text: # Statistics
  
  Anonymous
  account_balance_wallet \$20
  
  Question description
  
  quiz 44 questions
  
  1. Solve for probabilities in a continuous uniform distribution
  2. Solve for probabilities in a normal distribution using z scores and for the mean, the standard deviation, or a value of x in a normal distribution when given information about the area under the normal curve
  3. Solve problems from the discrete binomial distribution using the continuous normal distribution and correcting for continuity
  
  1. Solve for probabilities in a continuous uniform distribution
  2. Solve for probabilities in a normal distribution using z scores and for the mean, the standard deviation, or a value of x in a normal distribution when given information about the area under the normal curve
  3. Solve problems from the discrete binomial distribution using the continuous normal distribution and correcting for continuity
  
  uoscar
  School: UIUC
  
  The solution is attached.Please, give me feedback.
  
  QUESTION 1
  1. The weight of softballs is uniformly distributed over the interval of
  8 to 12 ounces, inclusively. What is the probability that a randomly selected softball will weigh
  between 13 and 15 ounces?
  
  0.250
  0.500
  0.375
  0.000
  1.000
  
  QUESTION 2
  1. If the weight of softballs is uniformly distributed over the interval of
  8 to 12 ounces, inclusively then what is the probability that a randomly selected softball will
  weigh more than 10 ounces?
  0.750
  0.000
  0.333
  0.500
  0.900
  
  QUESTION 3
  1. The time it takes (in minutes) to change a flat tire is uniformly distributed. The time is
  distributed over a uniform interval of 20 to 30 minutes, inclusively. What is the probability that
  the change of a flat tire will be completed in 21.75 to 24.25 minutes?
  0.250
  0.333
  
  0.375
  0.000
  1.000
  QUESTION 4
  Z is a normally distributed random variable. The distribution of Z has a mean equal to 0 and a standard
  deviation equal to 1. What is the probability that z will be less than 1.3 or P(Z -1.1)?
  0.36432
  0.8643
  0.1357
  -0.1357
  -0.8643
  QUESTION 6
  The number of miles a Ford Explorer is driven before needing a major repair is known to be normally
  distributed with a mean of 40,000 miles and a standard deviation of 5,000 miles. What is the probability
  that a randomly selected Explorer will travel at least 50,000 miles before needing a major repair?
  0.0228
  0.9772
  0.5000
  
  0.4772
  1.0000
  QUESTION 7
  1. The net gain on an investment in gold is normally distributed with a mean of \$10,000 and a
  standard deviation of \$5,000. What is the probability that an investor will realize a net gain of at
  least \$5,000 on his investment in gold?
  0.1859
  0.3413
  0.8413
  0.4967
  0.5000
  
  QUESTION 8
  1. The diameter of flex piping used in commercial heating systems is normally distributed with a
  mean of 30.5 inches and a standard deviation of 0.20 inches. What is the probability that a
  randomly selected section of flex pipe will have a diameter of less than 31 inches?
  0.00
  0.9938
  .8289
  .5987
  QUESTION 9
  1. An apple juice producer buys all his apples from a conglomerate of apple growers in one
  northwest state. The amount of juice squeezed from each of these apples is approximately
  normally distributed with a mean of 2.25 ounces and a standard deviation of 0.15 ounce.
  What is the probability that a randomly selected apple will contain between 2.00 and 3.00
  ounces of juice?
  .0475
  .4525
  
  .9525
  .9554
  
  QUESTION 10
  1. An apple juice producer buys all his apples from a conglomerate of apple growers in one
  northwest state. The amount of juice squeezed from each of these apples is approximately
  normally distributed with a mean of 2.25 ounces and a standard deviation of 0.15 ounce.What is
  the probability that a randomly selected apple will contain between 2.00 and 2.15 ounces?
  .4525
  .2039
  .2486
  .7011
  QUESTION 11
  1. The organizers of the "Holy Smokes Marathon" provide bottled water to the participants and
  spectators during the race. Based on data collected in the past, the organizers know that the
  number of bottles of water passed out is normally distributed with a mean of 200 bottles and a
  standard deviation of 20 bottles. Based on this information, what is the probability that at this
  year's race they will hand out between 180 and 210 bottles of water?
  .6915
  .1915
  .5328
  .1587
  QUESTION 12
  1. The starting salaries of individuals with a B.A. in Art History are normally distributed with a mean
  of \$40,000 and a standard deviation of \$5,000. If an individual with a B.A. in Art History is
  randomly selected, what is the probability that his or her starting salary will b...
  
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  Anonymous
  Excellent job
  
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explanation: The provided text is a set of multiple-choice questions and answers related to statistics, specifically focusing on probability calculations in continuous uniform and normal distributions. Each question is followed by several answer options, and the correct answer is indicated.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # Statistics
  
  Anonymous
  account_balance_wallet \$20
  
  Question description
  
  quiz 44 questions
  
  1. Solve for probabilities in a continuous uniform distribution
  2. Solve for probabilities in a normal distribution using z scores and for the mean, the standard deviation, or a value of x in a normal distribution when given information about the area under the normal curve
  3. Solve problems from the discrete binomial distribution using the continuous normal distribution and correcting for continuity
  
  1. Solve for probabilities in a continuous uniform distribution
  2. Solve for probabilities in a normal distribution using z scores and for the mean, the standard deviation, or a value of x in a normal distribution when given information about the area under the normal curve
  3. Solve problems from the discrete binomial distribution using the continuous normal distribution and correcting for continuity
  
  uoscar
  School: UIUC
  
  The solution is attached.Please, give me feedback.
  
