Binomial Distribution and Poisson Distribution
| Feature | Binomial Distribution | Poisson Distribution | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Definition | Describes the number of successes in a fixed number of trials, each with the same probability of success. | Describes the number of events occurring in a fixed interval of time or space, given the average rate of occurrence. | ||||||||||
| Parameters | Number of trials (n), probability of success (p). | Rate of occurrence (λ, average number of events). | ||||||||||
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A research was conducted to improve the safety plans in a factory. In this study, the accidental data of the factory for the last 50 weeks were compiled. These data are grouped into the frequency distribution as shown below:
A researcher would like to test whether there is any significant difference between the proportion of safety consciousness of men and women while driving a car. In a sample of 300 men, 130 said that they used seat belts. In a sample of 300 women, 90 said that they used seat belts. Test the claim that there is no significant difference between the proportion of safety consciousness of men and women while driving a car at 5% level of significance. (Given that Z0.025 = 1.96) Suppose an analyst studies three villages having population N1 = 50000, N2 =30000 and N3 = 40000, respectively. A stratified random sample is to be taken with a total sample size of n = 500. Determine the sample size to be selected from each village individually using the method of (i) proportional, and (ii) optimal allocation. From the previous survey, it is known that the standard deviations are S1=30, S2 =15& S3=20. Goodness of Fit Test IGNOU NEWS Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★ Top |
