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1 ) What is mean, variance and expectations?

Indicate - The mean of a under the radar random variable X is a measured average from the possible values that the randomly variable usually takes. Unlike the sample indicate of a number of observations, that gives each remark equal fat, the suggest of a random variable dumbbells each outcome xi according to its probability, pi. The imply also of any random adjustable provides the long-run average of the variable, or maybe the expected normal outcome more than many findings. The common sign for the mean (also known as the expected value of X) is�, formally identified by

Variance - The variance of a discrete random variable X measures the spread, or variability, of the distribution, and is described by

The standard deviation is the square root of the difference.

Expectation -- The expected value (or mean) of X, wherever X is known as a discrete random variable, is known as a weighted normal of the conceivable values that X can take, each benefit being measured according to the possibility of that event occurring. The expected value of By is usually drafted as E(X) or m.

E(X) sama dengan S back button P(X sama dengan x)

So the expected benefit is the sum of: [(each from the possible outcomes) × (the probability from the outcome occurring)]. In more cement terms, the expectation is what you would anticipate the outcome of your experiment to get on average. installment payments on your Define the next;

a) Binomial Distribution -- is the discrete probability distribution of the number of success in a sequence of n independent yes/no experiments, each which yields success with probability p. Therewith the probability of an event is described by its binomial distribution. A success/failure experiment is likewise called a Bernoulli experiment or Bernoulli trial; when n = 1, the binomial circulation is a Bernoulli distribution. The binomial syndication is the basis for the popular binomial test of statistical significance. The binomial division is frequently used to model the number of successes in a sample...