Question

Jim and Beth are both members of a population, and a simple random sample is being conducted. If the chance of him being selected is 1/80, what is the chance of Beth being selected ?

Answer 1

Answer: The probability of Beth getting selected is
`(79)/(80)`

Explanation:

Since we have given that

Probability of selecting Jim is given by

`(1)/(80)`

According to question, Jim and Beth are both member of a population.

As we know that ,

`P(Jim)+P(Beth)=1`

So, using this , we get chances of Beth being selected:

`P(Jim)+P(Beth)=1\\\\(1)/(80)+P(Beth)=1\\\\P(Beth)=1-(1)/(80)\\\\P(Beth)=(80-1)/(80)=(79)/(80)`

Hence, the probability of Beth getting selected is
`(79)/(80)`

Answer 2

Answer: 1/80

Explanation:

In statistics, a simple random sample is a sample which is a subset of the population the researcher surveyed chosen in a way such that all the individuals in the population has an equal chance to be selected. .

Given: Jim and Beth are both members of a population, and a simple random sample is being conducted.

Then both has equal chances of getting selected.

Thus if the chance of him being selected is 1/80, then the chance of Beth being selected will also be 1/80.