Two Options an Automobile Buyer May Purchase Are Air-Conditioning $(C)$ And an Automatic Transmission

Essay

Two options an automobile buyer may purchase are air-conditioning $(C)$ and an automatic transmission $(T)$ . A dealer notes from his sales records that the probability of a buyer purchasing an automatic transmission is 0.60 and the probability that he purchased air-conditioning is 0.50 . The probability that the buyer bought air-conditioning if he bought an automatic transmission is 0.70 .
-In the situation above, determine, using an appropriate formula, whether the events $C$ and $T$ are independent.