

Find the surface area of the
triangular prism.
5 cm
8 cm
7 cm
3 cm​

Answers

Answer:

The surface area of the triangular prism is = 94.641016151378 cm^2

Carl jumped 11 5/12 feet in the long jump. Ben jumped 9 7/8 feet. How much farther did Carl jump than Ben?

Answers

Answer:

Step-by-step explanation:

1  13/24

write an expression that is equivalent to -0.5(14a-22)

-0.5(14a-22) = _?_a+_?_

Answers

Answer: -7a+11
Explanation: distribute -0.5 to each term in the parentheses

Solve (x - 4)2 = 5.
help

Answers

Answer:

13/2

Step-by-step explanation:

2x-8=5

2x=5+8

2x=13

x=13/2

hope it helps

Find the Value of each power.

1. 12^0
2. 12^2
3. (2/7^3
4. 0.4^2
5.(4/9^1
6. 0.7^3

Answers

Answer:

1

144

8/343

0.16

4/9

0.343

I think of a number, subtract 5 and the result
is 9.​

Answers

Answer:

14 is the number subtracted by 5 to get to 9

Step-by-step explanation:

14-5=9

Claire flips a coin 6 times. What is the probability that the coin will show tails 3 times?
0.016
0.047
0.125
0.313

Answers

Answer:

d

Step-by-step explanation:

Answer
0.313
Explanation
Because if she flips it six times it’s left 3times it probably flipped to tails

7.5E-12= write the expression in scientific notation

Answers

Answer:

7,500,000,000,000 it think

Step-by-step explanation:

QUESTION 1
1.1
1.1.1 Wiite 2 368 000 in words
1.1.2
Round the following number 864 345,537
1.1.2.1 to the nearest thousand
1.1.2.2 to two decimal places​

Answers

1.) 2368000 (two million, three hundred sixty-eight thousand)
2.) 864,346,000 rounded to nearest thousand
3.) 864,345,537.00 not 100% on the last answer

Good luck

ALGEBRA Find the value of x in each figure.

HELP ASAP I WILL
MARK BRAINLIEST

Answers

Answer:

x=104°

Step-by-step explanation:

180=(x+4) +72

180-72=x+4

108=x+4

108-4=x

104=x

x=104°

Hope this helps! :)

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