Question

The probability that a randomly selected Floridian is a Florida native is 0.19 the probability that a randomly selective Florida is a register and opinion voter is 0.1 probability of a randomly selected Floridian is a Florida native and a registered independent voter is 0.09 calculate the following probability round solution to 3 decimal place

Answer 1

For the first part of this question, we need to find the conditional probability P( Florida native | Independent voter). This probability is given by the formula:

`P(A|B)=\frac{P\mleft(A_{\text{ }}and_{\text{ }}B\mright)}{P(B)}`

In this case, we have:

A: Florida native

B: Independent voter

P(A and B) = 0.09

P(B) = 0.1

Then:

`P\mleft(Florida_{\text{ }}native|Independent_{\text{ }}voter\mright)=(0.09)/(0.1)=0.9`

For the second part, we can use the same formula, except this time we have:

A: Independent voter

B: Florida native

P(A and B) = 0.09

P(B) = 0.19

Then:

`P(Independent_{\text{ }}voter|Florida_{\text{ }}native)=(0.09)/(0.19)\cong0.474`

Notice that this last result is an approximation, where we rounded the result to three decimal places.