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 ?

Respuesta :

Answer: The probability of Beth getting  selected is   [tex]\frac{79}{80}[/tex]

Step-by-step explanation:

Since we have given that

Probability of selecting Jim is given by

[tex]\frac{1}{80}[/tex]

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

As we know that ,

[tex]P(Jim)+P(Beth)=1[/tex]

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

[tex]P(Jim)+P(Beth)=1\\\\\frac{1}{80}+P(Beth)=1\\\\P(Beth)=1-\frac{1}{80}\\\\P(Beth)=\frac{80-1}{80}=\frac{79}{80}[/tex]

Hence, the probability of Beth getting selected is [tex]\frac{79}{80}[/tex]

Answer: 1/80

Step-by-step 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.