Answer:
A) P(A⋂B) = 0.35
B) P(A⋃B)= 0.53
C) P(A⋂B′) = 0.08
D) P(A|B) = 0.778
Step-by-step explanation:
We know the following from the question:
- Let Proportion of Americans who expect to save more money next year than they saved last year be
P(A) and its = 0.43
-Let proportion who plan to reduce debt next year be P(B) and it's =0.81
A) probability that this person expects to save more money next year and plans to reduce debt next year which is; P(A⋂B) = 0.43 x 0.81 = 0.348 approximately 0.35
B) probability that this person expects to save more money next year or plans to reduce debt next year which is;
P(A⋃B)= P(A) + P(B) − P(A⋂B)
So, P(A⋃B)= 0.43 + 0.45 − 0.35 = 0.53
C). Probability that this person expects to save more money next year and does not plan to reduce debt next year which is;
P(A⋂B′) = P(A) − P(A⋂B)
P(A⋂B′) =0.43 − 0.35 = 0.08
D) Probability that this person does not expect to save more money given that he/she does plan to reduce debt next year which is;
P(A|B) = [P(A⋂B)] / P(B)
So P(A|B) =0.35/0.45 = 0.778
Answer:
ok, so 46 times 4 is 184.
Step-by-step explanation:
46
x 4
-------
184
So 6 times 4 is 24 and then you carry over the 2. 4 times 4 is 16. You add 2 to 16 and you get 18. So the total would be 184.
It's kinda hard to explain over brainly
Answer:
The given expression 
on multiplying is 
Step-by-step explanation:
Consider the given two expressions 
and 
We have multiply both expressions,
To multiply two terms first multiply constant numbers that is 6 × 2 = 12
For x , y and z apply property of exponent,
Then power of x together will be,
Similarly for y powers,
Since first term do not have any expression for z so it will remain same.
Thus, the given expression on multiplying become,
is
