1. In a City, out of 20000 news paper subscribers, exactly 5000 subscribe to The Hindu. An advertising firm surveys 500 different subscribers of these 20000 subscribers. The random variable X = the number of The Hindu subscribers surveyed by the advertizing firm, has

Choose one answer:
a. Hyper geometric distribution
b. Poisson distribution
c. Binomial distribution
d. Geometric distribution

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To determine the distribution of the random variable X, we need to consider the characteristics of the scenario.

In this case, the advertising firm is surveying a sample of 500 subscribers out of a total of 20,000 newspaper subscribers, of which 5,000 subscribe to The Hindu. The goal is to determine the number of The Hindu subscribers surveyed.

The correct distribution for this scenario is the hypergeometric distribution. This is because we are selecting without replacement (once a subscriber is selected, they cannot be selected again) from a finite population (the total number of subscribers). The hypergeometric distribution is used to model situations where the population size is fixed, and the success or failure in each trial affects the subsequent trials.

Therefore, the answer is:

a. Hypergeometric distribution