The next three questions (8 to 10) refer to the following We have a small deck o

Question

The next three questions (8 to 10) refer to the following We have a small deck of ten cards. Five of the cards are red, three are blue and two are green. We randomly select four cards from the deck with replacement. That is, after we select a card and record the colour, we replace the card in the deck and thoroughly shuffle it before we select another card. 8. Let X be the number of blue cards that are selected. The distribution of X is: (A) binomial with parameters n 4 and p 0.1. (B) binomial with parameters n 10 and p 0.3. (C) binomial with parameters n 10 and p 0.4. (D) binomial with parameters n-4 and p 0.3. (E) approximately normal with parameters ? 1.2 and ? = 0.92. 9. Let A be the event that the first selected card is the only red card in our four selections. Which of the following events is mutually exclusive of the event A? (A) second card selected is blue (B) no green cards are selected (C) third selected card is the only green card (D) same number of red and blue cards are selected (E) same number of blue and green cards are selected 10. Now suppose that, instead of selecting four cards, we repeatedly select cards with re- placement (replacing the card and shuffling the deck after each draw) until we draw a green card for the first time. What is the probability that we draw our first green card on the fifth draw? (A) 0.0819 (B) 0.4096 (C) 0.1342 (D) 0.0554 (E) 0.1746

Explanation / Answer

8) Here n = 4, p = 3/10 = 0.3

Option D is Correct

9) Option A is Correct

Second card selected is blue

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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