answersLogoWhite

0

Suppose you have n trials of an experiment in which the probability of "success" in each trial is p. Then the probability of r successes is:

nCr*pr*(1-p)n-r for r = 0, 1, ... n.

nCr = n!/[r!*(n-r)!]

User Avatar

Wiki User

11y ago

What else can I help you with?

Related Questions

The binomial and Poisson distributions are examples of discrete probability distributions?

discrete & continuous


What is normal binomial distribution?

There is no such thing. The Normal (or Gaussian) and Binomial are two distributions.


What is the study of mathematical probabilities distributions and deviations?

It is "probability".


What fields of mathematics uses pascals triangle?

Pascal's Triangle is used in various fields of mathematics, including combinatorics, algebra, and number theory. In combinatorics, it provides a convenient way to calculate binomial coefficients, which are essential in counting combinations. In algebra, it aids in expanding binomial expressions through the Binomial Theorem. Additionally, it has connections to probability theory, such as in calculating probabilities in binomial distributions.


Are outcomes in binomial distributions dependent on each other?

No.


What kind of distributions are the binomial and poisson distribution?

Discrete


Is binomial and poisson distributions descrete or continuous?

Both the binomial and Poisson distributions are discrete probability distributions. The binomial distribution models the number of successes in a fixed number of independent trials, while the Poisson distribution models the number of events occurring in a fixed interval of time or space. Since both deal with countable outcomes, they are classified as discrete distributions.


What are the pros and cons of discrete probability distribution?

Strictly speaking, there are no cons because they are defined for discrete variables only. The only con that I could think of is the difficulty evaluating the moments and other probabilities for some discrete distributions such as the negative binomial.


How do you find binomial probabilities using a binomial table?

Read the instructions that accompany the table: they do not all have exactly the same layout.


What is difference between skew binomial and symmetric binomial distribution?

In a symmetric binomial distribution, the probabilities of success and failure are equal, resulting in a symmetric shape of the distribution. In a skewed binomial distribution, the probabilities of success and failure are not equal, leading to an asymmetric shape where the distribution is stretched towards one side.


Why do you need to study binomial theorem?

Studying the binomial theorem is essential because it provides a powerful method for expanding expressions of the form (a + b)^n, enabling efficient calculations in algebra and combinatorics. It lays the groundwork for understanding probabilities, as it relates to binomial distributions, which model various real-world scenarios. Additionally, the theorem enhances problem-solving skills and is applicable in calculus, making it a vital concept in higher mathematics.


What kinds of distributions are there?

There are several types of distributions in statistics, including normal, binomial, Poisson, uniform, and exponential distributions. The normal distribution is bell-shaped and commonly used due to the Central Limit Theorem. Binomial distributions deal with binary outcomes, while Poisson distributions model the number of events in a fixed interval. Uniform distributions have constant probability across a range, and exponential distributions often describe time until an event occurs.

Trending Questions
How many combinations of three digits can be made from the numbers 123? Amybrettand cate secretly write down ZUor T. What is the probability that Cate's letter is different from both Amy's letter and Brett's letter? What does a data set means? A bag contains 5 green marbles 3 yellow and 2 red marbles. What is the probability of picking three green marbles from the bag without replacement? Techniques used to summarize organize and present data that have been collected are called? What does the author achieve by mixing exact and approximate numbers in a contribution to statics? What is the average hand span for a 11 year old? Why was Neha Mehta chosen for the role of Shakuntala? What is the probability of drawing an ace or a diamond? Can you become pregnant if you have unprotected sex every night in a months time? Members of which group would most likely earn a salary that is greater than the national median income? How are histograms arranged? What is the probability that the spinner stop in multiple of 3. The spinner is numbered 1 through 8? Two and a half meters is how many centimeters? What is the volume of a six sided dice? 85 percent of 142? How does the impression made by a line graph change when you make the horizontal scale shorter but keep the virtical scale the same? Is a midgets head larger than normal or does his body size make just make it look bigger? If the probability of a defect is 0.015 what is the probability of not having a defect? What is the probability of rolling a number greater than 3 on one roll of a die?