Solve the following problems. 1. A class adviser surveys 35 of his students on the kind of pets they have at home. He found that 15 have dogs, 12 have cats, and 8 have birds. Five have dogs and cats, 4 have dogs and birds, and 2 have cats and birds. If no one has all three kinds of pets, how many students have none of these pets? Draw a Venn diagram. 2. There are 12 chips numbered from 11 to 22 in a bag. A chip is drawn at random from the bag. Let A be the event that the number is smaller than 16, B be the event that a number is a composite number. Find A ∩ B. Draw a Venn diagram.
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.
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