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4. Now imagine that you roll two dice, one red and one green. What are the possible sample means that you could have? Complete the following table, entering the sample mean number of pips for each of the 36 possible outcomes. Some have been done for you. 1 4 1 2 1.5 3 2.5 4 6 5. Using the 36 sample means found in # 4, complete the probability distribution table for X, the mean number of pips on the faces when 2 dice are rolled. P(x) 1 1.5 2.5 3 3.5 4 4.5 5 5.5 6 6. Sketch the probability histogram for X below. Compare your results with those in #2. 6.

4. Now imagine that you roll two dice, one red and one green. What are the possible sample means that you could have? Complete the following table, entering the sample mean number of pips for each of the 36 possible outcomes. Some have been done for you. 1 4 1 2 1.5 3 2.5 4 6 5. Using the 36 sample means found in # 4, complete the probability distribution table for X, the mean number of pips on the faces when 2 dice are rolled. P(x) 1 1.5 2.5 3 3.5 4 4.5 5 5.5 6 6. Sketch the probability histogram for X below. Compare your results with those in #2. 6.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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I only need help with second page ... questions 4 5 6

In this activity, we investigate the sampling distribution of the sample mean, X 1. Imagine that you roll a single, fair, six-sided die once. Define the random variable X, to be the number of dots (pips) on the upward face. Complete the probability distribution table for X. P(x) 1 2 3 4 2. Sketch the probability histogram for x below. Let the x-axis be the OUTCOME and let the y-axis be the PROBABILITY. 3. Determine the mean and standard deviation for X. As a reminder, you determine the mean of a discrete probability distribution using u =ExP(x) and the standard deviation is found most simply using the formula o = EX²P(x)- µ² (see page 322). %3D
Transcribed Image Text:In this activity, we investigate the sampling distribution of the sample mean, X 1. Imagine that you roll a single, fair, six-sided die once. Define the random variable X, to be the number of dots (pips) on the upward face. Complete the probability distribution table for X. P(x) 1 2 3 4 2. Sketch the probability histogram for x below. Let the x-axis be the OUTCOME and let the y-axis be the PROBABILITY. 3. Determine the mean and standard deviation for X. As a reminder, you determine the mean of a discrete probability distribution using u =ExP(x) and the standard deviation is found most simply using the formula o = EX²P(x)- µ² (see page 322). %3D
4. Now imagine that you roll two dice, one red and one green. What are the possible sample means that you could have? Complete the following table, entering the sample mean number of pips for each of the 36 possible outcomes. Some have been done for you. 1 2 3 4 6 1.5 3 3 2.5 4 5 6 5. Using the 36 sample means found in #4, complete the probability distribution table for X, the mean number of pips on the faces when 2 dice are rolled. P(x) 1 1.5 2.5 3 3.5 4 4.5 5.5 6. Sketch the probability histogram for X below. Compare your results with those in #2. 556
Transcribed Image Text:4. Now imagine that you roll two dice, one red and one green. What are the possible sample means that you could have? Complete the following table, entering the sample mean number of pips for each of the 36 possible outcomes. Some have been done for you. 1 2 3 4 6 1.5 3 3 2.5 4 5 6 5. Using the 36 sample means found in #4, complete the probability distribution table for X, the mean number of pips on the faces when 2 dice are rolled. P(x) 1 1.5 2.5 3 3.5 4 4.5 5.5 6. Sketch the probability histogram for X below. Compare your results with those in #2. 556
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