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 normally distributed, what is the probability that a light bulb will last over 1500 hours?
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 correlation between X &Y.
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