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Solnce55 [7]
2 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]2 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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Answer:
Step-by-step explanation:
The point slope form of the equation is expressed as
y - 7/2 = 1/2(x - 4)
Comparing with the point slope form of an equation which is expressed as
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m = 1/2
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The slope intercept form of the equation of a straight line is expressed as
y = mx + c
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Substituting y = 7/2, m = 1/2 and x = 4 into y = mx + c, it becomes
7/2 = 1/2 × 4 + c
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The area of a square is 64n36 square units. What is the side length of one side of the square?
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Answer:

Step-by-step explanation:

Since the formula for the area of a square is A = x^2, where x is the side length, x = √A.

If A = 64 square units, the side length is √64 units (8 units)

If A = 36 square units, that length is √36 units (6 units)

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The probability of rolling a sum of 5 from a pair of dice is. What are your odds in favor of rolling a sum of 5?
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How many solutions does the equation have, x1 + x2 + x3 = 10 , where x1 , x2, and x3 are non-negative integers?
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1. When x_1=0, then there are such possible cases for x_2 and x_3:

  • x_2=0,\ x_3=10;
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  • x_2=2,\ x_3=8;
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In total 11 solutions for x_1=0.

2. For x_1=1, there are such possible cases for x_2 and x_3:

  • x_2=0,\ x_3=9;
  • x_2=1,\ x_3=8;
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In total 10 solutions for x_1=1.

3. This process gives you

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  • for x_1=7 - 4 solutions;
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  • for x_1=9 - 2 solutions;
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4. Add all numbers of solutions:

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