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Chapter 5: Q 1.3. Solving Equations Using a Graphing Utility (page 303)

IfC is the event that the person chosen has normal cholesterol (below 200 mg/dl), what’s P(C)?

Short Answer

Expert verified

P(C)=0.55

Step by step solution

01

Step 1. Given Information  

P(AorB)=P(A∪B)P(AorB)=P(A)+P(B)

02

Step 2. Concept Used    

The addition theorem of probability is defined as follows: If Aand B are two events in a random experiment, and you want to know the probability of A or B, use the addition theorem of probability.

03

Step 3. Calculation 

Let Aand Bbe two events in a random experiment, then apply the addition theorem to them of probability. That is correct. P(AorB)=P(A∪B)P(AorB)=P(A)+P(B)−P(A∩B)

If events A and B are mutually exclusive. Then P(A∩B)=0P(AorB)=P(A)+P(B)

When P(A)=0.16P(B)=0.29P(C)=1−P(AorB)P(C)=1−P(A)+P(B)P(C)=0.55

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