Question

Find the indicated probability. The age distribution of students at a community college is given below. Age (years) Number of students (f) 1109​ A student from the community college is selected at random. Find the probability that the student is at least 31. Round your answer to three decimal places.

Answer 1

0.063 is the probability of at least 31 students.

Explanation:

Solution:

Given:

The age distribution of students is given below:

Age (years) Number of students

Under 21 414

21 - 25 413

26 - 30 212

31 - 35 50

0ver 35 20

total 1109

A student from community college is selected at random.

The ratio of favorable outcomes numbers of that event is the probability of to the total number of possible outcomes in experiment.

Probability of at least 31 students:

Probability of At least 31 students = 31 or more than 31 students

P( 31 – 35) = n (31 – 35) + n (over 35) / n(T)

= 50 + 20 / 1109

= 70 / 1109

= 0.063

0.063 is the probability of at least 31 students.