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Numerade Educator

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Problem 117 Hard Difficulty

A previous year, the weights of the members of the San Francisco 49ers and the Dallas Cowboys were published in the San Jose Mercury News. The factual data are compiled into Table 3.24.
$$\begin{array}{|l|l|l|l|l|}\hline \text { Shirtt } & { \leq 210} & {211-250} & {251-290} & {290 \leq} \\ \hline 1-3 & {21} & {5} & {0} & {0} \\ \hline 34-66 & {6} & {18} & {7} & {4} \\ \hline 66-99 & {6} & {12} & {22} & {5} \\ \hline\end{array}$$
For the following, suppose that you randomly select one player from the 49ers or Cowboys.
If having a shirt number from one to 33 and weighing at most 210 pounds were independent events, then what should be true about P(Shirt# 1–33|? 210 pounds)?

Answer

$P(\text { shirti} 1-33)=P(\text { shirti} 1-33 | \leq 210 \text { pounds })$

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Video Transcript

1 17 a previous year. The weights of the members of the San Francisco 40 Niners and the Palace have boys were published in the San Jose Mercury News. The factual data compiled into table 3.24 So we have a table of, ah, a bunch of information of shirt numbers versus the weights of players says for the following. Suppose you randomly select one player from the 40 Niners of the Cowboys. If having a shirt number from 1 to 33 waiting at most £210 were independent events than what should be true about the probability of a shirt being between one and 33 given of a player waste list? No. So what's being asked here is this. So we have Jersey Number went through 33 and the player weighing at most or, in other words, less than or equal to £210. The question is, are these two events independence? They want to know if they were truly independent. What should be true about the probability of a shirt being numbered one through 33 given that a player was at most £210. So what you'll find here is that these two things are truly and the shirt number and the weight of the player did not matter whatsoever. Then essentially, what would be true here is that this it would be the same exact answer as the probability of a player having a shirt number one through 33 regardless of their weight. So the red probability should be equal to the blue probability because knowing the weight of the player should not matter.