The letter tiles C, A, R, E , and S are placed in a box. Without looking, Jorelle picks a letter tile from the box and records the result before placing it back. He repeats the procedure 100 times and observes the following results:
A. X C A R E S
P(X) 0.25 0.25 0.35 0.15 0.15
B.X C A R E S
P(X) 0.20 0.25 0.30 0.10 0.15
C X C A R E S
P(X) 0.20 0.30 0.25 0.10 0.15
D. X C A R E S
P(X) 0.02 0.03 0.03 0.01 0.015
Based on the results provided by Jorelle, it seems that the probability of picking each letter tile varies across the different trials. The probabilities are not consistent in all trials, indicating that the distribution of the letter tiles in the box may not be uniform.
For example, in trial A, the probability of selecting the letter C is 0.25, while in trial B, the probability is 0.20. Similarly, the probability of selecting the letter A varies from 0.25 in trial A to 0.30 in trial C. This inconsistency suggests that the distribution of letter tiles in the box is not equal.
Overall, Jorelle's experiment highlights the importance of considering the distribution of outcomes when conducting random sampling or selecting items from a population. In this case, the variability in probabilities across trials suggests that the selection process may not be truly random and that the distribution of letter tiles in the box may not be uniform.
So is it A, B, C, or D?
Based on the information provided by Jorelle's results, it is difficult to definitively determine which trial (A, B, C, or D) represents the true distribution of the letter tiles in the box. The probabilities of selecting each letter tile vary across the trials, indicating inconsistency in the distribution.
Since the probabilities differ between the trials and are not consistent, it suggests that the distribution of letter tiles in the box is not uniform. Without additional information or more trials, it is challenging to determine which trial accurately represents the underlying distribution of the letter tiles in the box.
In conclusion, the results suggest that the distribution of letter tiles in the box may not be uniform, and further experimentation or information would be required to make a more definitive conclusion.
....
just hush my child.