Place eight chips in a bowl: Three have the number 1 on

Chapter 2, Problem 6E

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QUESTION:

Problem 6E

Place eight chips in a bowl: Three have the number 1 on them, two have the number 2, and three have the number 3. Say each chip has a probability of 1/8 of being drawn at random. Let the random variable X equal the number on the chip that is selected, so that the space of X is S = {1, 2, 3}. Make reasonable probability assignments to each of these three outcomes, and compute the mean μ and the variance σ2 of this probability distribution.

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QUESTION:

Problem 6E

Place eight chips in a bowl: Three have the number 1 on them, two have the number 2, and three have the number 3. Say each chip has a probability of 1/8 of being drawn at random. Let the random variable X equal the number on the chip that is selected, so that the space of X is S = {1, 2, 3}. Make reasonable probability assignments to each of these three outcomes, and compute the mean μ and the variance σ2 of this probability distribution.

ANSWER:

Answer:

Step 1 of 3:

       Given that, there are 8 chips in a bowl.Three have the number 1 on them, two have the number 2, and three have the number 3. Say each chip has a probability of 1/8 of being drawn at random.

       Let ‘X’ be the number on the chip that is selected.

         Given the sample space, S = { 1,2,3}.


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