A student is randomly selected from a large college campus. Define the events H = the student has blond hair and E = the student has blue eyes. The events H and E are
a. disjoint but not independent.
b. independent but not disjoint.
c. disjoint and independent.
d. neither disjoint nor independent.
Q. 2Q. 3Lauren wants to wear something warm when she leaves for class. She reaches into her coat closet without looking and grabs a hanger. Based on what she has in her coat closet, she has a 30 chance of picking a sweater, a 50 chance of picking a coat, and a 20 chance of picking a jacket. What is the probability that she will pick a sweater or a coat?
a. 15
b. 30
c. 50
d. 80
Q. 4Students who live in the dorms at a college get free T.V. service in their rooms, but only receive 6 stations. On a certain evening, a student wants to watch T.V. and the six stations are broadcasting separate shows on baseball, football, basketball, local news, national news, and international news. The student is too tired to check which channels the shows are playing on, so the student picks a channel at random. On a different night, two students who don't know each other each choose a channel this way. The two events, N = the first student watches a news broadcast and F = the second student watches football are
a. independent events.
b. disjoint (mutually exclusive) events.
c. each simple events.
d. None of the above.
Q. 5Students who live in the dorms at a college get free T.V. service in their rooms, but only receive 6 stations. On a certain evening, a student wants to watch T.V. and the six stations are broadcasting separate shows on baseball, football, basketball, local news, national news, and international news. The student is too tired to check which channels the shows are playing on, so the student picks a channel at random. The two events F = the student watches football and A = the student watches an athletic event are
a. independent events.
b. disjoint (mutually exclusive) events.
c. each simple events.
d. None of the above.
Q. 6Students who live in the dorms at a college get free T.V. service in their rooms, but only receive 6 stations. On a certain evening, a student wants to watch T.V. and the six stations are broadcasting separate shows on baseball, football, basketball, local news, national news, and international news. The student is too tired to check which channels the shows are playing on, so the student picks a channel at random. The events F = the student watches football and B = the student watches baseball are
a. independent events.
b. disjoint (mutually exclusive) events.
c. each simple events.
d. None of the above.
Q. 7Students who live in the dorms at a college get free T.V. service in their rooms, but only receive 6 stations. On a certain evening, a student wants to watch T.V. and the six stations are broadcasting separate shows on baseball, football, basketball, local news, national news, and international news. The student is too tired to check which channels the shows are playing on, so the student picks a channel at random. The two events A = the student watches an athletic event and N = the student watches a news broadcast are
a. independent events.
b. disjoint (mutually exclusive) events.
c. each simple events.
d. None of the above.
Q. 8A statistics class has 4 teaching assistants (TAs): three female assistants (Lauren, Rona, and Leila) and one male assistant (Josh). Each TA teaches one discussion section. Two students, Bill and Tom, who don't know each other, each pick a discussion section. The two events B = Bill's TA is Lauren and T = Tom's TA is a woman are
a. independent events.
b. disjoint (mutually exclusive) events.
c. each simple events.
d. None of the above.