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slamgirl [31]
3 years ago
7

Three coins are placed in a bag. Each coin is labeled "1", "2", or "3". A coin is drawn from the bag, recorded, and then placed

back in the bag. Estimate the probability that the coin labeled "1" will be drawn next. 3 3 2 2 1 1 3 3 2 2
Mathematics
1 answer:
Tpy6a [65]3 years ago
7 0

Answer:

1/3 or 33.33%

Step-by-step explanation:

Each draw is an independent event, and it doesn't happen what happened before, since the coin is placed back in the bag, recreating the same scenario.

There are 3 coins in the bag... so drawing out the coin labeled '1' is one possibility out of three possible outcomes.

1/3 or 33.33%

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Consider a sampling distribution with p equals 0.15p=0.15 and samples of size n each. Using the appropriate​ formulas, find the
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Answer:

a.\  \mu_p=750\ \ , \sigma_p=0.005\\\\b.\  \mu_p=150\ \ , \sigma_p=0.0113\\\\c.\  \mu_p=75\ \ , \sigma_p=0.0160

Step-by-step explanation:

a. Given p=0.15.

-The mean of a sampling proportion  of n=5000 is calculated as:

\mu_p=np\\\\=0.15\times 5000\\\\=750

-The standard deviation is calculated using the formula:

\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\=\sqrt{\frac{0.15(1-0.15)}{5000}}\\\\=0.0050

Hence, the sample mean is μ=750 and standard deviation is σ=0.0050

b. Given that p=0.15 and n=1000

#The mean of a sampling proportion  of n=1000 is calculated as:

\mu_p=np\\\\=1000\times 0.15\\\\\\=150

#-The standard deviation is calculated as follows:

\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\\\=\sqrt{\frac{0.15\times 0.85}{1000}}\\\\\\=0.0113

Hence, the sample mean is μ=150 and standard deviation is σ=0.0113

c. For p=0.15 and n=500

#The mean is calculated as follows:

\mu_p=np\\\\\\=0.15\times 500\\\\=75

#The standard deviation of the sample proportion is calculated as:

\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\\\=\sqrt{\frac{0.15\times 0.85}{500}}\\\\\\=0.0160

Hence, the sample mean is μ=75 and standard deviation is σ=0.0160

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3 years ago
Help ASAP! Picture above easy 6th grade math
Lena [83]

Answer:

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Step-by-step explanation:

Hope it helps :3

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Answer:

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Step-by-step explanation:

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Delicious77 [7]
I got 27.5 for the mean
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