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a study of social mobility in england looked at the social class reached by the sons of lower-class fathers. social classes are numbered from 1 (low) to 5 (high). take the random variable x to be the class of a randomly chosen son of a father in class i. the study found that the distribution of x is:

Sagot :

The probability distribution given by the table at the end of the answer is a valid distribution, as the sum of all the probabilities is of 1.

What are the requirements for a valid probability distribution?

There are two requirements for a valid probability distribution, given as follows:

  • All the probabilities are non-negative, with values between 0 and 1.
  • The sum of all the probabilities is of 1.

The distribution in this problem, from the table given at the end of the answer, is defined as follows:

  • P(X = 1) = 0.48.
  • P(X = 2) = 0.38.
  • P(X = 3) = 0.08.
  • P(X = 4) = 0.05.
  • P(X = 5) = 0.01.

The sum of all these probabilities is of:

0.48 + 0.38 + 0.08 + 0.05 + 0.01 = 1.

Hence this is a valid probability distribution.

Missing Information

The probability distribution is given by the image shown at the end of the answer.

The problem asks if the distribution is valid.

More can be learned about valid probability distributions at https://brainly.com/question/10524580

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View image Joaobezerra
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