A local radio station took a poll of 90 of its listeners to find out whether they like to watch Mariners games, Seahawks games, or Sounders games. They found that 36 like Mariners games, 59 like Seahawks games, 48 like Sounders games, 25 like Mariners games and Seahawks games, 17 like Mariners games and Sounders games, 29 like Seahawks games and Sounders games, and 11 like all three. How many of the people who took the poll only like Sounders games? How many people like Mariners games and Seahawks games but not Sounders games? How many people don't like any of the three types of games?
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.
A local radio station took a poll of 90 of its listeners to find out whether they like to watch Mariners games, Seahawks games, or Sounders games. They found that 36 like Mariners games, 59 like Seahawks games, 48 like Sounders games, 25 like Mariners games and Seahawks games, 17 like Mariners games and Sounders games, 29 like Seahawks games and Sounders games, and 11 like all three.
How many of the people who took the poll only like Sounders games?
How many people like Mariners games and Seahawks games but not Sounders games?
How many people don't like any of the three types of games?
let
M be the listeners who like mariners games
SE be the listeners who like seahawks games,
SO be the listeners who like sounders games,
MSE be the listeners who like both mariners and seahawks games,
MSO be the listeners who like both mariners games and sounders games,
SESO be the listeners who like both seahawks and sounders games
MSESO be the listeners who like three of them.
according to question, we have given that
using given data, we will draw venn diagram
Step by step
Solved in 3 steps with 1 images