  QUESTION 1
  1. The weight of softballs is uniformly distributed over the interval of
  8 to 12 ounces, inclusively. What is the probability that a randomly selected softball will weigh
  between 13 and 15 ounces?
  
  0.250
  0.500
  0.375
  0.000
  1.000
  
  QUESTION 2
  1. If the weight of softballs is uniformly distributed over the interval of
  8 to 12 ounces, inclusively then what is the probability that a randomly selected softball will
  weigh more than 10 ounces?
  0.750
  0.000
  0.333
  0.500
  0.900
  
  QUESTION 3
  1. The time it takes (in minutes) to change a flat tire is uniformly distributed. The time is
  distributed over a uniform interval of 20 to 30 minutes, inclusively. What is the probability that
  the change of a flat tire will be completed in 21.75 to 24.25 minutes?
  0.250
  0.333
  
  0.375
  0.000
  1.000
  QUESTION 4
  Z is a normally distributed random variable. The distribution of Z has a mean equal to 0 and a standard
  deviation equal to 1. What is the probability that z will be less than 1.3 or P(Z -1.1)?
  0.36432
  0.8643
  0.1357
  -0.1357
  -0.8643
  QUESTION 6
  The number of miles a Ford Explorer is driven before needing a major repair is known to be normally
  distributed with a mean of 40,000 miles and a standard deviation of 5,000 miles. What is the probability
  that a randomly selected Explorer will travel at least 50,000 miles before needing a major repair?
  0.0228
  0.9772
  0.5000
  
  0.4772
  1.0000
  QUESTION 7
  1. The net gain on an investment in gold is normally distributed with a mean of \$10,000 and a
  standard deviation of \$5,000. What is the probability that an investor will realize a net gain of at
  least \$5,000 on his investment in gold?
  0.1859
  0.3413
  0.8413
  0.4967
  0.5000
  
  QUESTION 8
  1. The diameter of flex piping used in commercial heating systems is normally distributed with a
  mean of 30.5 inches and a standard deviation of 0.20 inches. What is the probability that a
  randomly selected section of flex pipe will have a diameter of less than 31 inches?
  0.00
  0.9938
  .8289
  .5987
  QUESTION 9
  1. An apple juice producer buys all his apples from a conglomerate of apple growers in one
  northwest state. The amount of juice squeezed from each of these apples is approximately
  normally distributed with a mean of 2.25 ounces and a standard deviation of 0.15 ounce.
  What is the probability that a randomly selected apple will contain between 2.00 and 3.00
  ounces of juice?
  .0475
  .4525
  
  .9525
  .9554
  
  QUESTION 10
  1. An apple juice producer buys all his apples from a conglomerate of apple growers in one
  northwest state. The amount of juice squeezed from each of these apples is approximately
  normally distributed with a mean of 2.25 ounces and a standard deviation of 0.15 ounce.What is
  the probability that a randomly selected apple will contain between 2.00 and 2.15 ounces?
  .4525
  .2039
  .2486
  .7011
  QUESTION 11
  1. The organizers of the "Holy Smokes Marathon" provide bottled water to the participants and
  spectators during the race. Based on data collected in the past, the organizers know that the
  number of bottles of water passed out is normally distributed with a mean of 200 bottles and a
  standard deviation of 20 bottles. Based on this information, what is the probability that at this
  year's race they will hand out between 180 and 210 bottles of water?
  .6915
  .1915
  .5328
  .1587
  QUESTION 12
  1. The starting salaries of individuals with a B.A. in Art History are normally distributed with a mean
  of \$40,000 and a standard deviation of \$5,000. If an individual with a B.A. in Art History is
  randomly selected, what is the probability that his or her starting salary will b...
  
  flag Report DMCA
  Review
  
  Anonymous
  Excellent job
  
  Brown University
  
  1271 Tutors
  
  California Institute of Technology
  
  2131 Tutors
  
  Carnegie Mellon University
  
  982 Tutors
  
  Columbia University
  
  1256 Tutors
  
  Dartmouth University
  
  2113 Tutors
  
  Emory University
  
  2279 Tutors
  
  Harvard University
  
  599 Tutors
  
  Massachusetts Institute of Technology
  
  2319 Tutors
  
  New York University
  
  1645 Tutors
  
  Notre Dam University
  
  1911 Tutors
  
  Oklahoma University
  
  2122 Tutors
  
  Pennsylvania State University
  
  932 Tutors
  
  Princeton University
  
  1211 Tutors
  
  Stanford University
  
  983 Tutors
  
  University of California
  
  1282 Tutors
  
  Oxford University
  
  123 Tutors
  
  Yale University
  
  2325 Tutors
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The provided text is a set of multiple-choice questions and answers related to statistics, specifically focusing on probability calculations in continuous uniform and normal distributions. Each question is followed by several answer options, and the correct answer is indicated.
  
  Label: multiple-question-and-answer