52% of all the town's residents own a dog and 66% own a cat. Of the dog owners 44% also own a cat. If a town resident is chosen at random find: (round to 4 decimal places where possible) a. P(Own a Dog) = b. P(Own a Cat) = c. P(Own a Cat and a Dog) = d. P(Own a Dog GIVEN Own a Cat) =
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
52% of all the town's residents own a dog and 66% own a cat. Of the dog owners 44% also own a cat. If a town resident is chosen at random find: (round to 4 decimal places where possible)
a. P(Own a Dog) =
b. P(Own a Cat) =
c. P(Own a Cat and a Dog) =
d. P(Own a Dog GIVEN Own a Cat) =
Provided information is, 52% of all the town's residents own a dog and 66% own a cat. Of the dog owners 44% also own a cat.
a. P(Own a Dog)= 0.5200
b. P(Own a Cat)= 0.6600
P(Cat owners |Dog owners)= 0.4400
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