Answered question

2022-04-27

Answer & Explanation

star233

star233

Skilled2023-05-02Added 403 answers

To solve this problem, we need to use the concept of joint probability. Let P(L) be the probability that a senior is left-handed, P(W) be the probability that a senior prefers writing by hand, and P(T) be the probability that a senior prefers typing. We can use the information in the table to calculate these probabilities:
P(W)=2145=715
P(T)=2445=815
P(R)=2344
P(L)=2144
where R denotes right-handedness.
Now we can use the joint probability formula to calculate the probability that a senior is both left-handed and prefers writing by hand:
P(LW)=P(L)·P(W)=715·2144=49220
To find out how many seniors are expected to be left-handed, we can use the following formula:
E=N·P(L)=176·214484
Therefore, we would expect approximately 84 seniors out of a sample of 176 to be left-handed based on the information in the tables.

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