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Answer :
To find the probability that a randomly chosen male resident from the surveyed group has had a flu shot, given that he is male, we'll follow these steps:
1. Identify the total number of male residents.
- According to the table, the total number of male residents is 51.
2. Identify the number of males who had a flu shot.
- The table shows that 39 male residents received a flu shot.
3. Calculate the probability.
- The probability is calculated by dividing the number of males who had the flu shot by the total number of male residents. So, the probability is:
[tex]\[
\text{Probability} = \frac{\text{Number of males who had a flu shot}}{\text{Total number of male residents}} = \frac{39}{51}
\][/tex]
4. Simplify the fraction.
- The fraction [tex]\(\frac{39}{51}\)[/tex] can be simplified to the decimal value approximately equal to 0.7647.
Thus, the probability that a dormitory resident chosen at random, who is male, has had a flu shot is approximately 0.7647.
1. Identify the total number of male residents.
- According to the table, the total number of male residents is 51.
2. Identify the number of males who had a flu shot.
- The table shows that 39 male residents received a flu shot.
3. Calculate the probability.
- The probability is calculated by dividing the number of males who had the flu shot by the total number of male residents. So, the probability is:
[tex]\[
\text{Probability} = \frac{\text{Number of males who had a flu shot}}{\text{Total number of male residents}} = \frac{39}{51}
\][/tex]
4. Simplify the fraction.
- The fraction [tex]\(\frac{39}{51}\)[/tex] can be simplified to the decimal value approximately equal to 0.7647.
Thus, the probability that a dormitory resident chosen at random, who is male, has had a flu shot is approximately 0.7647.
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