How would I plug the following formula in a TI-30X calculator:
P(5)= (10 C 5)(0.20^5)[0.80^(10-5)]
When I try to do it, I get 0.000104858, but that is not the correct answer.
To plug the given formula in a TI-30X calculator, follow these steps:
Step 1: Calculate the combination, nCr
- Press the "10", then the "2nd" button, followed by the "nCr" button (which represents combination)
- Enter "5", then press the "=" button
- Note down the result of nCr(10,5)
Step 2: Calculate the exponent of 0.20
- Press the "0.20" key, then press the "x^y" button (which represents exponentiation)
- Enter "5", then press the "=" button
- Note down the result of 0.20^5
Step 3: Calculate the exponent of 0.80
- Press the "0.80" key, then press the "x^y" button
- Enter "10-5", then press the "=" button
- Note down the result of 0.80^(10-5)
Step 4: Calculate the final result
- Multiply the result from Step 1, Step 2, and Step 3
- Note down the final result
Now, let's go through the calculations you provided and identify any mistakes:
P(5) = (10 C 5) (0.20^5) [0.80^(10-5)]
Using the formula and the above steps, let's calculate it manually:
Step 1:
nCr(10,5) = 252
Step 2:
0.20^5 = 0.00032
Step 3:
0.80^(10-5) = 0.32768
Step 4:
P(5) = 252 * 0.00032 * 0.32768 ≈ 0.0262144
So, the correct answer is approximately 0.0262144, not 0.000104858.
It seems that there was an error in one or more of the calculations performed. By following the steps provided, you should be able to obtain the correct answer on your TI-30X calculator.