Step-by-step explanation:
Given that,
a)
X ~ Bernoulli 
and Y ~ Bernoulli 
X + Y = Z
The possible value for Z are Z = 0 when X = 0 and Y = 0
and Z = 1 when X = 0 and Y = 1 or when X = 1 and Y = 0
If X and Y can not be both equal to 1 , then the probability mass function of the random variable Z takes on the value of 0 for any value of Z other than 0 and 1,
Therefore Z is a Bernoulli random variable
b)
If X and Y can not be both equal to 1
then,
or 
and 
c)
If both X = 1 and Y = 1 then Z = 2
The possible values of the random variable Z are 0, 1 and 2.
since a Bernoulli variable should be take on only values 0 and 1 the random variable Z does not have Bernoulli distribution
Was increased by 1 inch, the new measure of each side would be 4 inches.
Answer:
43 days
Step-by-step explanation:
264-12= 252
252/6=42
42+1=43
Let's list out what we already know:
Alexa's book is into 8 chapters
Rose's book is into 6 chapters
So since they are out of how many chapters, they number of chapters their books are split into will be the denominator of each fraction. Each girl has already read 3 chapters, so they'll have 3 as their numerator.
Alexa: 3/8
Rose:3/6
We can see that Rose is already at half of the book while Alexa's half would be 4/8, and she isn't there yet. So Rose read more of her book.
Answer:
y = (-1/2)x
Step-by-step explanation:
As we go from (-4, 2) to (6, -3), x (the "run") increases by 10 and y (the "rise") decreases by 5. Thus, the slope of the line connecting these two points is m = rise / run = m = -5/10, or m = -1/2.
We adapt the slope-intercept form as follows: y = mx + b becomes
2 = (-1/2)(-4) + b, or
2 = 2 + b. Therefore, b must be 0. The desired eequation is y = (-1/2)x.
