Consider a typical morning during which you select your clothing, get dressed, then leave for work or school. You may choose either a short-sleeved or long-sleeved shirt.

(a)Is it reasonable to assume that your sleeve length does not affect whether you are late? Explain.

a. No. The clothing someone wears has no effect on how long it will take to get to work or school.

b. Yes. The clothing someone wears has no effect on how long it will take to get to work or school.

c. No. The clothing someone wears may affect how long it will take to get to work or school.

d. Yes. The clothing someone wears may affect how long it will take to get to work or school.

Are the events "wear a long-sleeved shirt" and "late for work or school" independent events? Explain.

a. Yes, they are independent. If you wear a long sleeved shirt it changes the probability of being late to work.

b. Yes, they are independent. If you wear a long sleeved shirt it does not change the probability of being late to work.

c. No, they are not independent. If you wear a long sleeved shirt it changes the probability of being late to work.

d. No, they are not independent. If you wear a long sleeved shirt it does not change the probability of being late to work.

(b)Are the events "wear a long-sleeved shirt" and "late for work or school" mutually exclusive events? Explain.

a. Yes, they are mutually exclusive events. If one happens, it prevents the other one from happening.

b. Yes, they are mutually exclusive events. If one happens, it does not prevent the other one from happening.

c. No, they are not mutually exclusive events. If one happens, it does not prevent the other one from happening.

d. No, they are not mutually exclusive events. If one happens, it prevents the other one from happening.