Name: 3.2 /12 T/F and fix it if it's false. 1. If two events are independent, P(BIA) = P(B) 2. If events A and B are dependent, then P(A and B) = P(A) - P(B) Decide whether the events are independent or dependent 3. Selecting a king from a standard deck, replacing it, and then selecting a queen from the deck. 4. A numbered ball between 1 and 52 is selected from a bin, not replaced, and then a second numbered ball is selected from the bin. 5. According to researchers, diabetes is rare in societies in which obesity is rare. In societies in which obesity has been common for at least 20 years, diabetes is also common. In the general population, one woman in eight will develop breast 3"\" cm" and m" "RCA Gm\" cancer. Research has shown that 1 woman in 600 carries a mutation of the BRCA gene. Eight out of 10 women with this mutation develop breast cancer. develop breast cancer Women who a) Find the probability that a randomly selected woman will develop breast cancer given that she has a mutation of the BRCA gene. b) Find the probability that a randomly selected woman will carry the mutation of the BRCA gene and will develop breast cancer. o) Are the events of carrying this mutation and developing breast cancer independent or dependent? What Do You Drive? In a survey, 510 adults were asked if they drive a pickup truck and if Mum hum\" they drive a Ford. The results showed that one in six adults surveyed drives a pickup truck, and three in ten adults surveyed drives a Ford. 0f the adults surveyed that drive Fords, two in nine drive a pickup truck. a) Find the probability that a randomly selected adult drives a pickup truck given that he or she drives a Ford. b) Find the probability that a randomly selected adult drives a Ford and drives a pickup truck