A survey is done to prove effects of a medication on 100 children of different r

Question

A survey is done to prove effects of a medication on 100 children of different races. There are 2 levels of effects(Positive or Negative) and 2 types of races Asian and African. Asian and Positive = 20, Asian and negatives 10 African and Positive =30, African and Negative-40 The 2X2 table is given below. Effect Positive Negative Asian 20 African 30 Let A=Negative effect 10 Race 40 B= African Race 1. Find the probability of getting positive effect. 2. Find the probability of getting an Asian race and negative effect 3. Find the probability of getting a negative effect or an African race? 4. Given a child is an African, find the probability of getting a negative effect? 5. Is being an African child independent of having a negative effect? Why?

Explanation / Answer

Solution:-

1) The probbaility of getting positive effect is 0.50

Total number of children showing positive effects = 50

The probbaility of getting positive effect = 50/100 = 0.50

2) The probability of getting an asian and negative effect is 0.10

Total number of children showing asian and negative effects = 10

The probability of getting an asian and negative effect = 10/100 = 0.10

3) The probability of getting a negative effect or an african race is 0.80.

The number of children getting a negative or an african race = 50 + 30 = 80

The probability of getting a negative effect or an african race = 80/100 = 0.80

4) If child is an african, then the probability of getting a negative effect is 0.5714.

Number of child that are african = 70

Number of child who are afrcian and shows negative effect = 40

If child is an african, then the probability of getting a negative effect = 40/70 = 0.5714

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.