normal probability distribution


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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 (x) : 2 1 1 0 x is called a random variable, which can assume the v..
Cumulative Frequency Distribution
Cumulative frequency is obtained by adding the frequency of a class interval and the frequencies of the preceding intervals upto that class interval. This is explained by an example below. The following frequency distribution table gives the marks obtained by 40 students: Table (a) The fr..
Cumulative Frequency Distribution
Cumulative frequency is obtained by adding the frequency of a class interval and the frequencies of the preceding intervals upto that class interva..
Example:
If the mean and variance of a binomial distribution are respectively 9 and 6, find the distribution..
Example:
If the variance of the Poisson distribution is 2, find the probabilities for r = 1, 2, 3, 4 and 5 from the recurrence relation of the Poisson distribution..
Note 2:
Although the probability distribution of a continuous r.v cannot be presented in tabular forms, we can have a formula in the form of a function represented by f(x) usually called the probability density functio..
marksTally
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 marks 5 is three because three stude..
Probability - I Summary
>If A, B and C are mutually exclusive then Total Probability: P(A) = P(E 1 ) P(A|E 1 ) + P(E 2 ) P(A|E 2 )+ +P(E n ) P(A|E n ) Random variable: A real valued function 'X' defined on the sample space is called a random variable. Discrete random variable: A random variable which can assume ..
Merits and Demerits of Mean Deviation
Merits: - Mean deviation is easy to calculate. This measure is simple to understand. This can be calculated from any average. Its value is based upon all the (observations) items of the data. It is less affected by extreme observations. It gives us an idea about how the items are situated in the ..
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