Owner-Occupied Housing Units In the 2010 US Census, we learn that 65% of all hou

Question

Owner-Occupied Housing Units In the 2010 US Census, we learn that 65% of all housing units are owner occupied while the rest are rented. Use this information to find the following probabilities. (a) If we take a random sample of 16 housing units, find the probability that exactly 12 of them are owner-occupied Round your answer to four decimal places. P(X = 12) = the absolute tolerance is +-0.001 SHOW HINT LINK TO TEXT (b) If we take a random sample of 16 housing units, find the probability that 14 or more of them are owner-occupled Round your answer to four decimal places the absolute tolerance is +/-0.003

Explanation / Answer

X ~ Binomial (n,p)

Where n = 16 , p = 0.65

Binomial probability distribution is

P(X) = nCx px (1-p)n-x

a)

P( X = 12) = 16C12 0.6512 0.354

= 0.1553

b)

P( X >= 14) = P( X = 14) + P( X = 15) + P( X = 16)

= 16C14 0.6514 0.352 +16C15 0.6515 0.35 +16C16 0.6516 0.350

= 0.0451

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

---

---

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