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
In which
- P(B|A) is the probability of event B happening, given that A happened.
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:

The probability of both having the flu and getting the shot is:

Hence, the conditional probability is:

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 brainly.com/question/14398287
1. 9/44
2. 1/3
3. 1/14
4. 4/45
5. 7/12
6. 14/55
7. 5/12
8. 2/9
9. 1/16
10. 7/6
11. 5/12
12. 4/5
13. 6/7
14. 7/12
15. 1
16. 3/2
17. 15/8
18. 4/7
Answer:
b) 2.00
Step-by-step explanation:
For each name, there are only two possible outcomes. Either it is authentic, or it is not. The probability of a name being authentic is independent of any other name. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

She randomly selects five names from the list for validation.
This means that 
40% of the names on the list are non-authentic
This means that 
The expected (average) value of x is

The correct answer is given by option B.
SOLUTION
The total number of females =

if 14 have an A in the class, the number of students without A is:

8 male students do not have an A, therefore the number of female students without an A is:

The probability that a student does not have an A given that the student is female can be calculated thus:

Answer:
Step-by-step explanation:
5/3 *2=10/6
10/6-6/6=4/6