1. Calculate the similarity between these 5 observations. Use the 2 methods discussed in class for binary variables. (10)

Observations fever cough Breathing difficulty fatigue headache Loss of taste Sore throat

1 1 0 1 1 0 1 1

2 1 1 1 0 0 1 1

3 0 1 0 0 1 1 1

4 1 1 1 0 0 1 1

5 1 0 1 1 1 1 0

2. American Airlines in collaborating with Boeing to design a new complete economy flight between Dallas and Houston. The companies wanted to take passenger demand into account to come up with the number of seats. The data for passenger demand is as shown below, what should be the ideal capacity of the new flight.

Passenger demand Probability

450 0.4

500 0.1

550 0.2

600 0.2

650 0.1

3. Given in the table below is the data for careers chosen and undergrad majors of the students from College of Business at TAMUC. Based on this information answer the following questions. 3.1. Develop a joint point probability table.

3.2. Students from which undergrad major are most likely to be freelancers?

3.3. If the student has an Engineering background, what is the probability that the student will start a business?

3.4. Is there an association between undergrad majors and careers chosen? Why?

Undergrad Major

Careers chosen:

Business Engineering Arts Psychology Nursing

Corporate 410 380 100 201 1 50

Government 205 90 32 100 100

Freelancer 120 160 320 40 50

Start a business 100 80 250 12 100

4. On average you have been using your smartphone for 30 hours on a full charge with a standard deviation of 5 hours. You are planning a road trip and do not have the charge with you. What is the probability that the phone would last the entire trip of 45 hours?

5. The average number of Tesla cars that you can see on your drive to work is 20. What is the probability that you would see more than 30 Tesla cars tomorrow?