Problem Set 2 Revised 2/28/2020
1. The following joint probability table shows household income by education level of the head of
Not HS Graduate
Beyond Bach. Degree
Household Income ($1000s)
a. What is the probability of a head of household not being a high school graduate?
b. What is the probability of a head of household having a bachelor’s degree or more education?
c. Given the head of household has a bachelor’s degree, what is the probability she earns $100,000
d. What is the probability of a household having income below $25,000?
e. Given the head of household has a bachelor’s degree, what is the probability he earns less than
f. Is household income independent of education level?
2. Based on weather data collected in Racine, Wisconsin on Christmas Day, the weather had the
Clear and dry
Cloudy and dry
a. Based on the data in the table, what is the probability that next Christmas will be dry?
b. Based on the data, what is the probability that next Christmas will be rainy or cloudy and
c. Supposing next Christmas is dry, determine the probability that it will also be cloudy?
Three events occur with probabilities of P(E1) = 0.35, P(E2) = 0.15, P(E3) = 0.40. If the event B
occurs, the probability becomes P(E1|B) = 0.25, P(B)=0.30.
a. Calculate P(E1 and B).
b. Calculate P(E1 or B).
c. Assume that E1, E2, and E3 are independent. Calculate P(E1 and E2 and E3).
Problem Set 2 Revised 2/28/2020
4. Men have a reputation for not wanting to ask for directions. A Harris study conducted for
Lincoln Mercury indicated that 42% of men and 61% of women would stop and ask for
directions. The US Census Bureau’s 2007 population estimate was that for individuals 18 or over,
48.2% were men and 51.8% were women. This exercise addresses this age group.
a. A randomly chosen driver gets lost on a road trip. Determine the probability that the
driver is a woman and stops to ask for directions.
b. Calculate the probability that the driver stops to ask for directions.
c. Given that a driver stops to ask for directions, determine the probability that the driver
was a man.
5. With a single roll of a pair of dice, determine the probability of getting the following:
a. The sum of 7
b. The sum of 7 given that at least one of the dice is a 5.
Purchase answer to see full
Why Choose Us
- 100% non-plagiarized Papers
- 24/7 /365 Service Available
- Affordable Prices
- Any Paper, Urgency, and Subject
- Will complete your papers in 6 hours
- On-time Delivery
- Money-back and Privacy guarantees
- Unlimited Amendments upon request
- Satisfaction guarantee
How it Works
- Click on the “Place Order” tab at the top menu or “Order Now” icon at the bottom and a new page will appear with an order form to be filled.
- Fill in your paper’s requirements in the "PAPER DETAILS" section.
- Fill in your paper’s academic level, deadline, and the required number of pages from the drop-down menus.
- Click “CREATE ACCOUNT & SIGN IN” to enter your registration details and get an account with us for record-keeping and then, click on “PROCEED TO CHECKOUT” at the bottom of the page.
- From there, the payment sections will show, follow the guided payment process and your order will be available for our writing team to work on it.