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Nonamiya [84]
3 years ago
6

Roll 1 Die 1000 times by pressing the "Roll 100 Sets" button ten times. Then do the same for Roll 3 Dice and Roll 12 Dice. Which

best describes the sampling distributions? All three sampling distributions appear to follow the normal distribution. From left to right, the sampling distributions begin normal but then become non-normal. From left to right, the sampling distributions begin non-normal but then become more normal. All three sampling distributions appear to follow non-normal distributions.
Mathematics
2 answers:
MAVERICK [17]3 years ago
8 0

Answer:

From left to right, the sampling distributions begin non-normal but then become more normal.

Step-by-step explanation:

If we refer back to our question, we are being told that:

Roll 1 Die 1000 times by pressing the "Roll 100 Sets" button ten times.

The same is done for Roll 3 Dice and Roll 12 Dice

i.e

Roll 3 Dice 1000 times by pressing the "Roll 100 Sets" button ten times.

Roll 12 Dice 1000 times by pressing the "Roll 100 Sets" button ten times.

From the knowledge of Central Limit Theorem (CLT), we understand that the sampling distribution of a given sample mean usually approaches a normal distribution  as the sample size gets larger.

Now, if we roll 1 Die 1000 times in which every sample has 100 observations.

If 3 Dice is rolled the same way; we have 3 × 100

If 12 Dice is rolled the same way; we have 12 × 100

This typically implies that the sample size gets increasing , thus the sampling distribution begins non-normal but then becomes more normal.

Rom4ik [11]3 years ago
6 0

Answer:

all three sampling distributions appear to follow the normal distribution

Step-by-step explanation:

Sampling distribtuions follow a normal distribution.

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if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?
Kay [80]

Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • There are 9 rolls, hence n = 9.
  • Of the six sides, 2 are 3 or 4, hence p = \frac{2}{6} = 0.3333

The desired probability is:

P(X \geq 2) = 1 - P(X < 2)

In which:

P(X < 2) = P(X = 0) + P(X = 1)

Then

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026

P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857

0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For more on the binomial distribution, you can check brainly.com/question/24863377

7 0
2 years ago
Evaluate (-12)(-2)^2​
xz_007 [3.2K]

(-12)(-2)^2 = -48.

Hope this helps,

Davinia.

6 0
3 years ago
Read 2 more answers
Which is the last operation performed when evaluating (8-2x)^2+4 for x=3
Salsk061 [2.6K]
Addition will be the last operation
6 0
3 years ago
Read 2 more answers
V=1/3(7 x 6)6<br> math equation just solve pls and thanks
seropon [69]

Answer:

V=84

Step-by-step explanation:

1. 7*6=42. make 42 a fraction by making it 42/1.

2. 1/3*42/1=42/3

3. make 6 a fraction by making it 6/1

4. 42/3*6/1=252/3

5. 252/3=84

6 0
3 years ago
Part A: Joel uses the incorrect expression 0.95(190)(0.8) to calculate that the computer will cost him a total of $144.40. Descr
UkoKoshka [18]

Complete question:

Joelwants to buy a new tablet computer from a store having a 20% off sale on all tablet. The tablet he wants has an original cost of $190. He also wants to make sure he has enough money to pay the 5% sales tax.

Answer:

$159.60

Step-by-step explanation:

Given the following :

Sales tax = 5%

Percentage discount = 20%

Original cost = $190

Joel's incorrect expression : 0.95(190)(0.8)

Joel's mistake is the 0.95 which is equivalent to 95% used in Calculating the total cost of the computer. The sales tax increases the total cost of the computer and instead of subtracting 5% sales tax, it should be added.

B.) 20% discount = 0.2 will be deducted from 100%(1)

1 - 0.2 = 0.8

5% sales tax = 0.05 will be added :

1 + 0.05 = 1.05

Original cost = $190

Therefore,

Total cost : Original cost * sales tax * discount

Total cost = $190 * 1.05 * 0.8

Total cost = $159.60

6 0
3 years ago
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