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- .Two random variables X and Y have the joint pdf, fx y(x, y) = Ae-2x+y), x, y 2 0 elsewhereB.202 ul X с Too Weekly w sal Success C X Bb Exam 2 X Bb Take Test: Bb UTF-8 Ass Question Completion Status: nccu.blackboard.com/webapps/assessment/take/launch.jsp?course_assessment_id=_26 http: QUESTION 8 For any continuous random variable, the probability that the random variable takes a value less than zero a. is any number between zero and one. b. is more than one, since it is continuous. c. is a value larger than zero. d. is zero. QUESTION 9 For the standard normal probability distribution, the area to the right of the mean is a. 1. b. 3.09.Suppose X is a normal random variable with μ = 40 and σ = 20. Find P(X > 20.2). A) 0.1611 B) 0.8159 C) 0.8389 D) 0.1841 E) 0.8413
- Suppose that in a certain small town it either rains or is sunny every day. A meteorologist notes that when it is sunny in this town, it will be sunny the next day with probability 0.3. If it rains, it will be sunny the next day with probability 0.4. Answer the following questions:Given the situation where the failure of a structure is given according to the following condition: DeadLoad + LiveLoad is greater than the Resistance If the variables are acting independently from each other, and each one is normally distributed as follows: DeadLoad ~ N(100,25), LiveLoad ~ N(150,50) and Resistance ~ N(300,20). Compute the failure probability of the structure.Please only solve number 8. Thank you tutor and God bless!
- c. Suppose that the forces acting on columns that help support a building are normally distributed with mean 17.0 kips and standard deviation 2.25. i) Let X be a random variable representing the forces acting on the columns, calculate the probabilities: a) P(X s 20) b) P(15 < X < 20) ii) What minimum force is required to be in the top 4% of columns supporting the building?34) If a population exhibits a skew of -5.00 and an excess kurtosis of 5.00 which of the following is true? The population mean exceeds the median. The population variance exceeds the standard deviation. The population standard deviation exceeds the variance. The population median equals the mean. The population median exceeds the mean.1. Provide the graphs for PDF and CDF of the random variable B which takes on values of 1 and 0 with probability of 0.40 and 0.60. (Don't forget the horizontal axis must be sorted).