A market research company is interested in the home owership rates across Melbourne suburbs. They survey 253 households in the suburb of Carlton where the true probability of being a home owner for a given household is 0.782. Assume that the home ownership status of each households is independent of others. 1. What is the distribution of X? 2. What is the variance of X? 3. What is the probability that X is greater than 200 ?

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A market research company is interested in the home owership rates across Melbourne suburbs. They survey 253 households in the suburb of Carlton where the true probability of being a home owner for a given household is 0.782. Assume that the home ownership status of each households is independent of others.

1. What is the distribution of X?

2. What is the variance of X?

3. What is the probability that X is greater than 200 ?

4. What is the probability that X is less than or equal to 200?

 

 

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Determine the distribution of X.

 

The distribution of X is determined below as follows:

 

Let X denotes the number of people who status the ownership of homes which follows binomial distribution with the probability of success 0.782 and the random sample of 253 households has been selected.

 

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