Question
In: Statistics and Probability
A group of 12 male and 16 female students is talking about going out for pizza....
A group of 12 male and 16 female students is talking about going out for pizza. If 50% of the male students actually go and 25% of the female students actually go, find the probability that a random student who goes out for pizza is female. Write your answer as a fraction in lowest terms or as a proportion rounded to 3 decimal places.
Solutions
Expert Solution
Answer:
Based on the given information:
- Total number of male students = 12
- Total number of female students = 16
- Total number of students (male and female) = 12 + 16 = 28
- Percentage of male students that actually go = 50%
- Number of male students that actually go = 50%*12 = 6
- Percentage of female students that actually go = 25%
- Number of female students that actually go = 25%*16 = 4
- So total number of students that actually go out for pizza (male and female) = 6 + 4 = 10
- Probability that a random student who goes out for pizza is female =
- Total female that actually go / Total students that actually go = 4 / 10 = 0.400
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