1. State and prove Baye’s Theorem.
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.
1.
State and prove Baye’s Theorem.
2.
Define the following distribution.
a. Poisson distribution
b. Binomial distribution
c. Normal distribution
3.
The mean and standard deviation for the life time of a population of light bulbs are 1200 and 50 hours respectively. Assuming these lifetimes are
4.
Define
a. Chi-square test of Goodness of fit.
b. F-Test:
5.
Find the Mean & Median of the following data:
CI: 0-8 8-16 16-24 24-32 32-40 40-48 48-56 56-64
f: 5 7 15 25 20 15 10 3
6.
The following data is given for X and Y.
X : 2 3 5 7 10 12
Y: 5 9 12 14 15 20 calculate Karl Pearson’s coefficient of
7.
Find the regression lines (both) from the following data:
X: 1 2 3 4 5 6
Y: 3 5 6 8 9 11
Also find y for x = 2.5 and x for y=7
8
Explain summary of any module of your choice with reference
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