Arrange the given information in a table. Calculate relative frequencies for each age interval.
Students' Ages
Age Intervals
less than 18
between 18 and 22
between 23 and 27
between 28 and 32
more than 32
Frequency
26
395
253
139
187
Probability
13/500
79/200
253/1000
139/1000
187/1000
Practice makes perfect
We are given data representing the age of students in a college, and want to find the probability distribution for this data. Let's start with organizing the given information in a table. Each column of the table will consider an age interval. In the first row we will have the age interval, and in the second we will have the number of students from the interval, which we will mark as Frequency.
Students' Ages
Age Intervals
less than 18
between 18 and 22
between 23 and 27
between 28 and 32
more than 32
Frequency
26
395
253
139
187
To find the probability distribution for this data we need to find the relative frequencies for each age interval representing the probability of picking a student from the particular interval. If we pick a student they must be from one of the intervals so the intervals cover all possible outcomes. First, we will find the total number of students in the college.
Total: 26+395+253+139+187= 1000
The total number of students is 1000, so to calculate each probability we need to divide the number of students from the particular age interval by the total number of students, 1000. Let's do it!
Students' Ages
Age Intervals
less than 18
between 18 and 22
between 23 and 27
between 28 and 32
more than 32
Frequency
26
395
253
139
187
Probability
26/1000=13/500
395/1000=79/200
253/1000
139/1000
187/1000
The obtained table represents the probability distribution for the given data.
