## Binomial Cumulative Probability Calculator

## FAQs

**1. How do you solve cumulative binomial probability?** To solve cumulative binomial probability, you add up the probabilities of achieving a certain number of successes or fewer in a series of trials.

**2. How do you find the cumulative probability?** Cumulative probability is found by summing the probabilities of events happening up to a specific point in a probability distribution.

**3. Where is the binomial CDF on a calculator?** On a calculator like the TI-84 Plus, you can find the binomial cumulative distribution function (CDF) in the "DISTR" menu under "binomcdf."

**4. What is the difference between binomial PDF and CDF?** The binomial probability density function (PDF) calculates the probability of a specific number of successes in a fixed number of trials, while the cumulative distribution function (CDF) calculates the probability of getting that number of successes or fewer.

**5. What is cumulative binomial probability?** Cumulative binomial probability is the probability of achieving a certain number of successes or fewer in a series of independent trials with a fixed probability of success on each trial.

**6. How to calculate probability from a cumulative probability distribution?** To calculate probability from a cumulative distribution, subtract the cumulative probability at the lower bound of your range from the cumulative probability at the upper bound. This gives you the probability of the event occurring within that range.

**7. What is an example of cumulative probability?** An example of cumulative probability is finding the probability of rolling a six or less on a fair six-sided die. You add up the probabilities of rolling 1, 2, 3, 4, 5, and 6.

**8. What is a cumulative formula?** A cumulative formula is a mathematical expression that calculates the cumulative probability of an event occurring up to a certain point in a distribution.

**9. How do you calculate the cumulative probability of multiple events?** To calculate the cumulative probability of multiple independent events occurring, multiply the probabilities of each event together.

**10. How do you find the CDF on a TI-84 Plus?** To find the CDF on a TI-84 Plus calculator, go to the "DISTR" menu, select "binomcdf," and then enter the relevant parameters (n, p, k).

**11. How do I know if I need PDF or CDF?** Use the PDF when you want the probability of a specific outcome, and use the CDF when you want the probability of an outcome up to a certain point or within a range.

**12. How do I know if I have PDF or CDF?** You have the PDF if you're calculating the probability of a specific outcome, and you have the CDF if you're calculating the cumulative probability up to a certain point or within a range.

**13. Is PDF just the derivative of CDF?** Yes, the probability density function (PDF) is the derivative of the cumulative distribution function (CDF) for continuous random variables.

**14. What is the difference between normal CDF and binomial CDF?** The normal CDF is used for continuous random variables, like the normal distribution, while the binomial CDF is used for discrete random variables, like the binomial distribution.

**15. What does P stand for in binomial CDF?** In binomial CDF, "P" typically stands for "probability" or "probability of success" on a single trial.

**16. What is the relationship between PDF and CDF?** The PDF provides the probability density at a specific point, while the CDF provides the cumulative probability up to that point.

**17. How do I convert CDF to PDF?** To convert CDF to PDF, you can take the derivative of the CDF function.

**18. How do you calculate cumulative probability in Excel?** To calculate cumulative probability in Excel, you can use functions like BINOM.DIST for the binomial distribution or NORM.DIST for the normal distribution.

**19. What is the difference between binomial and cumulative probability?** Binomial probability calculates the probability of a specific number of successes, while cumulative probability calculates the probability of that number of successes or fewer.

**20. Why do we need cumulative probability?** Cumulative probability is useful for understanding the likelihood of events occurring up to a certain point in a distribution, which can be important in decision-making and statistics.

**21. How do you use the cumulative formula?** To use the cumulative formula, you input the relevant parameters and values into the formula to calculate the cumulative probability.

**22. What is cumulative sum with an example?** Cumulative sum involves adding up a series of numbers as you progress through the list. For example, if you have a list of daily expenses (10, 15, 20, 5), the cumulative sum would be (10, 25, 45, 50), where each number represents the total sum up to that point.

**23. What is an example of cumulative in numbers?** An example of cumulative numbers could be a running total of points scored by a sports team over several games, showing how their total points accumulate with each game.

**24. How do you find the binomial probability on a TI-84?** You can find binomial probability on a TI-84 calculator by using the "binompdf" function for a specific number of successes or "binomcdf" for cumulative probability. You'll need to input the relevant parameters (n, p, k).

**25. How to do CDF on TI-83 Plus?** To calculate the cumulative distribution function (CDF) on a TI-83 Plus calculator, use the "binomcdf" function for the binomial distribution or "normcdf" for the normal distribution. Enter the appropriate parameters.

**26. What is the difference between PDF and CDF for dummies?** PDF gives the probability of a specific outcome, while CDF gives the probability of that outcome or any outcomes before it.

**27. What is the difference between CDF and PDF probability?** CDF provides cumulative probabilities up to a certain point, while PDF gives the probability of a specific outcome.

**28. How do you find the CDF of a normal distribution?** To find the CDF of a normal distribution, use the cumulative distribution function (CDF) formula for the normal distribution, or use a calculator or software that provides this functionality.

**29. What is the formula for CDF given PDF?** The cumulative distribution function (CDF) can be calculated by integrating the probability density function (PDF) from negative infinity to a specific point.

**30. How do I know if I have PDF?** You have the PDF if you're dealing with the probability of a specific value in a continuous probability distribution.

**31. How do I know if my PDF is PDF A?** PDF/A is a specific format of PDF designed for long-term preservation. If your PDF adheres to the PDF/A standard, it typically has certain characteristics and metadata that ensure its preservation.

**32. What is the probability formula for PDF?** The probability density function (PDF) for a continuous random variable is often represented as f(x) and describes the probability density at a specific value x. The formula depends on the specific probability distribution, such as the normal distribution or exponential distribution.

**33. What is the difference between normal CDF and normal PDF?** The normal cumulative distribution function (CDF) gives the probability of a random variable being less than or equal to a specific value, while the normal probability density function (PDF) gives the probability density at a specific value.

**34. What does a PDF tell you?** A probability density function (PDF) tells you the probability density or likelihood of a continuous random variable taking on a specific value. It helps you understand the likelihood of different outcomes in a probability distribution.

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