is my solution correct? 5 boy-girl couples arrive in a restaurant. The 10 customers take up random sits at a round table. Let X be the number of couples that end up in adjacent seats. What is the variance of X? prob. of couples ending up in adjacent seats = 1/5 n = 10 binomial case so var(x) = np(1-p) var(x) = 10(1/5)(4/5) = 1.5
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.
is my solution correct?
5 boy-girl couples arrive in a restaurant. The 10 customers take up random sits at a round table. Let X be the number of couples that end up in adjacent seats. What is the variance of X?
prob. of couples ending up in adjacent seats = 1/5
n = 10
binomial case so var(x) = np(1-p)
var(x) = 10(1/5)(4/5) = 1.5
Given:
n = 10
probability of couples (p) = 1/5
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