a) Show that E-o(-1)*(")=0, and then verify that () + C) + C') + -- - C) + (") + (") + -- .. b) Calculate E=0 2* (")
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- In February 2022, suppose that a group of 100 students are taking UCR test as follows: 40 are taking Econ 107 , 40 are taking Econ 105B , and the remaining students are taking Econ 104A . Suppose the grades are given as follows: Econ 107 results: 10 students scored 60 out of 100 points, 20 students scored 80 out of 100 points, and rest scored 90 out of 100 points. Econ 105B results: 30 students scored 80 out of 100 points, 5 students scored 90 out of 100 points, and rest scored 100 out of 100 points. Econ 104A results: 10 students scored 88 out of 100 points, 5 students scored 80 out of 100 points, and rest scored 96 out of 100 points. Give the information above, please solve the following questions: i. Find all marginal and joint probabilities for each class and grade? ii. Find the probability of that the grade is 60 given that students are taking Econ107 ? Find the probability that a student is taking 104A given that he/she scored 80 points? iii. Find the mean and the variance of all…a)X ∼ exp (λ). Under the condition {X> 3} fX | {X> 3} (x | X> 3) =? and E [X | X> 3] =?Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…
- To test this null hypothesis, we compute t using a special case of the formula. state the formula?1. Gravetter/Wallnau/Forzano, Essentials - Chapter 5 - End of Chapter question 25 For each of the following, identify the exam score that should lead to the better grade. A score of X = 60 on an exam with µ = 72 and σ = 12, or a score of X = 70 on an exam with µ = 82 and σ = 8? X = 60 corresponds to z = , and X = 70 corresponds to z = . Therefore,both scores produce the same grade . A score of X = 85 on an exam with µ = 70 and σ = 10, or a score of X = 58 on an exam with µ = 49 and σ = 6? X = 85 corresponds to z = , and X = 58 corresponds to z = . Therefore,the better grade would be X = 85, µ = 70, σ = 10 . A score of X = 32 on an exam with µ = 24 and σ = 4, or a score of X = 26 on an exam with µ = 20 and σ = 2? X = 32 corresponds to z = , and X = 26 corresponds to z = . Therefore,the better grade would be X = 26, µ = 20, σ = 2 .What is the Increasing,Decreasing, and Constant Therom
- I need help with question 23 in Section 3.9, page 250, of the James Stewart Calculus Eighth Edition textbook.4.3.2 Let Y ∼ Uniform[0, 1], and let Xn = Yn. Prove that Xn → 0 with probability 1.I need help with question 45, parts a-c, in Section 4.5, page 302, of the James Stewart Calculus Eighth Edition textbook.