Using it's concept, it is found that there is a 
probability that the first card is a club and the second one is black.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem:
- In a deck, there are 52 cards, of which 13 are clubs, hence
.
- Then, of the remaining 51 cards, 26 are black, hence
.
Then:
probability that the first card is a club and the second one is black.
More can be learned about the probability concept at brainly.com/question/15536019
Answer:
Step-by-step explanation:
x-5/2=-6
2(x-5)=-6x2
2x-10=-12
2x=-12+10
2x=-2
X=-1
Using the <em>normal distribution and the central limit theorem</em>, it is found that the power of the test is of 0.9992 = 99.92%.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It 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, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
In this problem:
- The mean is
.
- The standard deviation is
.
- A sample of 30 is taken, hence
.
The power of the test is given by the probability of a sample mean above 8, which is <u>1 subtracted by the p-value of Z when X = 8</u>, so:
By the Central Limit Theorem:
has a p-value of 0.0008.
1 - 0.0008 = 0.9992.
The power of the test is of 0.9992 = 99.92%.
To learn more about the <em>normal distribution and the central limit theorem</em>, you can check brainly.com/question/24663213
the answer for this question is (C)3
