Inverse Binomial
1. The problem involves finding the inverse binomial using a Casio GDC calculator.
2. To solve an inverse binomial problem, you typically want to find the number of trials or probability given certain cumulative probabilities.
3. The Casio GDC calculator has functions for binomial distribution, usually accessed via the DISTR or PROB menu.
4. You use the inverse binomial function to find the value of $x$ such that $P(X \le x) = p$ for given $n$ and $p$.
5. Step-by-step on Casio GDC:
- Turn on the calculator.
- Access the DISTR menu.
- Select the inverse binomial function (often labeled "invB(").
- Input the parameters: cumulative probability $p$, number of trials $n$, and probability of success $p_s$.
- The calculator returns the value(s) of $x$ corresponding to the cumulative probability.
6. Example: Find $x$ such that $P(X \le x) = 0.7$ with $n=10$ and $p_s=0.5$.
7. Input invB(0.7,10,0.5) and get the output for $x$.
8. The key is recognizing how to input arguments correctly and interpret the calculator output.
Final answer: Use the invB function with inputs in the order (cumulative probability, trials, success probability) to find the inverse binomial value on the Casio GDC.