This quiz works best with JavaScript enabled. Home > English Grammar > Grammar > Advanced > Probability Models – Quiz 7 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Probability Models Quiz 7 (30 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Given that families continue to have children until they get a girl, what is the expected number of children per family? Standard deviation? A) Expected Value = 2 St. Dev. =1.414. B) Expected Value = 2 St. Dev. = 2. C) Expected Value = 0.5 St. Dev. = 1.414. D) Expected Value = 0.5 St. Dev. = 2. Show Answer Correct Answer: A) Expected Value = 2 St. Dev. =1.414. 2. Which of the following is FALSE about binomial probabilities? A) Trials must be fixed. B) The probability of success must be 0.50. C) Their distributions are approximately symmetric. D) Events musts be independent. Show Answer Correct Answer: B) The probability of success must be 0.50. 3. Find the probability of achieving success with the event:Rolling a die twice in a row and getting two threes. A) 1/6. B) 1/12. C) 1/36. D) 1/18. Show Answer Correct Answer: C) 1/36. 4. A marksman has 80% accuracy hitting targets at 1, 000 yards. What is the probability that he will make exactly 18 of his next 20 shots? A) 0.1369. B) 0.4096. C) 0.7373. D) 0.032. Show Answer Correct Answer: A) 0.1369. 5. The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25. What is the mean of the sampling distribution? A) 25. B) 40. C) 8. D) 400. Show Answer Correct Answer: D) 400. 6. How is uniform probability used in statistics? A) Uniform probability means no outcome of a random event is considered more likely than others. B) Uniform probability means each outcome of a random event is considered less likely than the one before. C) Uniform probability means every outcome of a random event is considered equally likely. D) Uniform probability means each outcome of a random event is considered to have a different chance of happening. Show Answer Correct Answer: C) Uniform probability means every outcome of a random event is considered equally likely. 7. A model predicts that a fair coin will land heads up 50% of the time. If you flip the coin 100 times and get 48 heads, is this result consistent with the model? A) True. B) FalseTagsCCSS.HSS.IC.A.2. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 8. About 12% of children are believed to have nearsightedness. A school tests the vision of 169 kindergarten students. How many do you expect to be nearsighted? A) 8. B) 12. C) 20. D) None of the above. Show Answer Correct Answer: C) 20. 9. Clara picks a card at random, puts it back, and then picks another card at random. A) Independent. B) Dependent. C) All the above. D) None of the above. Show Answer Correct Answer: A) Independent. 10. A number cube is weighted so that the faces 1, 2, or 3 are all twice as likely to occur as each of the faces labeled 4, 5, or 6. What statements must you add to P(1)=2/9, P(2)=2/9, P(3)=2/9 to make a complete probability model? A) P(4)=1/4, P(5)=1/4, P(6)= 1/12. B) P(4)=1/9, P(5)=1/9, P(6)= 2/9. C) P(4)=1/12, P(5)=1/12, P(6)= 1/4. D) P(4)=1/9, P(5)=1/9, P(6)= 1/9. Show Answer Correct Answer: D) P(4)=1/9, P(5)=1/9, P(6)= 1/9. 11. Which of the following expressions can be used to calculate the probability of two related events occurring? A) P(event 1 + 2). B) P(event 1) x P(event 2). C) P(event 1) + P(event 2). D) P(event) x 2. Show Answer Correct Answer: B) P(event 1) x P(event 2). 12. In 2010, an Angus Reid Public Opinion poll found that 56% of all Canadians admit to regularly swearing when they converse with friends (46% for Americans). A researcher plans to select a random sample of 200 Canadians from Montreal to further survey them about this topic. Verify that a Normal model is a useful approximation for the Binomial in this situation. A) Yes, np=112 and nq=88. B) No, np=112 and nq=99. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes, np=112 and nq=88. 13. Matilda is spinning a spinner with eight equal-sized sections numbered 1 through 8. She spins the spinner two times. What is the probability that Matilda's first spin will be an odd number and her second spin will be a number less than 3? A) 3/4. B) 3/16. C) 1/64. D) 1/8. Show Answer Correct Answer: D) 1/8. 14. If you flip a coin three times, what is the probability of getting heads all three times? A) $\frac{1}{4}$. B) $\frac{1}{8}$. C) $\frac{1}{2}$. D) $\frac{1}{6}$. Show Answer Correct Answer: B) $\frac{1}{8}$. 15. For college students, 30% are enrolled in math, 55% are enrolled in English, and 14% are enrolled in both. If a student is selected at random, find the probability that the student is enrolled in either mathematics or English, but not both. A) 71%. B) 57%. C) 85%. D) 29%. Show Answer Correct Answer: B) 57%. 