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suter [353]
3 years ago
10

Marcus has a spinner with 3 sections, 2 blue sections , and 1 purple section. Match the event of landing on each color to the co

rrect probability
Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
8 0

Answer:

Blue: 2/3

Purple: 1/3

Step-by-step explanation:

You have a total of 3 possible sections.

For blue, we have 2 out of 3 sections.  The probability is 2/3.

For purple, we have 1 out of 3 sections.  The probability is 1/3.

Andrei [34K]3 years ago
8 0

Answer

66.66% blue 33.3% purple

Step-by-step explanation:

if marcus has three sections two of which are the same group then you take 100 and divide by 3 however since it cannot divide by 3 then the best possible answer is 99.9 so take this and dive it by 3 this gives 33.333333- now take that and multiply it by 2 since that would give it the same amount as two sections since the 33.33333- is 1/3 of the whole after multiplying it by 2 you get 66.66666- now this is 2/3 of the whole which represents the 2 blue sections and then subtracting the 99.99999- by the 66.666666- to find the 1/3 amount of 33.333333- which represents the purple

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99% confidence interval for the population average examination score is between a lower limit of 67.35 and an upper limit of 85.05. The correct option is C.

<h3>What is the margin of error in statistics?</h3>

The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.

The interval will be calculated as below:-

Confidence interval = mean +/- margin of error (E)

mean = 76.2

variance = 144

sd = sqrt(variance) = sqrt(144) = 12

n = 16

Degree of freedom (df) = n - 1 = 16- 1 = 15

Confidence level (C) = 99% = 0.99

Significance level = 1 - C = 1 - 0.99 = 0.01 = 1%

t-value corresponding to 15 df and 1% significance level is 2.95

The margin of error will be:-

E = t×sd/√n = 2.95 ×  12/√16 = 8.85

The interval will be:-

Lower limit = mean - E = 76.2 - 8.85 = 67.35

Upper limit = mean + E = 76.2 + 8.85 = 85.05

Therefore, the 99% confidence interval for the population average examination score is between a lower limit of 67.35 and an upper limit of 85.05. The correct option is C.

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