3. Independent Events Based on a Saint Index survey, when 1000 adults were asked

Question

3. Independent Events Based on a Saint Index survey, when 1000 adults were asked to identify the most unpopular projects for their hometown, 54% included Wal-Mart among their choices. Consider the probability that among 30 different adults randomly selected from the 1000 who were surveyed, there are at least 18 who include Wal-Mart. Given that the subjects surveyed were selected without replacement, are the 30 selections independent? Can they be treated as being independent? Can the probability be found by using the binomial probability formula? Explain.

Explanation / Answer

Solution:-

Yes they can be treated as independent.

The probability can be found by using binomial probability formula:-

The probability of chossing walmart choice = 54/100 = 0.54

Total number of trials = 30

Favorable outcomes = 18

By applying binomial distribution:-

P(x, n, p) = nCx*p x *(1 - p)(n - x)

P(x > 18) = 0.318724

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

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