A student council is made up of 4 women and 6 men. One of the women is president of the council. A member of the council is selected at random at random to report to the Dean of Student Life.
What is the probability a woman is selected?
What is the probability a man is selected?
What is the probability that the president of the student council is selected?
Pr(woman)=4/10
Pr(man)=6/10 or 1-Pr(woman)
Pr(president)=1/10
Five students were randomly selected from a large university. The ACT scores for these students were 23, 12, 27, 32, and 26. Find the standard deviation for this sample data set. Round your final answer to two decimals, but do not round any value except the final answer.
To calculate the probabilities, we need to know the total number of members in the council, which is given as 4 women and 6 men. The total number of members in the council is then 4 + 6 = 10.
1. Probability a woman is selected:
There are 4 women out of 10 members, so the probability of selecting a woman is 4/10 = 2/5.
2. Probability a man is selected:
There are 6 men out of 10 members, so the probability of selecting a man is 6/10 = 3/5.
3. Probability that the president of the student council is selected:
Since there is only one president, the probability of selecting the president is 1/10.
To find the probability of certain events happening, we need to know the total number of possible outcomes and the number of favorable outcomes.
In this case, there are 10 members on the student council – 4 women and 6 men. Here's how you can calculate the probabilities:
1. Probability of a woman being selected:
We have 4 women out of the total 10 council members. Therefore, there are 4 favorable outcomes (women selected) out of 10 possible outcomes (all council members). So, the probability of a woman being selected is 4/10, which can be simplified to 2/5 (or 0.4).
2. Probability of a man being selected:
Similarly, we have 6 men out of the total 10 council members. Therefore, there are 6 favorable outcomes (men selected) out of 10 possible outcomes (all council members). So, the probability of a man being selected is 6/10, which can be simplified to 3/5 (or 0.6).
3. Probability of the president of the student council being selected:
Since there is only one president on the student council, there is only 1 favorable outcome (president selected) out of 10 possible outcomes (all council members). So, the probability of the president of the student council being selected is 1/10.
So, to summarize:
- The probability of a woman being selected is 2/5 (or 0.4).
- The probability of a man being selected is 3/5 (or 0.6).
- The probability of the president of the student council being selected is 1/10.