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
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Answer:
B
Step-by-step explanation:
Whenever you are asked to find the number of square feet covered by something, you are finding an area. To find the area of Jason’s circle, you first need to figure out if you have been given the radius or the diameter. By definition, the diameter of a circle is the longest distance across the circle, so we know here that the diameter is 8 feet. This means that the radius is 4 feet. So...
A = π(4)2
= 16π
≈ 50.2 square feet
So, Jason’s circle will cover about 50.2 square feet of his wall (and B is the closest one to that)
Answer:
Step-by-step explanation:
Answer: $454.55
Step-by-step explanation:
Tito's weekly salary is always $ 500 per week.
But your weekly commission income depends on the sales you make. Your commissions are 55%.
If we call x the dollar amount of all sales made by Tito in a week, then his income z(x) is given by the following equation:
We wish that 
.
Then we equate the equation to 750 and solve for the variable x.
Total sales made by Tito must be $454.55
