Final answer:
The true probability that two randomly selected federal prison inmates will both not be U.S. citizens is 6.25%, which is approximately equal to the stated probability of 6.3%. Therefore, the statement is true.
Step-by-step explanation:
The question is asking to determine the probability that two randomly selected federal prison inmates are both not U.S. citizens, given that 25% of U.S. federal prison inmates are not U.S. citizens.
To find this probability, we must use the rules of probability for independent events. Since the selection of one inmate does not affect the selection of another, we can consider these events as independent.
The probability of the first inmate not being a U.S. citizen is 25%, or 0.25. The probability of the second inmate also not being a U.S. citizen is again 25%, or 0.25. Therefore, we multiply the two probabilities together:
Probability = 0.25 x 0.25 = 0.0625 or 6.25%
Thus, the statement that the probability is 6.3% is approximately true, as the actual calculated probability is 6.25%, which can be rounded to 6.3%. The correct option is A. True.