Explanation:
Marginal distribution: This distribution gives the probability for each possible value of the Random variable ignoring other random variables. Basically, the values of other variables is not considered in the marginal distribution, they can be any value possible. For example, if you have two variables X and Y, the probability of X being equal to a value, lets say, 4, contemplates every possible scenario where X is equal to 4, independently of the value Y has taken. If you want the probability of a dice being a multiple of 3, you are interested that the dice is either 3 or 6, but you dont care if the dice is even or odd.
Conditional distribution: This distribution contrasts from the previous one in the sense that we are restricting the universe of events to specific condition for other variable, making a modification of our marginal results. If we know that throwing a dice will give us a result higher than 2, then to in order to calculate the probability of the dice being a multiple of 3 using that condition, we have two favourable cases (3 and 6) from 4 total possible results (3,4,5 and 6) discarding the impossible values (1 and 2) from this universe since they dont match the condition given (note that the restrictions given can also reduce the total of favourable cases).
The joint distribution calculates the probabilities for two different events (related to two different random variables) occuring simultaneously. If we want to calculate the joint probability of a dice being multiple of 3 and greater than 2 at the same time, our possible cases in this case are 3 and 6 from 6 possible results. We are not discarding 1 or 2 as possible results because we are not assuming, that the dice is greater than 2, that is another condition that we should met in the combination of events.
Answer:
750 total people
Step-by-step explanation:
25 to 50 = 1/2
So: 250 x 2 = 500 men
500 + 250 = 750 total
The Correct Answer Is f(x)=2.5x+5
Answer:
The expression that represents hourly rate Brendan earns working on a holiday is 
.
Step-by-step explanation:
Given:
Regular hourly rate = d
Percent extra Money earned on holidays = 25% more
We need to find expression represent the hourly rate Brendan earns working on a holiday.
Solution:
Extra money earned on holidays can be calculated by Percent extra Money earned on holidays multiplied by Regular hourly rate.
framing in equation form we get;
Extra money earned on holidays = 
Now we will find hourly rate Brendan earns working on a holiday.
hourly rate Brendan earns working on a holiday can be calculated by sum of Regular hourly rate plus Extra money earned on holidays.
framing in equation form we get;
hourly rate Brendan earns working on a holiday = 
Hence The expression that represents hourly rate Brendan earns working on a holiday is .
