(a) Which among the following numbers could be the

Chapter 5, Problem 1RE

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QUESTION: Which among the following numbers could be the probability of an event?

0, -0.01, 0.75, 0.41, 1.34

Which among the following numbers could be the probability of an event?

\(\frac{2}{5}, \frac{1}{3},-\frac{4}{7}, \frac{4}{3}, \frac{6}{7}\)

Equation Transcription:

Text Transcription:

\frac{2}{5}, \frac{1}{3},-\frac{4}{7}, \frac{4}{3}, \frac{6}{7}

Questions & Answers

QUESTION: Which among the following numbers could be the probability of an event?

0, -0.01, 0.75, 0.41, 1.34

Which among the following numbers could be the probability of an event?

\(\frac{2}{5}, \frac{1}{3},-\frac{4}{7}, \frac{4}{3}, \frac{6}{7}\)

Equation Transcription:

Text Transcription:

\frac{2}{5}, \frac{1}{3},-\frac{4}{7}, \frac{4}{3}, \frac{6}{7}

ANSWER:

 Solution:

 Step 1 of 2:

      The probability of an event must satisfy two conditions.

  1. All the probabilities must lie between 0 and 1.

            That is, 0 < P < 1.

  1. The sum of the probabilities must be 1.

             That is, .

a).

 

          The given numbers are

              0, -0.01, 0.75, 0.41, 1.34.

      Here 0, 0.75 and 0.41 are the probability events. -0.01 and 1.34 are not.


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