Answer:
a) 3/64 = 0.046 (4.6%)
b) 63/64 = 0.9843 (98.43%)
c) 1/64 = 0.015 (1.5%)
d) 1/4 = 0.25 (25%)
Step-by-step explanation:
in order to verify that the f(x) is a probability mass function , then it should comply the requirement that the sum of probabilities over the entire space of x is equal to 1. Then
∑f(x)*Δx = 1
if f(x)=(3/4)(1/4)^x , x = 0, 1, 2, ...
then Δx=1 and
∑f(x) = (3/4)∑(1/4)^x = (3/4)* [ 1/(1-1/4)] = (3/4)*(4/3) = 1
then f represents a probability mass function
a) P(X = 2)= f(x=2) = (3/4)(1/4)^2 = 3/64 = 0.046 (4.6%)
b) P(X ≤ 2) = ∑f(x) = f(x=0)+ f(x=1) + f(x=2) = (3/4) + (3/4)(1/4) + 3/64 = 63/64 = 0.9843 (98.43%)
c) P(X > 2)= 1- P(X ≤ 2) = 1 - 63/64 = 1/64 = 0.015 (1.5%)
d) P(X ≥ 1) = 1 - P(X < 1) = 1 - f(x=0) = 1- 3/4 = 1/4 = 0.25 (25%)
Answer:
6 weeks 27kilo
12 weeks 54 kilo
Step-by-step explanation:
4.5*12=54
4.5*6=27
Excuse me,what do you mean by quadrant
Answer:
Option B is the correct choice.
Step-by-step explanation:
The graph is attached below.
We have to find the
intercept meaning the value of the point on
when 
So we will put the value of zero
instead of
in our given equation.
So here we have solved it algebraically.

Putting 


Multiplying
both sides.

Adding
both sides.

Dividing with
both sides.

So the x-intercept of the given equation is
which can be written as
in terms of coordinates.
Option B
is the correct choice.
=48
Multiply by 1
Add 1 1 11 11
to both sides of the equation