Statistics Probability Distributions

• Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.
• No, all probabilities are not be between 0 and 1 inclusive
• No, the sum of all the probabilities is not 1.
• Yes, because the distribution is symmetric

• Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.
• No, all probabilities are not be between 0 and 1 inclusive
• No, the sum of all the probabilities is not 1.
• Yes, because the distribution is symmetric

• Mean =7.92
  Variance =  2.6928
  Standard Deviation = 1.64
• Mean = 12 
  Variance = .66
  Standard Deviation = .44
• Mean = 12
  Variance = 7.92
  Standard Deviation = 2.814
• Mean =7.92
  Variance = 1.64
  Standard Deviation = 2.6928 

• Not a binomial experiment
• Yes. n = 8
  p = .85 
  q = .15
   x = 0, 1, 2, 3, 4, 5, 6, 7, 8
• Yes. n = 8
  p = .15 
  q = .85
   x = 0, 1, 2, 3, 4, 5, 6, 7, 8
• Yes. n = 8
  p = .85 
  q = .15
   x = 8

• Mean = 5.5 
  Variance =  1.57
  Standard Deviation = 2.475
• Mean = 5.0 
  Variance = 5.5
  Standard Deviation = 2.345
• Mean = 10
  Variance = .55
  Standard Deviation = .45
• Mean = 5.5 
  Variance = 2.475 
  Standard Deviation = 1.57 

• Discrete
• Continuous

A company states that 2% of its computers are returned for defects.  We take a sample of 100 computers to find the probability of 10 being defective.  Is this a binomial distribution?

• No because there is not a fixed number of trials.

• No because their are more than 2 outcomes.

• Yes since there are a fixed number of independent trials, outcomes in 2 categories, and the probability of defect is constant.

• No since computers would not be independent.

On an eight question multiple choice quiz with 4 answers for each question, what is the probability of guessing and getting 6 correct answers?

• .004

• .109

• .003

• .9996

The table represents the probability of guessing correct on a 5 question true-false quiz.  Find the probability for at least 4 questions correct.

• .03125

• .15625

• .3125

• .1875

The table represents the probability of guessing correct on a 5 question true-false quiz. Find the mean number of questions one gets correct when guessing.

• 2.5

• 3

• 3.5

• 1.5