[Answered] MATH 225N Week 4 Assignment: Basic Probability -(2023)


Course  

MATH 225N Statistical Reasoning For The Health Sciences


Instructions 

  1. Question: Which of the pairs of events below is dependent? Select the correct answer below:
  2. Question: Identify the option below that represents dependent events. Select the correct answer below:
  3. Question: … shows mutually exclusive events? Select the correct answer below:
  4. Question: Which of the pairs of events below is mutually exclusive? Select the correct answer below:
  5. Question: A deck of cards contains RED cards numbered 1,2,3,4,5,6, BLUE cards numbered 1,2,3,4,5, and GREEN cards numbered 1,2,3,4. If a single card is … at random, what is the probability that the card has an ODD number?
  6. Question: Hector is a baseball fan but wants to watch something different. There are 5basketball games, 2 football games, and 4hockey games that he can choose to watch. If Hector randomly chooses a game, what is the probability that it is a basketball game?
  7. Question: There are 26cards in a hat, each of them containing a different letter of the alphabet. If one card is … at random, what is the probability that it is not between the letters L and P, inclusive?
  8. Question: A spinner contains the numbers 1through 80. What is the probability that the spinner will land on a number that is not a multiple of 12?
  9. Question: An art collector wants to purchase a new piece of art. She is … in 5paintings, 6 vases, and 2 If she … the piece at random, what is the probability that she … a painting?
  10. Question: Boris is taking a quiz for an online class. For the quiz, the system randomly assigns 2high-difficulty questions, 7 moderate-difficulty questions, and 6 low-difficulty questions. What is the probability that Boris is assigned a moderate-difficulty question first?
  11. Question: A spinner contains the numbers 1through 40. What is the probability that the spinner will land on a number that is not a multiple of 6? Give your answer as a fraction.
  12. Question: A spinner contains the numbers 1through 50. What is the probability that the spinner will land on a number that is not a multiple of 4?
  13. Question: Identify the parameters pand n in the following binomial distribution scenario. The probability of winning an arcade game is 718 and the probability of losing is 0.282. If you play the arcade game 20 times, we want to know the probability of winning more than 15 times. (Consider winning as a success in the binomial distribution.)
  14. Question: A weighted coin has a 55probability of landing on heads. If you toss the coin 14 times, what is the probability of getting heads exactly 9 times? (Round your answer to 3 decimal places if necessary.)
  15. Question: Identify the parameter pin the following binomial distribution scenario. The probability of buying a movie ticket with a popcorn coupon is 546 and without a popcorn coupon is 0.454. If you buy 27 movie tickets, we want to know the probability that exactly 15 of the tickets have popcorn coupons. (Consider tickets with popcorn coupons as successes in the binomial distribution.)
  16. Question: A softball pitcher has a 64probability of throwing a strike for each pitch. If the softball pitcher throws 20 pitches, what is the probability that exactly 13 of them are strikes?
  17. Question: Identify the parameter nin the following binomial distribution scenario. A basketball player has a 429 probability of making a free throw and a 0.571 probability of missing. If the player shoots 20 free throws, we want to know the probability that he makes no more than 12 of them. (Consider made free throws as successes in the binomial distribution.)

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