Mathematics, 12.03.2020 04:32 Kalistaaaaaaa

An alcohol awareness task force at a Big-Ten university sampled 200 students after the midterm to ask them whether they went bar hopping the weekend before the midterm or spent the weekend studying, and whether they did well or poorly on the midterm. The following result was obtained. Did Well on Midterm Did Poorly on MidtermStudying for Exam 80 20Went Bar Hopping 30 70a. What is the probability that a randomly selected student who went bar hopping did well on the midterm?b. What is the probability that a randomly selected student did well on the midterm or went bar hopping the weekend before the midterm?c. What is the probability that a randomly selected student did well on the midterm and also went bar hopping the weekend before the midterm?

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Answer from: sardarp1irc5

(a) The probability that a student who went bar hopping did well on the midterm is 0.30.

(b) The probability that a student did well on the midterm or went bar hopping is 0.90.

Step-by-step explanation:

The data provided is:

Did well (W) Did Poorly (P) TOTAL (T)

Studying (S) 80 20 100

Bar-hopping (B) 30 70 100

TOTAL (T) 110 90 200

(a)

Compute the probability that a randomly selected student who went bar hopping did well on the midterm as follows:

P (W|B) = n (W ∩ B) ÷ n (B)

$=\frac{30}{100}\\=0.30$

Thus, the probability that a student who went bar hopping did well on the midterm is 0.30.

(b)

Compute the probability that a randomly selected student did well on the midterm or went bar hopping the weekend before the midterm as follows:

P (W ∪ B) = [n (W) + n (B) - n (W ∩ B)] ÷ N

$=\frac{110+100-30}{200}\\=\frac{180}{200}\\=0.90$

Thus, the probability that a student did well on the midterm or went bar hopping is 0.90.

(c)

Compute the probability that a randomly selected student did well on the midterm and also went bar hopping the weekend before the midterm as follows:

P (W ∩ B) = n (W ∩ B) ÷ N

$=\frac{30}{200}\\=0.15$

Thus, the probability that a student did well on the midterm and also went bar hopping is 0.15.

Answer from: Quest

As you know john locke said he wanted life liberty and the pursuit of happiness so thomas jefferson was inspired about what john locke said so thomas jefferson wrote the declaration of independence for people to be free for people to be happy

Answer from: Quest

answer: y=4000x+14000

step-by-step explanation:

Estimate an equation for the line of best fit for the following scatterplot

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An alcohol awareness task force at a Big-Ten university sampled 200 students after the midterm to as...

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