Once all three lists are generated, add them to create the totals of the 200 trials. Create a discrete random variable relative frequency histogram for this data. Clearly label the axes and scale. Calculate the mean and standard deviation for the roll totals: μ= σ= Use these to define a normal probability distribution for the total on the roll of 3 dice. Compare the probabilities of the experimental discrete probability distribution and the normal curve distribution for several cases listed on the table. Complete the table. Probability Relative Frequency Histogram Normal Curve P(9.5≤x≤10.5) P(x≤3) P(x≥15) P(8≤x≤10) Write a brief paragraph comparing the results of the table above. Discuss any similarities or differences in these results. There are 216 possible outcomes for the roll of three dice. The theoretical probabilities for the outcomes of the roll of three six-sided dice are: Roll Probability 3 1/216 4 3/216 5 5/216 6 10/216 7 15/216 8 21/216 9 25/216 10 27/216 11 27/216 12 25/216 13 21/216 14 15/216 15 10/216 16 5/216 17 3/216 18 1/216 Calculate the theoretical probabilities of the indicated rolls and include them on the table below. Probability Relative Frequency Histogram Normal Curve Theoretical Probability P(9.5≤x≤10.5) P(x≤3) P(x≥15) P(8≤x≤10)
Once all three lists are generated, add them to create the totals of the 200 trials. Create a discrete random variable relative frequency histogram for this data. Clearly label the axes and scale. Calculate the mean and standard deviation for the roll totals: μ= σ= Use these to define a normal probability distribution for the total on the roll of 3 dice. Compare the probabilities of the experimental discrete probability distribution and the normal curve distribution for several cases listed on the table. Complete the table. Probability Relative Frequency Histogram Normal Curve P(9.5≤x≤10.5) P(x≤3) P(x≥15) P(8≤x≤10) Write a brief paragraph comparing the results of the table above. Discuss any similarities or differences in these results. There are 216 possible outcomes for the roll of three dice. The theoretical probabilities for the outcomes of the roll of three six-sided dice are: Roll Probability 3 1/216 4 3/216 5 5/216 6 10/216 7 15/216 8 21/216 9 25/216 10 27/216 11 27/216 12 25/216 13 21/216 14 15/216 15 10/216 16 5/216 17 3/216 18 1/216 Calculate the theoretical probabilities of the indicated rolls and include them on the table below. Probability Relative Frequency Histogram Normal Curve Theoretical Probability P(9.5≤x≤10.5) P(x≤3) P(x≥15) P(8≤x≤10)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Question
100%
Once all three lists are generated, add them to create the totals of the 200 trials.
- Create a discrete random variable relative frequency histogram for this data. Clearly label the axes and scale.
- Calculate the
mean and standard deviation for the roll totals:
μ= σ=
Use these to define a normal
- Compare the probabilities of the experimental discrete probability distribution and the
normal curve distribution for several cases listed on the table. Complete the table.
Probability | Relative Frequency Histogram | Normal Curve |
P(9.5≤x≤10.5) | ||
P(x≤3) | ||
P(x≥15) | ||
P(8≤x≤10) |
- Write a brief paragraph comparing the results of the table above. Discuss any similarities or differences in these results.
- There are 216 possible outcomes for the roll of three dice. The theoretical probabilities for the outcomes of the roll of three six-sided dice are:
Roll | Probability |
3 | 1/216 |
4 | 3/216 |
5 | 5/216 |
6 | 10/216 |
7 | 15/216 |
8 | 21/216 |
9 | 25/216 |
10 | 27/216 |
11 | 27/216 |
12 | 25/216 |
13 | 21/216 |
14 | 15/216 |
15 | 10/216 |
16 | 5/216 |
17 | 3/216 |
18 | 1/216 |
Calculate the theoretical probabilities of the indicated rolls and include them on the table below.
Probability | Relative Frequency Histogram | Normal Curve | Theoretical Probability |
P(9.5≤x≤10.5) | |||
P(x≤3) | |||
P(x≥15) | |||
P(8≤x≤10) |
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