# The state of Michigan generates a three-digit number at random twice a day, seven days a week for its Daily

## Question:

Let X denote the outcome when a single digit is generated.

(a) With true random numbers, what is the pmf of X?

Draw the probability histogram.

(b) For the 150 observations, determine the relative frequencies of 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively.

(c) Draw the relative frequency histogram of the observations on the same graph paper as that of the probability histogram. Use a colored or dashed line for the relative frequency histogram.

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## Step by Step Answer:

**Related Book For**

## Probability and Statistical Inference

**ISBN:** 978-0321923271

9th edition

**Authors:** Robert V. Hogg, Elliot Tanis, Dale Zimmerman

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