Question 1

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Dogs

Use the frequency distribution to construct a probability distribution.

The number of dogs per household in a small town.

Dogs 0 1 2 3 4 5
Households 1409 443 176 60 22 14
  1.  
    x P open parentheses x close parentheses
    0
    1
    2
    3
    4
    5
  2. Find the probability of randomly selecting a household that has fewer than two dogs.
    P open parentheses x less than 2 close parentheses space equals 

  3. Find the probability of randomly selecting a household that has at least one dog.
    P open parentheses x greater or equal than 1 close parentheses space equals 

  4. Find the probability of randomly selecting a household that has between one and three dogs, inclusive.
    P open parentheses 1 less or equal than x less or equal than 3 close parentheses space equals 

  5. Find the mean to 3 significant digits.
    mu equals 

  6. Find the variance to 3 significant digits.
    sigma squared equals 
  7. Find the standard deviation to 3 significant digits.
    sigma equals 

 

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