For C3_W2_Assignment
Exercise
2,
The 3 answers are all wrong. Isn’t it?
The left one is close to true answer but, the histogram is not symmetric.
2,
Hi @Panda_Food!
The sums’ probabilities increase to the middle value (7) and then symmetrically decrease. The first histogram (blue) appears to have these correct probabilities, with the peak at 7 being the highest and the values symmetrically decreasing as you move away from it.
While the third histogram (red) is similar, it appears to have slightly different bar heights, which may suggest a deviation in the probabilities. The first histogram aligns more precisely with the expected distribution pattern for two six-sided dice.
In summary, the first histogram (blue) is more correct for the PMF of the sum of two dice rolls due to its alignment with the expected probabilities and symmetrical shape.
Feel free to reach out if you have any other questions. Happy learning!
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Hi @Panda_Food,
In addition to what @XinghaoZong said, if you were to roll two dice an infinite number of times, the PMF for the sum would be perfectly symmetric around 7. However, with a limited number of rolls, natural variation can cause slight asymmetry in the histogram, as some sums may appear a bit more or less frequently than expected due to chance. So, you should choose the histogram most similar to the one with infinite rolls.
Hope this helps! Feel free to reach out if you need further assistance.
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