Tally your sums and create an empirical probability distribution for the sums when two dice are rolled. Your denominator for the probability portion should be 50 because you performed 50 trials.Sum (x)Frequency of sum:Relative Frequency P(x)21/50.0230 47/50.1454/50.08610/50.276/50.1284/50.0895/50.1105/50.1116/50.12121/50.02 Use the empirical data to calculate the mean, variance, and standard deviation of this probability distribution. Show all work. Use your results to calculate the empirical probability of rolling a sum less than 3.Use your results to calculate the empirical probability of rolling a sum between (and including) 4 and 7.

The given data is, Sum(X) Frequency of sum: Relative Frequency P(x) 2 0.02 0.02 3 0.02 0.02…

Answered: ally your sums and create an empirical…

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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Tally your sums and create an empirical probability distribution for the sums when two dice are rolled. Your denominator for the probability portion should be 50 because you performed 50 trials.

Sum (x)	Frequency of sum:	Relative Frequency P(x)
2	1/50	.02
3	0
4	7/50	.14
5	4/50	.08
6	10/50	.2
7	6/50	.12
8	4/50	.08
9	5/50	.1
10	5/50	.1
11	6/50	.12
12	1/50	.02

Use the empirical data to calculate the mean, variance, and standard deviation of this probability distribution. Show all work.
Use your results to calculate the empirical probability of rolling a sum less than 3.
Use your results to calculate the empirical probability of rolling a sum between (and including) 4 and 7.

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