The sum of 3 consecutive integers is is 279. Find the integers
2 answers:
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To compute the mean, you simply have to sum all the elments in the data set and the divide the sum by the number of elements:
To compute the variance, we first need to compute the distance of each element from the mean. To do so, we build a "parallel" dataset, given by the difference of every value and the mean:
Now we need those difference squared:
The variance is the mean of this new vector, so
Finally, the standard deviation is simply the square root of the variance, so you have
Answer:
a) A ∪ B = {2, 4, 5, 6}
b) A ∩ B = {6}
c) = {1, 3, 5}
Step-by-step explanation:
Set notation is used in math to list numbers, objects or outcomes.
It uses <u>curly brackets</u> called "braces". Objects placed within the braces are the elements of the set.
The listing method of <u>set notation</u> simply lists the numbers in the set.
The three dots "..." means it is infinite (goes on forever).
Given:
- A number cube with faces labeled 1 to 6.
Therefore the set of all possible outcomes is {1, 2, 3, 4, 5, 6}.
<u>Event A</u>
The number rolled is <u>greater than 4</u>.
Therefore, the set of outcomes for event A is {5, 6}.
<u>Event B</u>
The number rolled is <u>even</u>.
Therefore, the set of outcomes for event B is {2, 4, 6}.
<u>Part (a)</u>
Event "A or B" means the outcomes in A or B or both.
⇒ A ∪ B = {2, 4, 5, 6}
<u>Part (b)</u>
Event "A and B" means the outcomes in both A and B.
⇒ A ∩ B = {6}
<u>Part (c)</u>
The complement of event B means everything that is not in B.
<em> </em>{1, 3, 5}
Learn more about set notation here: