Refer to Exercise 3.7. Find the mean and standard

Chapter 3, Problem 17E

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QUESTION:

Problem 17E

Refer to Exercise 3.7. Find the mean and standard deviation for Y = the number of empty bowls. What is the probability that the value of Y falls within 2 standard deviations of the mean?

Reference

Each of three balls are randomly placed into one of three bowls. Find the probability distribution for Y = the number of empty bowls.

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QUESTION:

Problem 17E

Refer to Exercise 3.7. Find the mean and standard deviation for Y = the number of empty bowls. What is the probability that the value of Y falls within 2 standard deviations of the mean?

Reference

Each of three balls are randomly placed into one of three bowls. Find the probability distribution for Y = the number of empty bowls.

ANSWER:

Solution:

Step 1 of 3:

Here the experiment under consideration is randomly placing each of  three balls into  one of the three bowls.

Let Y= number of empty bowls.

We need to find the mean and standard deviation of Y and also the probability that Y falls within 2 standard deviations of the mean.


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