The binomial distribution is a discrete probability distribution. The number of possible outcomes depends on the number of possible successes in a given trial. For the Poisson distribution there are Infinitely many.
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how do we analyze favorable and possible outcomes
Possible outcomes of a single dice are 6 ( 1,2,3,4,5,6) So if 5 such dices are rolled then the number of possible outcomes are 6 mulitiplied by 6 five times. 6x6x6x6x6x6=46656 possible outcomes.
If the numbers (or symbols) are all different then 10 outcomes.
The probability of an event occurring can be found by dividing the number of favorable outcomes (what you want to happen) by the number of possible outcomes number of favorable outcomes probability = _________________________ number of possible outcomes
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A binomial experiment is a experiment that consists of repeated trails, with two possible outcomes. An example of this would be a coin toss.Ê
Binomial distribution is learned about in most statistic courses. You could use them in experiments when there are two possible outcomes and each experiment is independent.
No. A binomial distribution consists of trials with only two possible outcomes. The experiment described in the question has six - unless the die is so seriously loaded that only two outcomes are possible.
No. It is multinomial because you have more than two possible outcomes each time.
Experimental or empirical probability.
A probability distribution describes the likelihood of different outcomes in a random experiment. It shows the possible values of a random variable along with the probability of each value occurring. Different probability distributions (such as uniform, normal, and binomial) are used to model various types of random events.
The probability of any event lies in the interval [0, 1]. The sum (or integral) over all possible outcomes is 1.
theoretical probability is one half experimental probability is four tenths this is because to find theoretical probability you need to do number of outcomes you were looking for over the number of outcomes possible experimental probability is number of turns that were what you were looking for over the number of turns
23 or 8 outcomes. In any experiment with two outcomes, if you do the experiment n times there are 2n outcomes. This about each time you roll the coin have two possible outcomes, H or T. So if you roll it 2 times, you have 4 possible outcomes. HH, HT, TH or TT. Do it one more time and you have 8 outcomes. HHH, HHT, HTH, THH TTT TTH THT HTT Notice there are 1 outcome with 3 heads, 1 with 3 tails 3 with two heads 3 with two tails This pattern follow the binomial theorem. The coefficients of the binomial (H+T)3 are 1 3 3 1. The same numbers as we have above!
The assumptions of the binomial distribution are that there are a fixed number of independent trials, each trial has two possible outcomes (success or failure), the probability of success is constant across all trials, and the outcomes of each trial are independent of each other.
how do we analyze favorable and possible outcomes