1. Find the expected value E(X), the variance Var(X) and the standard deviation σ(X) for the density
1. Find the expected value E(X), the variance Var(X) and the standard deviation σ(X) for the density
function. (Round your answers to four decimal places.)
f(x) = 9x on [0, root 2/9]
2. Find the expected value E(X), the variance Var(X) and the standard deviation σ(X) for the density function. (Round your answers to four decimal places.)
f(x) = ex on [0, ln 2]
3. Find the expected value E(X), the variance Var(X) and the standard deviation σ(X) for the density function. (Round your answers to four decimal places.)
f(x) = 1/x on [1,e]
4. Find the median of the random variable with the probability density function given below. (Round your answer to four decimal places.)f(x) = 0.02e−0.02xon [0, +∞)
5. Find the median of the random variable with the probability density function given below. (Round your answer to four decimal places.)
f(x) = 1/x on [1,e]
6. Assuming that workers’ salaries in your company are uniformly distributed between$50,000and$60,000per year, calculate the average salary in your company.
7. Investments in junk bonds are declining continuously at a rate of 5% per year. How long will an average dollar remain invested in junk bonds?