During 2010, the United States performed its every-ten-year census. Suppose that

Question

During 2010, the United States performed its every-ten-year census. Suppose that the Census Bureau sampled (names 6enerated by the computer, with replacement) 1000 residents of Massachusetts (population: 6,000,000) and asked them to fill out a more detailed census form. Let X = the number of people in this sample who live in the greater Boston (Massachusetts) area (population: 2,000,000). Then (circle your answer and explain your choice): (a) X is a binomial random variable with n = 6,000,000 and theta = 1/3. (b) X is not a binomial random variable since the events "Massachusetts resident" and "greater Boston resident" are not independent. (c) X is a binomial random variable with n = 1000 and theta = 1/3. (d) X is not a binomial random variable because there are more than two outcomes with respect to where a person might live. (e) X is a binomial random variable with n = 1000 and theta = 1/6000.

Explanation / Answer

X is binomial distributiion with n=1000, p = 1/3

as X is the number of people in sample who live in greater Boston ,

n = now number of sample = 1000

p = proportion of people living in greater Boston = 2000000/6000000 = 1/3

hence

option C) is correct

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

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