Question

A population consists of 200 elements. we want to draw a simple random sample of 40 elements from this population. on the first selection, the probability of an element being selected is

Answer 1

The probability of an element being selected on the first selection of a simple random sample is 0.2.

Step-by-step explanation:

The probability of an element being selected on the first selection of a simple random sample can be calculated by dividing the size of the sample (40) by the size of the population (200).

In this case, the probability is 40/200 = 0.2.

Answer 2

The way to calculate probability is

Probability (event) = number of outcome favorable to event / total number of possible outcome

So we substitute the numbers in
P (an element selected) = 40/200
Now simplify the fraction.
Answer = 1/5