According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. You randomly select six peanut M&M’s from an extra-large bag of the candies. (Round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 0.1234444 or 12.34%.)

Compute the probability that exactly five of the six M&M’s are blue.



Compute the probability that four or five of the six M&M’s are blue.



Compute the probability that at most five of the six M&M’s are blue.



Compute the probability that at least five of the six M&M’s are blue.



If you repeatedly select random samples of six peanut M&M’s, on average how many do you expect to be blue? (Round your answer to two decimal places.)

blue M&M’s

With what standard deviation? (Round your answer to two decimal places.)

blue M&M’s

Answers

Answer 1

pls don't use this app this app is makes you spoiled


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A point is named by its ordered pair of the form of (x, y)

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2. Suppose that all possible n = 50 samples are selected from a population. How would the mean,
standard deviation, and shape of the resulting sampling distribution compare to a sampling
distribution based on all possible n= 100 samples?

Answers

Using the Central Limit Theorem, it is found that the mean and the shape would remain the same, while the standard deviation would be multiplied by the square root of 2.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

In this problem:

The sample size would remain above 30, hence the shape would still be normal.The mean does not depend on the sample size, hence it would remain constant.The standard deviation is inversely proportional to the square root of the sample size, then since the sample size would be divided by 2, the standard deviation would be multiplied by the square root of 2.

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Answer:

spinal cord that is located between the artery and capillary

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