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n investor has $200 to invest. She will invest $100 in each of two investments. Let X and Y denote the returns on the investments. Assume E(X) = E(Y ) = $5, and V (X) = V (Y ) = 4. The two investments are correlated with correlation ρ = 0.5. (a) Find the covariance Cov(X, Y ) between X and Y . [2] (b) Find the mean and standard deviation of the total return S = X + Y . [2] (c) Suppose now that each of the investment follow a normal distribution with their respective mean and variance. (i) What is the distribution of S? [2] (ii) Find the likelihood that the investor loses money, that is P (S < 0)

Question 7 1 pts A young man is told by his friends that, when at a bar, he should drink beer, but should buy women shots in the hope of getting the women drunk and increasing his chance of having sex with them. He tells his friends that they are encouraging

transphobia. rape culture. functionalism.

men's liberation.

The "Depletion" region in a PN junction is so called because

Ed and Taylor work together on a group quiz that has 20 multiple-choice questions, each with 5 choices for the possible answer. Unfortunately, neither had time to study, so they decide to randomly guess at all answers. Ed guesses answers for the first 10 questions, and Taylor guesses for the other 10 questions. (a) For any single question on the quiz, what is p = chance of a correct guess? p = (b) Let X = number of correct guesses that Ed makes. What are the values of n and p for the binomial distribution that describes X? n =p = (c) Let Y = number of correct guesses that Taylor makes. What are the values of n and p for the binomial distribution that describes Y? n =p = (d) Consider X + Y = total correct guesses that Ed and Taylor make. What are the values of n and p for the binomial distribution that describes X + Y? n =p =

Identify the structural explanations for the relative rates of reactivity for compounds 1 to 5 . Hydroboration involves the reaction of

boron reagent with

alkene, so an

allene will react faster. The butcoy youp on compound 1 has res sance with the pi bond that makes the alkene

electron-rich, making it more reactive. Compared to compound 2 , compounds 3,4 and 5 have inductively

groups that make the alkene less reactive because it is a weaker

To resolve the problems with Refractive Telescopes, at the end of the 19th century, astronomers started to look into Reflective Telescopes Telescopes Diffractive Telescopes Polarized Telescopes

Experiment A1 Questions When you transferred the carbon and tin from the vial to the beaker some of the solid remained behind in the vial. Why is this not important?

The aim of existential therapy is to help clients: a. accept themselves as people of worth. b. eliminate significant existential questions. c. take action regarding their life purpose. d. resolve conflicts that lead to anxiety.

"Tweens" are what ages? 12-14

9-12

Each day a manufacturing plant receives a large shipment of drums of Chemical ZX-900. These drums are supposed to have a mean fill of 67 gallons and a standard deviation of fills of 0.4 gallons. Suppose that on a particular day the plant manager selects a random sample of 100 drums and finds that the mean fill of the 100 drums is 66.87 gallons. Assuming that the population standard deviation σ of all fills on the particular day is the 0.4 gallons that it is supposed to be, find the probability, if the population mean μ of all fills on the particular day is 67 gallons, of obtaining a sample mean fill that is less than or equal to 66.87 gallons. What do you conclude about whether μ is the 67 gallons it is supposed to be?