Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.
The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution is used to solve this question.
<h3>What is the hypergeometric distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
In this problem:
- There is a total of 3 + 4 = 7 marbles, hence N = 7.
- Of those, 3 are blue, hence k = 3.
- 2 marbles will be taken, hence n = 2.
The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:
Hence:
0.4286 = 42.86% probability of getting 2 of the same colour.
You can learn more about the hypergeometric distribution at brainly.com/question/4818951
Based on the total of intervals vs the number of intervals Amy attended her CA percentage is 75%
<h3>What is the CA percentage?</h3>
The CA percentage measures the commitment of an employee to be logged in during the intervals that were assigned to him/her to work.
In this way, the CA percentage is equal to 100% if the employee worked as scheduled. Moreover, this percentage can be affected by factors such as:
- Technical issues.
- Human errors.
In the case of Amy, there is a total of 12 intervals and it is known:
- She had a technical issue that prevented her from working, but this was reported so it is unlikely this is considered in her CA.
- She missed three intervals because she looked at her schedule wrong.
Based on this information, let's calculate her CA:
- 12 intervals = 100%
- 9 intervals = x
- x = 9 x 100 / 12
- x = 900 / 12
- x = 75%
Learn more about percentage in: brainly.com/question/8011401
Answer: 64 cups
Step-by-step explanation:
Each gallon has 16 cups so you multiply 16 by 4 because there are 4 gallons and you get 64. Hope that helped. :)
In a circle, the internal vertical angles have a formula of
In this case, the formula would be:
We know that whole circle is 12x. And 12x is equal to 360°. When we put that into equation:
If x is 30°:
So, angle 7 is 90°.
answer for this question is 2/19
