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Solnce55 [7]
3 years ago
7

The table shows the results of an experiment in which subjects taking either a drug or a placebo either reported fatigue or did

not report fatigue.
Which calculation shows that selecting a subject who took the drug and selecting a subject who reported fatigue are dependent events?

Choose all answers that are correct.

— P(drug) = 0.6
P(drug | fatigue) ≈ 0.727
0.6 ≠ 0.727

— P(fatigue) = 0.44
P(fatigue | drug) ≈ 0.533
0.44 ≠ 0.533

— P(drug) = 0.6
P(fatigue) ≈ 0.44
0.6 ≠ 0.44

—P(drug and fatigue) = 0.32
P(drug) • P(fatigue) = 0.264
0.33 ≠ 0.264

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0

Answer:

Therefore, the correct options are;

-P(fatigue) = 0.44

P(fatigue \left |  \right drug) = 0.533

--P(drug and fatigue) = 0.32

P(drug)·P(fatigue) = 0.264

Step-by-step explanation:

Here we have that for dependent events,

P(A \, and \, B)= P(A)\times  P(B\left |  \right A )

From the options, we have;

P(fatigue \left |  \right drug) = 0.533

P(drug) = 0.6

P(drug and fatigue) = 0.32

Therefore

P(drug and fatigue) = P(drug)×P(fatigue \left |  \right drug)  

= 0.6 × 0.533 = 0.3198 ≈ 0.32 = P(drug and fatigue)

Therefore, the correct options are;

-P(fatigue) = 0.44

P(fatigue \left |  \right drug) = 0.533

--P(drug and fatigue) = 0.32

P(drug)·P(fatigue) = 0.264

Since P(fatigue) = 0.44 ∴ P(drug) = 0.264/0.44 = 0.6.

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