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
If this is the dance position you are describing, then the arm and the leg of the dancer both make "right" angles (90º angles) to the floor.
Answer is 152.68 simple subtraction problem
Step-by-step explanation:
2. since there are 15 shirt
the probability of her wearing a blue shirt is 5/15
the probability of her wearing a blue shirt is 4/15
Answer:
8
Step-by-step explanation:
4(2)+3(b-4(2))-2(2)=8