Let X1, X2, X3, X4, X5, and X6 denote the numbers of blue, brown, green, orange,...

70.2K

Verified Solution

Question

Basic Math

Let X1, X2, X3, X4, X5, and X6 denote the numbers of blue,brown, green, orange, red, and yellow M&M candies,respectively, in a sample of size n. Then these Xi's have amultinomial distribution. Suppose it is claimed that the colorproportions are p1 = 0.22, p2 = 0.13, p3 = 0.18, p4 = 0.2, p5 =0.13, and p6 = 0.14. (a) If n = 12, what is the probability thatthere are exactly two M&Ms of each color? (Round your answer tofour decimal places.) Correct: Your answer is correct. (b) For n =20, what is the probability that there at most eight orangecandies? [Hint: Think of an orange candy as a success and any othercolor as a failure.] (Round your answer to three decimal places.)(c) In a sample of 20 M&Ms, what is the probability that thenumber of candies that are blue, green, or orange is at least 8?(Round your answer to three decimal places.)

Answer & Explanation Solved by verified expert
3.7 Ratings (642 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students