Homework 5.1 Statistics
3. Which of the following numbers could be the probability 01 an event? 0.29, - 0.4,0.03.1.0.1.19 The numbers that could be a probability of an event are . (Use a comma to separate answers as needed.) 4. In a certain card game, the probability that a player is dealt a particular hand is 0.36. Explain what this probability means. If you play this card game 100 times. will you be dealt this hand exactly 36 times? Why or why not? Choose the correct answer below. 7- A. The probability 036 means that exactly 36 out of every 100 dealt hands will be that particular hand. Yes, you will be dealt this hand exactly 36 times since the probability refers to shorttenn behavior, not longterm. - B. The probability 0.36 means that exactly 36 out of every 100 dealt hands will be that particular hand. Yes, you will be dealt this hand exactly 36 times since the probability refers to longterm behavior. not short-term. '36. The probability 0.36 means that approximately 36 out of every 100 dealt hands will be that particular hand. No. you will not be dealt this hand exactly 36 times since the probability refers to what is expected in the long-term. not short-term. - D. The probability 036 means that approximately 36 out of every 100 dealt hands will be that particular hand. No, you will not be dealt this hand exactly 36 times since the probability refers to what is expected in the snorttem'I, not longterm. 5. According to a certain country's department of education, 41.9% of 3-year-olds are enrolled in day care. What is the probability that a randomly selected 3-year-old is enrolled in day care? The probability that a randomly selected 3year-old is enrolled in day care is . (Type an integer or a decimal.) 6. A survey of 600 randomly selected high school students determined that 164 play organized sports. (a) What is the probability that a randomly selected high school student plays organized sports? (b) interpret this probability. (a) The probability that a randomly selected high school student plays organized sports is :I. (Round to the nearest thousandth as needed.) (b) Choose the correct answer below. (Type a whole number.) 0 A. If 1,000 high school students were sampled, it would be expected that exactly of them play organized sports. O 3- lf 1,000 high school students were sampled, it would be expected that about of them play organized sports. 7. In a national survey college students were asked, "How often do you wear a seat belt when riding in Ros use Fri uon e a car driven by someone else?" The response frequencies appear in the table to the right. (a) Never 128 Constmct a probability model for seat-belt use by a passenger. (b) Would you consider it unusual to Rarely 309 find a college student who never wears a seat belt when riding in a car driven by someone else? Sometimes 567 Most of the time 1122 Always 2468 (a) Complete the table below. Res nso Prob: ti Never Round to the nearest thousandth as needed.) ( Rarely (Round to the nearest thousandth as needed.) ( Sometimes Round to the nearest thousandth as needed.) Most of the time (Round to the nearest thousandth as needed.) Always (Round to the nearest thousandth as needed.) (b) Would you consider it unusual tond a college student who never wears a seat belt when riding in a car driven by someone else? 0 A. No, because the probability of an unusual event is 0. O B. Yes, because P(never) 0.05. O D. Yes, because P(shoplifting larcenies)
