Company has 90 cars in stock with 4 cylinder engines and 290 with 6 cylinder engines. There are no other cars in stock. 130 of these cars, including 20 of those with 4 cylinder engines have air conditioning. One car on the lot is selected at random. The probability that this car has air conditioning, given that it has a 6 cylinder engine is?

Is it possible to solve this on a TI-83?

Yes, it is possible to solve this problem using a TI-83 calculator. To do so, you would use conditional probability calculations in the calculator's built-in statistical functions.

Here's how you can solve the problem using a TI-83 calculator:

Step 1: Enter the given information into the calculator:
- Number of cars with 4 cylinder engines: 90
- Number of cars with 6 cylinder engines: 290
- Number of cars with air conditioning: 130
- Number of cars with 4 cylinder engines and air conditioning: 20

Step 2: Calculate the probability of selecting a car with a 6 cylinder engine, given that it has air conditioning:
- Press the "2nd" button, followed by the "VARS" button, and select "3:Prob" to access the probability menu.
- Select "5:cond(", which stands for conditional probability.
- Enter the numerator of the conditional probability, which is the number of cars with 6 cylinder engines and air conditioning (130 - 20 = 110).
- Enter the denominator of the conditional probability, which is the number of cars with 6 cylinder engines (290).
- Press the "ENTER" button to calculate the conditional probability.

The resulting probability is the probability that a randomly selected car from the lot has air conditioning, given that it has a 6 cylinder engine.

Note: As this step involves specific calculator procedures, it is recommended to refer to your TI-83 calculator manual for detailed instructions on using the statistical functions.