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Author Question: For a binomial distribution, if the probability of success is .48 on the first trial, what is the ... (Read 98 times)

TVarnum

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  • Posts: 548
on: Jun 24, 2018
For a binomial distribution, if the probability of success is .48 on the first trial, what is
  the probability of failure on the second trial?
 
  What will be an ideal response?

Question 2

The following data represent the scores of 50 students on a statistics exam. The mean
  score is 80.02, and the standard deviation is 11.9.
 
  39 51 59 63 66 68 68 69 70 71
  71 71 73 74 76 76 76 77 78 79
  79 79 79 80 80 82 83 83 83 85
  85 86 86 88 88 88 88 89 89 89
  90 90 91 91 92 95 96 97 97 98
  What percentage of the scores lies within one standard deviation of the mean? two
  standard deviations of the mean? three standard deviations of the mean? Based on these
  percentages, do you believe that the distribution of scores is mound-shaped and
  symmetric? Explain.


Jmfn03

  • Sr. Member
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  • Posts: 323
Reply #1 on: Jun 24, 2018
Answer to Question 1

Since the probability of success remains the same from trial to trial, the probability of success on the second trial is
.48, so the probability of failure on the second trial is 1 -.48 = .52.

Answer to Question 2

74 of the scores lie within one standard deviation of the mean, 96 within two standard deviations, and 98
within three standard deviations. These percentages are close to those given in the Empirical Rule, so the
distribution is roughly mound-shaped and symmetric, though obviously skewed slightly to the left.


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