Reference no: EM13176436
1. Imagine a person who wants to find a job within two months.
Explain why the eventual outcome (finding a job or not finding a job) can be viewed as a random variable.
What is its distribution?
2. Suppose that the population of employed people in a small town is 2,000. Among the employed, 500 employees receive the hourly wage of $8 per hour, 1100 employees receive $10 per hour, and 400 employees receive $12 per hour. Let W denote the hourly wage rate of a randomly drawn person from the employed population.
a. Find the probability that W is equal to $8. Find Pr(W = 10), Pr(W = 12). b. Find the expected wage, E(W).
c. Find Var(W).
3. Let X1, X2, and X3 be independent random variables with??E(X1) = E(X2) = E(X3) = 5,
Var(X1) = 9, Var(X2) = 4, and Var(X3) = 1. Let Z = 1 3i=1 Xi denote a new random
page1image10872 page1image11032
a. Find E(Z), and Var(Z)
b. Suppose now that X1 and X2 are not independent, and Cov(X1,X2) = 3. Find Var(4X1 + 5X2).
4. In a sample of 300 houses, the sample average price was found to be $196,340. Assume the variance of house prices is 120,000,000. Let random variable X denote house price, and ? denote its unknown population mean, E(X) = ?. For each of the following questions, accurately formulate the null and alternative hypotheses and perform the test:
a. The average house price is below $200,000. b. The average house price is above $200,000.
c. The average house price is different from $200,000.
5. A random sample of 100 FSU students included 57 females and 43 males. Let G denote a random variable equal 1 if the person is a female and 0 if the person is a male.
Find the sample average, G ?, and sample variance, SG2 , of variable G.
6. Are FSU students predominantly female? Formulate and test the corresponding null
and alternative hypotheses to answer this question.
7. Is gender composition of FSU students perfectly balanced? Formulate and test the corresponding null and alternative hypotheses to answer this questions.
|
Compute the cost savings that the company makes per year
: A high-tech company in the US can have one of the popular items made offshore at half the price of making them in the US. However, about 90% of the items made offshore will be returned within the warranty period of 1 year for repairs. The followin..
|
|
Calculate the total energy required for the process
: You have a 134.0g sample of CO2 at -230 oC. You heat it until you have gaseous CO2 at 312 oC. Calculate the total energy required for this process. You will need to find some additional information - heat capacities, phase changes, etc.
|
|
What volume of liquid water could be produced
: Hydrogen and oxygen gas combine explosively to produce water. Write a balanced chemical equation for this process. If 10 mol of hydrogen reacted with oxygen, what volume of liquid water could be produced?
|
|
What was the original gas pressure
: If 376 cm3 Of Gas Is Compressed To A Volume Of 0.0457 cm3 Under A Pressure Of 3.21 KPa, What Was The Original Gas Pressure?
|
|
Why the eventual outcome can viewe as a random variable
: . In a sample of 300 houses, the sample average price was found to be $196,340. Assume the variance of house prices is 120,000,000. Let random variable X denote house price, and ? denote its unknown population mean, E(X) = ?. For each of the follo..
|
|
Which salt is most soluble in water
: Which salt is most soluble in water? chromium (III) nitrate, silver iodide, barium phosphate, or calcium carbonate.
|
|
What is the hydrogen ion concetration of a solution
: what is the hydrogen ion concetration of a solution that has a pH of 4.7
|
|
State and draw a titration curve for peptides
: Draw a titration curve for both of these peptides. Be sure to label the axes properly, indicate the pKa values, the equivalence points and the buffering regions.
|
|
What volume of hydrogen and nitrogen are produced
: the compund TNT decomposes explosively into carbon, carbon monoxide, hydrogen,and nitrogen. what volume of hydrogen and nitrogen are produced if 5.8 L of CO is produced?
|