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
ANSWER
EXPLANATION
The boundary line passes through (-2,2) and (0,-2).
The slope of this line is
The y-intercept is , c=-2.
The slope-intercept form of this line is given by;
We substitute values to obtain;
Since the lower half-plane is shaded the required inequality is
Answer: a= c+11
Step-by-step explanation:
a has 9 more than b which has 2less than c
The amount of water in the pool after t minutes is modeled by the linear function 
, hence it is a function of time.
A <em>linear function</em> for the amount of water in the pool, considering that it is <u>drained at a rate of a gallons per minute</u>, is modeled by:
- In which V(0) is the initial volume.
In this problem, draining her hot tub at a rate of <u>5.5 gallons per minute</u>, hence 
, and:
Which is a function of time.
To learn more about linear functions, you can take a look at brainly.com/question/13488309
Answer:
A
Step-by-step explanation:
6ft plus 1 3/4 is 7 3/4
Sorry for minimum explanation but I hope it helped!
