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
Paladinen [302]
2 years ago
7

Suppose a game show called Bayesian Boxes has the contestant sample one marble from a box and guess what type of box it is. When

the contestant picks a box, the chance of each box type for this round is as follows:
Type A: 75%, Type B: 20%, and Type C: 5%
The chance of drawing a red marble from Type A is 2%, from Type B is 25%, and from Type C is 98%.
The contestant selects a box and draws a marble. What is the chance of drawing a red marble? (Give the exact decimal answer.)
If the contestant does draw a red marble, what is the chance it came from box Type C? (Give the decimal answer rounded to at least four places.)
Mathematics
1 answer:
kondor19780726 [428]2 years ago
7 0

Answer:

0.114

0.049

Step-by-step explanation:

For the boxes:

Type A - 75% = 0.75

Type B - 20% = 0.2

Type C - 5% = 0.05

For the marbles in each box:

Type A - 2% = 0.02

Type B - 20% = 0.25

Type C - 98% = 0.98

Then you can multiply the chance of drawing each box by the chance of drawing a red marble from that box and add all of those together:

0.75 * 0.02 + 0.2 * 0.25 + 0.05 * 0.98

= 0.015 + 0.05 + 0.049

= 0.114

The specific chance for box Type C is 0.05 * 0.98 = 0.049

You might be interested in
What is the inverse of this function?<br> [Will give Brainliest]
ira [324]

Answer:

the inverse of a function is the exact opposite

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
4. Jonathan takes his dog to be groomed. The fee to groom the dog is $80 plus 6.75% tax.
frutty [35]

Step-by-step explanation:

Tax charge

80 × 6.75/100 = 5.4

Cost + tax charge

80 + 5.4 = 85.4

Tip (15% of cost and tax)

85.4 × 15/100 = 12.81

(Cost + tax charge + tip)

85.40 + 12.81 = 98.21

therefore, $95 is not enough.

3 0
3 years ago
What is the answer to the question
LenKa [72]
2x = 18
--------------------
 x = 18 : 2 =
x = 9
-------------------
(2*9 : 3) + 1 = 7
6 + 1 = 7
5 0
3 years ago
I forgot the question
FrozenT [24]
I feel like I’m seeing the same question a lot
6 0
2 years ago
A candy box is made from a piece of cardboard that measures 23 by 13 inches. Squares of equal size will be cut out of each corne
wolverine [178]

Answer:

2.67 inches.

Step-by-step explanation:

Assuming that we represent the size of the squares with the letter y, such that after the squares are being cut from each corner, the rectangular length of the box that is formed can now be ( 23 - 2y), the width to be (13 - 2y) and the height be (x).

The formula for a rectangular box = L × B × W

= (23 -2y)(13-2y) (y)

= (299 - 46y - 26y + 4y²)y

= 299y - 72y² + 4y³

Now for the maximum volume:

dV/dy = 0

This implies that:

299y - 72y² + 4y³ = 299 - 144y + 12y² = 0

By using the quadratic formula; we have :

= \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}

where;

a = 12; b = -144 and c = 299

= \dfrac{-(-144) \pm \sqrt{(-144)^2 -4(12)(299)}}{2(12)}

= \dfrac{144 \pm \sqrt{20736 -14352}}{24}

= \dfrac{144 \pm \sqrt{6384}}{24}

= \dfrac{144 \pm79.90}{24}

= \dfrac{144 + 79.90}{24} \ \  OR  \ \   \dfrac{144 - 79.90}{24}

= 9.33 \ \  OR  \ \ 2.67

Since the width is 13 inches., it can't be possible for the size of the square to be cut to be 9.33

Thus, the size of the square to be cut out from each corner to obtain the maximum volume is 2.67 inches.

3 0
2 years ago
Other questions:
  • The product of 8 and b is less than or equal to 13
    11·1 answer
  • What is the square route of sixteen
    6·2 answers
  • Which statements are true about a triangular pyramid? Check all that apply. It has exactly two faces that are triangles. It has
    9·2 answers
  • If f(x) = x3 – 2x2, which expression is equivalent to f(i)?
    14·1 answer
  • Simplify -5(3m2 + 7n2) + 8n2
    11·2 answers
  • What is the surface area of a sphere with a radius of 30m?
    15·1 answer
  • 3x-5y=13<br> x-2y=5<br> with solution by elimination.
    10·1 answer
  • I’ll give brainliest!
    14·1 answer
  • What is the difference between solving inequalities from equations
    8·1 answer
  • Need Help!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!