check whether the distributions shown in table 1 and table 2 are probability distributions or not.table 1

Check whether the distributions shown in table 1 and table 2 are probability distributions or not. Table - 1 X 1 2 3 P(X) 1.5 - 0.5 0 Table..

A teacher gave a test to a class of 26 students. The maximum mark is 5. The marks obtained by the pupils are: Such data as above is called ungrouped (or raw) data. We may arrange the marks in ascending or descending order. The data so represented is called an array. The difference between the great..

where l is a finite number and is equal to np. The sum of the probabilities P(X = r) or simply P(r) for r = 0, 1, 2, is 1. This can be seen by putting r = 0, 1, 2, in (4) and adding all the probabilities. Also, each of the p..

It is a vertical stroke put to represent a particular score. After 4 vertical strokes the fifth stroke is drawn across them to make a bunch of five. This makes the totalling easier. If the number of scores is large, then the range is divided into a number of classes. The tally score is obtained fo..

(1) Mark class intervals on X-axis and frequencies on Y-axis. (2) The scales for both the axes need not be the same. (3) Class intervals must be exclusive. If the intervals are in inclusive form, convert them to the exclusive form. (4) Draw rectangles with class intervals as ba..

The number which tells us how many times a particular data appears is called the frequency. For example, 2 marks have been scored by five students which means marks 2 occurs five times. Therefore, the frequency of score 2 is five. Similarly, the frequency of mark..

A trial, which has only two outcomes i.e., "a success" or "a failure", is called a Bernoulli trial. Let X be the number of successes in a Bernoulli trial, then X can take 0 or 1 and P(X =1) = p = "probability of a success" P(X = 0) = 1 - p = q = "..

Let S be a sample space associated with a given random experiment. A real valued function X which assigns to each w i S, a unique real number, X( w i ) = x i is called a random variable . Two types of random variables are 1. Continuous random variable, ..

Random Variable and Probability Distribution - If is often very important to allocate a numerical value to an outcome of a random experiment. For example consider an experiment of tossing a coin twice and note the number of heads (x) obtained. Outcome : HH HT TH TT No. of heads ..

If is often very important to allocate a numerical value to an outcome of a random experiment. For example consider an experiment of tossing a coin twice and note the number of heads (x) obtained. Outcome : HH HT TH TT No. of heads (x) : 2 1 1 0 x is called a random va..