MATH 302 MATH302 Quiz 2 Answers (APUS)

MATH 302 MATH302 Quiz 2 Answers (APUS)

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MATH 302 MATH/302 MATH302 Quiz 2 (APUS)

    1. The result of tossing a coin once will be either head or tail. Let A and B be the events of observing head and tail, respectively. The events A and B are:
    2. If two events are mutually exclusive, what is the probability that one or the other occurs?
    3. If one tosses a coin enough times, the proportion of "heads" will approach 0.5. This is an example of:
    4. A furniture manufacturer offers bookcases in 5 different sizes and 3 different colors. If every color is available in every size, then the total number of different bookcases is
    5. Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30.

      What is the probability that fewer than 40 batteries will last at least 8 hours?
    6. A pet supplier has a stock of parakeets of which 10% are blue parakeets. A pet store orders 3 parakeets from this supplier. If the supplier selects the parakeets at random, what is the chance that the pet store gets exactly one blue parakeet?
    7. There are two types of random variables, they are
    8. The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months.
    9. A multiple choice quiz consists of 6 questions, each with 4 possible answers. If a student guesses at the answer to each question, then the mean number of correct answers is
  • Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
    Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
    For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
    The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months.
    1. Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
      Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
      For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

      Suppose that the probability that a new medication will cause a bad side effect is 0.03. If this medication is given to 150 people, what is the probability that more than three of them will experience a bad side effect? Place your answer, rounded to 4 decimal places, in the blank.
    2. Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
      Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
      For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

      In a history class, students take a weekly multiple choice quiz consisting of 6 questions, each with 4 possible answers. If a student randomly guesses at the answer to each question for every quiz, then what is the mean number of correct answers the student will get on each quiz?

      Round your answer to one decimal place as necessary.
  • Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
    Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
    For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
    What probability value would be needed to complete the following probability distribution?
  • Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
    Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
    For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
    An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, define the following events:
     
     = chocolate chosen
     = strawberry chosen
     = vanilla chosen
      = ice cream on a cone
    ice cream in a cup

    Find the probability that the ice cream was sold on a cone and was chocolate flavor.  Place your answer, rounded to 4 decimal places, in the blank
  • Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
    Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
    For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
    An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, define the following events:
     
     = chocolate chosen
     = strawberry chosen
     = vanilla chosen
      = ice cream on a cone
    ice cream in a cup

    Find the probability that the ice cream was sold on a cone and was chocolate flavor.  Place your answer, rounded to 4 decimal places, in the blank.
  • Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
    Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
    For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
    Mothers Against Drunk Driving (MADD) is a very visible group whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Five hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below:
  1. Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
    Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
    For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

    The president of a bank is attempting to arrange a meeting with the three vice presidents for a Friday weekly meeting. He believes that each of these three busy individuals, independently of the others, has about 40% chance of being able to attend the meeting. What is the probability that none of the three vice presidents can attend the meeting? Place your answer, rounded to 3 decimal places, in the blank.
  2. Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
    Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
    For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

    The president of a bank is attempting to arrange a meeting with the three vice presidents for a Friday weekly meeting. He believes that each of these three busy individuals, independently of the others, has about 40% chance of being able to attend the meeting. If the meeting will be held only if every vice president can attend, what is the probability that the meeting will take place? Place your answer, rounded to 3 decimal places, in the blank
  3. Given that events A and B are independent and that P(A) = 0.8 and P(B|A) = 0.4, then P(A and B) = 0.32.
  4. The expected number of tails in 500 tosses of an unbiased coin is 200
  5. P(A)=1-P(A) IS THE:

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