Consider the probability distributions shown

Chapter 4, Problem 19E

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QUESTION:

Consider the probability distributions shown here:

a. Use your intuition to find the mean for each distribution. How did you arrive at your choice?

b. Which distribution appears to be more variable? Why?

c. Calculate \(\mu\) and \(\sigma^2\) for each distribution. Compare these answers to your answers in parts a and b.

Questions & Answers

QUESTION:

Consider the probability distributions shown here:

a. Use your intuition to find the mean for each distribution. How did you arrive at your choice?

b. Which distribution appears to be more variable? Why?

c. Calculate \(\mu\) and \(\sigma^2\) for each distribution. Compare these answers to your answers in parts a and b.

ANSWER:

Step 1 of 4

We have the probability distribution for the random variable x and y.

x

p(x)

y

p(y)

0

0.3

0

0.1

1

0.4

1

0.8

2

0.3

2

0.1

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