Question

a teacher is told he will have 20 students in his first - period class this year. he wants to predict the birthday month of his students, so he decides to run a simulation where january = 1, february = 2, etc. use the simulated results to estimate the probability that a randomly picked student will have a september birthday.
9 6 5 8 9 2 4 10 9 7 2 10 12 6 9 2 9 11 1 3
(1 point)
0.083
0.750
0.450
0.250

Explanation:

Step1: Count the number of September birthdays

September is represented by \(9\). Count the number of \(9\)s in the data set \(9\ 6\ 5\ 8\ 9\ 2\ 4\ 10\ 9\ 7\ 2\ 10\ 12\ 6\ 9\ 2\ 9\ 11\ 1\ 3\). There are \(5\) occurrences of \(9\).

Step2: Calculate the probability

The formula for probability is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (students with September birthday) \(n = 5\), and the total number of outcomes (total number of students) \(N=20\). So \(P=\frac{5}{20}\).
Simplify \(\frac{5}{20}=\frac{1}{4}=0.25\)

Answer:

\(0.250\)