We appreciate your visit to The director of health services is concerned about a possible flu outbreak at her college She surveyed 100 randomly selected residents from the college s. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
We start with the information from the table. There are $51$ male residents in total, and out of these, $39$ received a flu shot.
The conditional probability that a resident has had a flu shot given that he is male is calculated using the formula
$$
P(\text{Flu Shot} \mid \text{Male}) = \frac{\text{Number of males who had a flu shot}}{\text{Total number of male residents}}.
$$
Substituting the given values, we have
$$
P(\text{Flu Shot} \mid \text{Male}) = \frac{39}{51}.
$$
To simplify the fraction, we divide both the numerator and the denominator by their greatest common divisor, which is $3$:
$$
\frac{39 \div 3}{51 \div 3} = \frac{13}{17}.
$$
Thus, the probability that a dormitory resident chosen at random has had a flu shot given that he is male is
$$
\boxed{\frac{13}{17}}.
$$
The conditional probability that a resident has had a flu shot given that he is male is calculated using the formula
$$
P(\text{Flu Shot} \mid \text{Male}) = \frac{\text{Number of males who had a flu shot}}{\text{Total number of male residents}}.
$$
Substituting the given values, we have
$$
P(\text{Flu Shot} \mid \text{Male}) = \frac{39}{51}.
$$
To simplify the fraction, we divide both the numerator and the denominator by their greatest common divisor, which is $3$:
$$
\frac{39 \div 3}{51 \div 3} = \frac{13}{17}.
$$
Thus, the probability that a dormitory resident chosen at random has had a flu shot given that he is male is
$$
\boxed{\frac{13}{17}}.
$$
Thanks for taking the time to read The director of health services is concerned about a possible flu outbreak at her college She surveyed 100 randomly selected residents from the college s. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