16. 60% of the commercials aired on a network from 8 PM to 10 PM are 15 seconds long, 20% are 30 seconds long, and the rest are 60 seconds. What is the standard deviation? A) 16.4934 seconds. B) 18.5321 seconds. C) 17.4929 seconds. D) 19.0001 seconds. Show Answer Correct Answer: C) 17.4929 seconds. 17. Sandra spins the pointer of a spinner. The spinner has four equal sections labeled 1 to 4. What is the probability that the pointer will land on a number less than 5? A) Impossible. B) Unlikely. C) Equally Likely. D) Likely. E) Certain. Show Answer Correct Answer: E) Certain. 18. What is the probability of an event that cannot happen? A) 0.25 (twenty-five percent). B) 0 (zero probability). C) 0.5 (fifty percent). D) 1 (one hundred percent). Show Answer Correct Answer: B) 0 (zero probability). 19. What is the sum of the probabilities of all possible outcomes of an event? A) 0 (or 0%). B) 0.5 (or 50%). C) 1 (or 100%). D) 2 (or 200%). Show Answer Correct Answer: C) 1 (or 100%). 20. A computer chip manufacturer rejects 2% of the chips produced because they fail presale testing. If you have a random sample of 400 chips, what is the mean number of chips you expect to fail? A) 8. B) 80. C) 2. D) None of the above. Show Answer Correct Answer: A) 8. 21. Suppose you buy a ticket for $ 6 out of a lottery of 1000 tickets where the prize for the one winning is to be $ 800. How much money do you take home (after paying for it)? HINT:set up a probability model. A) -$ 5.20. B) $ 800. C) -$ 6. D) -$ 6.50. Show Answer Correct Answer: A) -$ 5.20. 22. A weather model predicts a 30% chance of rain each day. If it rains for 5 days in a row, should you question the model? A) No, because it always rains.TagsCCSS.HSS.IC.A.2. B) Yes, because the probability is too low for 5 consecutive rainy days. C) No, because rare events can still happen by chance. D) Yes, because the model is definitely wrong. Show Answer Correct Answer: C) No, because rare events can still happen by chance. 23. Gavin has 7 shirts, 5 pairs of pants, and 3 pairs of shoes. How many possible outcomes of 1 shirt, 1 pair of pants, and 1 pair of shoes are possible? A) 105. B) 315. C) 3. D) 15. Show Answer Correct Answer: A) 105. 24. Which is the best way to simulate choosing one student out of 12 to be the class president? A) Draw from a bag with 12 blue marbles. B) Spin a spinner with 12 sections. C) Roll a die twice. D) Flip a coin 6 times. Show Answer Correct Answer: B) Spin a spinner with 12 sections. 25. A student group sells 500 raffle tickets for $ 2 each. At the drawing the top prize will be a gift certificate for $ 100. Second prize will be a $ 50 gift card and there will be five 3rd prizes, each a $ 20 gift card. What is the expected value of a ticket? A) Lose an average of $ 10.00. B) Lose an average of $ 1.50. C) Lose an average of $ 5.50. D) Win an average of $ 2.00. Show Answer Correct Answer: B) Lose an average of $ 1.50. 26. Is this a binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let X = the number of aces you observe. A) Yes. B) No, the trials are not independent. C) No, there are more than 2 outcomes. D) None of the above. Show Answer Correct Answer: A) Yes. 27. What part of the venn diagram does $A\cup B$ A) Everything not in the middle. B) The middle. C) Everything inside of the two circles. D) Everything outside of the two circles. Show Answer Correct Answer: C) Everything inside of the two circles. 28. Ghazal is picking out a snack. She has a banana, an orange, an apple, and a pear to choose from. Which answer choice represents the sample space? A) Event. B) Banana, Orange, Apple, Pear. C) Apple. D) Picking a snack. E) Apple, Pear, Orange. Show Answer Correct Answer: B) Banana, Orange, Apple, Pear. 29. In a tree diagram, each branch represents: A) A prediction. B) A decision. C) A possible outcome. D) A rule. Show Answer Correct Answer: C) A possible outcome. 30. A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. A marble is chosen at random from the jar and replaced. Then a second marble is chosen at random. Find the probability of the first marble being green and the second marble being yellow. A) 8/121. B) 3/121. C) 6/121. D) 4/121. Show Answer Correct Answer: C) 6/121. ← PreviousNext →Related QuizzesGrammar QuizzesEnglish Grammar QuizzesProbability Models Quiz 1Probability Models Quiz 2Probability Models Quiz 3Probability Models Quiz 4Probability Models Quiz 5Probability Models Quiz 6Probability Models Quiz 8Case Marking Quiz 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books