Question

13. At an assembly 7 out of the first 10 students who enteredthe gym were carrying a backpack. Based on this information, if700 students were at the assembly, how many students couldbe expected to be carrying a backpack?You could expectstudents to be carrying backpacks.

Answer 1

We will use the probability formula to solve this question

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.

In the first sentence, we were told that 7 out of the first 10 students who entered the gym carried backpacks.

In this case, to find the probability of those who carried bags

The total outcome=10

The number of outcomes= 7

Therefore, the probability is

`\frac{\text{The number of outcomes}}{\text{The total outcome}}=(7)/(10)=0.7`

Then to find the expected number of students who will carry backpacks in a sample of 700 students.

we will use the formula

`\text{Expected}=\text{probability }* sample\text{ space}`

Expected=0.7 x 700

Expected = 490

Hence, if 700 students were at the assembly, 490 students will be expected to carry backpacks