1. Suppose a random sample of n = 36 measurements is selected from a population with mean u = 20, median = 18, IQR. = 25, mode = 10 and variance o' = 49. Find the value of 57 (standard error). 2. The probability of seeing K number of goals during a football game is provided below. K 0 1 2 3 4 P(x=1) 0.20 0.15 0.40 0.20 0.05 What is the probability that there will be at least 2 goals or no goals on the next game? 3. Explain the term "nonresponse bias" in your own words with an example. 4. Explain the term "selection bias" in your own words with an example. 5. The following events A and B are given: A: {2, 3, 4, 7, 8, 10}, B: {1, 3, 5, 7). Find A'nB. 6. What is the z-value for x = 10, if x is an observation from normal population with u = 7, o = 4 and sample mean (x) of 9? 7. Monthly salaries for eight employees of a small firm are as follows (in min soums): 2.5 3.4 3.2 4.5 7.0 2.8 10.0 8.8 What is the IQR of the salaries? 8. An event A will occur with probability of 0.18. An event B will occur with probability of 0.5. The probability that both A and B occur is 0.10. Are these two events independent? Are these two events mutually exclusive? Show your proofs. 9. P(AB) = 0.4, P(A) = 0.5, P(B) = 0.35. Find P(AUB) 10. In a group, 25 students like tea or coffee, of these 15 like tea and 6 like both coffee and tea. How many students don't like coffee? PART B: Answer ALL questions. Provide all steps of the solutions for full credit. Round your solutions to two decimal places (e.g. z = 1.30, not z = 1.3) 1. If car accidents in Amir Temur street occur according to a Poisson distribution with an average of 21 accidents per week, what is the probability of observing more than 2 (two) or exactly 1 (one) accidents per day? [10 marks]