Question

If I randomly select an individual from this population, what is the probability of the following events. Show both the fraction from the table values and the relative frequency rounded to 3 decimal places.

A) Of getting a female

B) Of getting an Independent

C) Of getting an "other" or none

D) Of getting a Democrat or male

E) Of getting a Republican and male

F) Of getting a Republican given that the individual is female

Are the two events none and female independent?

Answer 1

To find the probabilities of the given events, we can use the information provided in the example. However, the example does not provide all the necessary information to calculate the probabilities for events B, C, D, E, and F. Without this information, it is not possible to determine these probabilities or whether the events 'none' and 'female' are independent.

Step-by-step explanation:

To find the probabilities of the given events, we can use the information provided in the example.

A) The probability of getting a female is given by P(F). In the example, P(F) is 0.60, so the probability of getting a female is 0.60.

B) The probability of getting an independent (assuming it refers to political affiliation) is not given in the example, so we cannot determine this probability.

C) The probability of getting an 'other' or none is not given in the example, so we cannot determine this probability.

D) The probability of getting a Democrat or male is given by P(D ∪ M) or P(D) + P(M) - P(D ∩ M). The example does not provide the values for these probabilities.

E) The probability of getting a Republican and male is not given in the example, so we cannot determine this probability.

F) The probability of getting a Republican given that the individual is female is given by P(R|F) or P(R ∩ F) / P(F). The example does not provide the values for these probabilities.

We cannot determine whether the events 'none' and 'female' are independent without more information.