Write a note on following 10X2=20) 1. Simple Random Sampling 2. Stratified Sampling 3. Standard Deviation 4. Poisson Distribution 5. Chi-Square Test 6. Differentiate between mutually exclusive and equally likely events 7. State the law of total probability 8. Differentiate between positive and negative correlation 9. Differentiate between one-tailed and two-tailed tests 10. Confidence interval (Marks-
Answer the following (Any 2 out of 3) 2X10=20) 1. Explain the different types of biological data with examples. 2. Explain the z-test and t-test. Compare their applications and assumptions. 3. Discuss the principles and use of analysis of variance (ANOVA) in randomized block designs. (Marks-
Answer the following (Any 6 out of 8) 6X5=30) 1. Describe the properties of arithmetic mean. 2. How do you calculate the median in a grouped data set? Explain the steps and solve the following data set: Class Frequency Interval 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 3. Explain the coefficient of variation and its importance. 4. Define probability, explain its importance in statistics, and describe the theorem of probability. 5. What is the binomial distribution? Provide a real-life example. 6. Differentiate between correlation and covariance in detail. 7. Define and differentiate between null and alternate hypotheses. 8. Compare different experimental designs with real-world examples.