(c) the enthalpy of the refrigerant

When a system is closed,

Which of the following is NOT a role of water?

Derive the cumulative distribution function (CDF) of X on your scratch paper. Leave the answer box on Canvas blank. Clearly specify the range of x for each corresponding form of the CDF to receive the full credit.

A company measures the quality of its products using two continuous random variables: X: the standardized thickness of a manufactured sheet,Y: the standardized strength of the sheet. The joint probability density function of X and Y is given as Show your work on the scratch paper when answering Q23-25 below. X

Compute the conditional probability P(X>1.5∣X>1). Provide three digits after the decimal point.

Given that a startup receives a positive evaluation, what is the probability that it will actually be successful? Provide six digits after the decimal point.

What is the probability that a student who knows R also knows at least one of the other two languages? Compute three digits after the decimal point.

A venture capital firm evaluates thousands of startup companies each year. Historically, only 1 out of every 1,000 startups turns out to be successful. The firm uses an initial evaluation test to assess potential. The evaluation test is imperfect: If a startup will be successful, the test returns a positive evaluation with probability 0.8 If a startup will not be successful, the test returns a positive evaluation with 0.05 Show your work on the scratch paper answering Q4-Q6.

A factory produces metal rods whose weights (in pounds) are independent and identically distributed random variables with mean μ = 5 and standard deviation σ = 0.2. The rods are packaged in boxes of 30. Show your work on the scratch paper answering Q16-Q17.