What is the probability for a:
a. Randomly selected person being a male in grade E?
b. Randomly selected male being in grade E?
c. Why are the results different?
Lacking data.
To calculate the probabilities, we need to know the total number of people in each category and the number of people that fit the specific criteria. Without that information, it is not possible to provide an exact probability. However, I can explain how you can find the probabilities if you have the necessary data.
a. To find the probability of a randomly selected person being a male in grade E, you would need to know the total number of males in grade E and the total number of people in the entire population. You can then divide the number of males in grade E by the total population.
Probability = (Number of males in grade E) / (Total population)
b. To find the probability of a randomly selected male being in grade E, you would need to know the total number of males and the total number of people in grade E. You can then divide the number of males in grade E by the total number of males.
Probability = (Number of males in grade E) / (Total number of males)
c. The results for part (a) and part (b) are different because they are asking for probabilities in different contexts. Part (a) is asking for the probability of a randomly selected person from the entire population being a male in grade E. Part (b) is asking for the probability of a randomly selected male from the population being in grade E.
The results differ because in part (a), you are considering the entire population, which includes both males and females. In part (b), you are considering only males. Therefore, the probability of being in grade E will be higher when considering only males than when considering the entire population.