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
ohaa [14]
3 years ago
11

n the 2010 World Cup, Paul the Octopus (in a German aquarium) became famous for being correct in all eight of the predictions it

made, including predicting Spain over Germany in a semi-final match. Before each game, two containers of food (mussels) were lowered into the octopus's tank. The containers were identical, except for country flags of the opposing teams, one on each container. Whichever container Paul opened was deemed his predicted winner.1 Does Paul have psychic powers? In other words, is an 8 for 8 record significantly better than just guessing?
Mathematics
1 answer:
sergey [27]3 years ago
3 0

Answer:

Guessing 8 games correctly is an unusual outcomes, significantly better than just guessing, which means tht Paul has psychic powers

Step-by-step explanation:

For each game, there are only two possible outcomes. Either Paul guesses the winner correctly, or he does not. The probability of guessing the winner of a game is independent of other games. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Outcomes that are more than 2.5 standard deviations from the mean are considered unusual.

Paul guesses one team out of two.

So p = 0.5

Eight games

So n = 8

1 Does Paul have psychic powers? In other words, is an 8 for 8 record significantly better than just guessing?

Let's find if 8 is an unusual outcomes.

E(X) = np = 8*0.5 = 4

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{8*0.5*0.5} = 1.41

Guessing 6 or more games correctly are unusual outcomes.

Guessing 8 games correctly is an unusual outcomes, significantly better than just guessing, which means tht Paul has psychic powers

You might be interested in
Why is this a parallelogram?
Aleks [24]

Answer:

b both pairs of opposite sides are parallel

7 0
3 years ago
Read 2 more answers
If h(x)=(fog)(x) and h(x) = sqrt x+5, find g(x) if f(x) = sqrtx+2
Katen [24]

Answer: The value of g(x) is x+3.

Step-by-step explanation:

Since we have given that

h(x)=f\circ g(x)

Here,

h(x)=\sqrt{x+5}\\\\and\\\\f(x)=\sqrt{x+2}

We need to find the value of g(x):

f(x)=\sqrt{x+2}\\\\f(g(x))=\sqrt{g(x)+2}\\\\h(x)=\sqrt{g(x)+2}\\\\\sqrt{x+5}=\sqrt{g(x)+2}\\\\x+5=g(x)+2\\\\g(x)=x+5-2=x+3

Hence, the value of g(x) is x+3.

3 0
3 years ago
At a local department store, jeans are typically priced at $15. Due to a special, the jeans are reduced to 80% of their original
vodomira [7]

Answer:the price of jeans now is $12

Step-by-step explanation:

Let x represent the current price of the jeans. At the local department store, jeans are typically priced at $15. It means that the original price of the jeans is $15 .

Due to a special, the jeans are reduced to 80% of their original price. This means that the original price was reduced by 20%. Therefore, the current price, x would be

x = 15 - (20/100 × 15) = 15 - 3

x = $12

6 0
3 years ago
Am I correct on number 3? If not whats the correct answer? And what is the answer for number 4? Will be marking brainliest!!​
timama [110]

Answer for number 4 is \frac{\bold2}{\bold3} hour.

Step-by-step explanation:

Maximum hour spent for all homework (English homework + math homework) is 2 hours.

Let us assume the hours spent for English homework be 'e'.

It is given that:

(Hours spent for math homework) = 2 × (Hours spent for English homework)

Hours spent for math homework = 2 × e = 2e

Total hours spent = (Hours spent for math homework) + (Hours spent for English homework)

Total hours spent = 2e + e = 3e

2 = 3e

3e = 2

∴ e = \frac{\bold2}{\bold3}

Therefore number of hours spent on English homework is equal to \frac{\bold2}{\bold3} hours.

8 0
3 years ago
Please help with this
babunello [35]

Answer: Circle lines

Step-by-step explanation:

Hopefully the attached image helps, it is a diagram of all the labeled lines on a circle excluding the radius (BG or GE)

6 0
2 years ago
Other questions:
  • Addison plays 1/2 of a song in 1/4 of a minute. How minutes will she need to play a full song?
    9·2 answers
  • Round 6.8079 to the nearest hundredth.
    12·2 answers
  • What is the answer ?
    13·1 answer
  • Ten less than the quotient of a number and 3 is 8​
    7·1 answer
  • The meteorologist recorded the amount of rainfall, in centimeters, at 10 different locations during 1 day and then arranged the
    6·2 answers
  • A certain fluid is not a liquid if its temperature above 140 C or below 0 C. Enter a compound inequality for the temperatura t w
    15·1 answer
  • If the measures of the angles of a triangle are represented by 2x,3x -15 and 7x +15 the triangle is
    10·1 answer
  • Find the volume of the sphere. Either enter an exact answer in terms of π πpi or use 3.14 3.143, point, 14 for π πpi and round y
    6·2 answers
  • I need help on this math
    14·1 answer
  • HELP WILL MARK YOU BRAINLIEST, PLS I NEED ASAP
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!