Using the normal distribution, it is found that 44.43% of students are 21 or older and thus old enough to legally order alcohol at Griff's.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
![\mu = 20.66, \sigma = 2.4](https://tex.z-dn.net/?f=%5Cmu%20%3D%2020.66%2C%20%5Csigma%20%3D%202.4)
The proportion of students that are 21 or older is <u>one subtracted by the p-value of Z when X = 21</u>, hence:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{21 - 20.66}{2.4}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B21%20-%2020.66%7D%7B2.4%7D)
Z = 0.14
Z = 0.14 has a p-value of 0.5557.
1 - 0.5557 = 0.4443 = 44.43% of students are 21 or older and thus old enough to legally order alcohol at Griff's.
More can be learned about the normal distribution at brainly.com/question/4079902
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Question:
13 + b > 34
<em>Step 1: Keep variable on one side, and subtract 13 on both sides.</em>
b > 21
<em>Step 2: Now that you have the value of b, create a number line that includes the number "21"</em>
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<em>Step 3: Since it is not "or equal too" we will use an open dot, since we do not contain that point. Put dot over 21. </em>
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<em>Step 4: The sign is ( > ) meaning greater than. Therefore all points greater than 21 is </em><em>true</em><em>. See graph. </em>
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Alright well if you pulled out a blue marble on the second go then you can make the connection that you had originally pulled out a black marble on the first go.
so the probability of pulling out a blue marble on the second go is 13/52
"13" is the original number of blue marbles added after selecting the black marble
"52" is me simply add up all the marble in the bag..the 14 red marbles, 26 black marbles minus the 1 pulled out and not replaced so now its 25 and the 13 blue marbles added last.<span />
Answer:
The question 3 is the second
Step-by-step explanation: