Question

Use the relative frequency approach to estimate the probability of the event. In a certain class of students, there are 8 boys from Wilmette, 5 girls from Kenilworth, 9 girls from Wilmette, 5 boys from Glencoe, 5 boys from Kenilworth and 7 girls from Glenoce. If the teacher calls upon a student to answer a question, what is the probability that the student will be from Kenilworth?

Answer 1

Answer:

$P\text{Student will be from Kenilworth}\approx 0.256$

Step-by-step explanation:

We have been given that that there are 8 boys from Wilmette, 5 girls from Kenilworth, 9 girls from Wilmette, 5 boys from Glencoe, 5 boys from Kenilworth and 7 girls from Glenoce.

The total number of students from Kenilworth is 5 boys plus 5 girls that is 10 students.

The total number of students in the class would be $8+5+9+5+5+7=39$

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$

$P\text{Student will be from Kenilworth}=\frac{\text{Number of student from Kenilworth}}{\text{Total number of students}}$

$P\text{Student will be from Kenilworth}=\frac{10}{39}$

$P\text{Student will be from Kenilworth}=0.2564102564$

$P\text{Student will be from Kenilworth}\approx 0.256$

Therefore, the probability, that the student will be from Kenilworth, is approximately 0.256.