This year the CDC reported that 30% of adults received their flu shot. Of those adults who received their flu shot,
20% still got the flu. Of those who did not receive the flu shot, 65% got the flu.
Use the tree diagram to determine the probability that a person with the flu is a person who received a flu shot.
Enter your answer as a decimal to the ten thousandths place.
=> 0.1165
Answers
Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Person has the flu.Event B: Person got the flu shot.The percentages associated with getting the flu are:
20% of 30%(got the shot).65% of 70%(did not get the shot).Hence:
[tex]P(A) = 0.2(0.3) + 0.65(0.7) = 0.515[/tex]
The probability of both having the flu and getting the shot is:
[tex]P(A \cap B) = 0.2(0.3) = 0.06[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165[/tex]
0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.
To learn more about conditional probability, you can take a look at https://brainly.com/question/14398287
Answer:
flu shot
flu
no flu
.30
.20
Step-by-step explanation:
trust
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hi can you help me ?
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this will be the answer
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
x1=46 x2=69
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In math, "the difference between A and B" usually means ...
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__
"The difference between 3 and x" can be written as the expression ...
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FAM I NEED YOU HELP POR FAVOR:
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Answers
The mark-up (percent increase) of the price of the shoe from the manufacturing company to the store is 100%.
Given the following data:
Cost price = $75 Selling price = $150To determine the mark-up (percent increase) of the price of the shoe from the manufacturing company to the store:
First of all, we would determine the increase in price of this shoe:
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For mark-up (percent increase):
[tex]Mark\;up = \frac{Increase}{Cost\;price} \times 100\\\\Mark\;up = \frac{75}{75} \times 100[/tex]
Mark-up = 100%
Read more on mark-up here: https://brainly.com/question/25790940
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Answers
Answer:
No
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Step-by-step explanation:
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Step-by-step explanation:
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Took the test!
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Answer:
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Answer:
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Answers
Answer:
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Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
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i hope this helps
Answer:
-10x+ y=4
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100.73
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Help!! NO SPAM!!!! I will mark brainliest. A phone banking password consists of 2 letters followed by 4 digits. The letters B and X are not used, and the last digit cannot be 0. How many different passwords are possible?
Answers
In this exercise we have to use the combination knowledge to calculate the different possibilities, so we have to:
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in this way, when we deal with possibilities it is the same as talking about multiplication, so we have that:
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See more about possibilites at brainly.com/question/488013
The price of an item yesterday was $140 Today, the price rose to $322 Find the percentage increase.
Answers
Answer:
130% increase
Step-by-step explanation:
(322-140)/140(100)=130% increase.
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cross multiply, and you get 130%.
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Answers
Answer: The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently. In this example, the ordered pair (4,7) is the solution to the system of linear equations.
Picture: