6 soccer balls for $150
2 answers:
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Answer:
<u>0.9524</u>
Step-by-step explanation:
<em>Note enough information is given in this problem. I will do a similar problem like this. The problem is:</em>
<em>The Probability of a train arriving on time and leaving on time is 0.8.The probability of the same train arriving on time is 0.84. The probability of the same train leaving on time is 0.86.Given the train arrived on time, what is the probability it will leave on time?</em>
<em />
<u>Solution:</u>
This is conditional probability.
Given:
- Probability train arrive on time and leave on time = 0.8
- Probability train arrive on time = 0.84
- Probability train leave on time = 0.86
Now, according to conditional probability formula, we can write:
= P(arrive ∩ leave) / P(arrive)
Arrive ∩ leave means probability of arriving AND leaving on time, that is given as "0.8"
and
P(arrive) means probability arriving on time given as 0.84, so:
0.8/0.84 = <u>0.9524</u>
<u></u>
<u>This is the answer.</u>
Answer:
1. A Venn diagram is attached. The amount of people that have health insurance and is confident about the economy is 287.
2. The amount of people that have health insurance and is not confident about the economy is 116.
3. The amount of people that have health insurance or is confident about the economy is 437.
Step-by-step explanation:
1) Using sets theory, we know:
U: 500 people surveyed
A: people who is confident in the economy
B: people that have health insurance
A' and B': people who is not confident in the economy and don't have health insurance.
A=321
B=403
A' and B' =63
In the attached picture we can see a Venn diagram that represents the situation. In order to obtain the intersection of both sets A∩B, we calculate:
(321 - x) + (403 - x) + x + 63 = 500
321 - x + 403 - x + x + 63 +x -500 = 500 +x - 500
321 + 403 + 63 -500 = x
x= 287
2) The amount of people that have health insurance and is not confident about the economy is given by the intersection of the complement of set A and set B:
A' ∩ B can be calculated as:
B - (A ∩ B)= 403 - 287= 116
3) The amount of people that have health insurance or is confident about the economy is given by:
(A∪B) = (A) + (B) - (A ∩ B)
(A∪B) = 321 + 403 - 287= 437
