A student from the community college is selected at random. Find the probability that the student is between 26 and 35 inclusive. Round approximations to three decimal places

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Question:

The age distribution of students at a community college is given below:

Number of students under 21: 416

Number of students 21-25: 402

Number of students 26-30: 210

Number of students 31-35: 55

Number of students over 35: 24

Total number of students: 1107

A student from the community college is selected at random. Find the probability that the student is between 26 and 35 inclusive. Round approximations to three decimal places.

Answer:

Probability of age 26-35 = 0.239 or 23.9 %

Step-by-step explanation:

The no. of students in the age 26-35 = no. of students of age 26-30 + no. of students of age 31-35

The no. of students in the age 26-35 = 210 + 55

The no. of students in the age 26-35 = 265

Total no. of students: 1107

Probability of age 26-35 = The no. of students in the age 26-35 / Total no. of students

Probability of age 26-35 = 265/1107

Probability of age 26-35 = 0.239

Probability of age 26-35 = 23.9 %