Group 1
2 answers:
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Answer:
C. unlikely
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A probability is said to be extremely likely if it is 95% or higher, and extremely unlikely if it is 5% or lower. A probabilty higher than 50% and lower than 95% is said to be likely, and higher than 5% and lower than 50% is said to be unlikely.
In this problem, we have that:
How likely is it that a single survey would return a mean of 30%?
We have to find the pvalue of Z when X = 0.30.
has a pvalue of 0.1587.
So the correct answer is:
C. unlikely
Using the Fundamental Counting Theorem, it is found that there are 648 ways to paint the spinner.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem, we have that the first sector can be painted in any of the 4 colors, the others until the 5th can be painted in 3 colors(not the adjacent), and the sixth in only 2, as it is adjacent to both the 5th and the 1st sectors, hence:
Hence the number of ways is given by:
N = 4 x 3 x 3 x 3 x 3 x 2 = 648.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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