1) Consider the following sample space, S, and several events defined on it. S =
ID: 3276695 • Letter: 1
Question
1)
Consider the following sample space, S, and several events defined on it. S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}. F H is ___________.
{Meagan}
{Betty, Abel, Patty, Meagan}
empty, since F and H are complements
empty, since F and H are independent
empty, since F and H are mutually exclusive
2)
In a set of 25 aluminum castings, four castings are defective (D), and the remaining twenty-one are good (G). A quality control inspector randomly selects three of the twenty-five castings without replacement, and classifies each as defective (D) or good (G). The sample space for this experiment contains ____________ elementary events.
12,650
2,300
455
16
156,255
3)
If the occurrence of one event precludes the occurrence of another event, then the two events are _____.
independent
mutually exclusive
exhaustive
jointly dependent
complementary
4)
If the occurrence of one event precludes the occurrence of another event, then the two events are _____.
independent
mutually exclusive
exhaustive
jointly dependent
complementary
a){Meagan}
b){Betty, Abel, Patty, Meagan}
c)empty, since F and H are complements
d)empty, since F and H are independent
e)empty, since F and H are mutually exclusive
Explanation / Answer
1) P(F U H) = P(F)+P(H)-P(F and H)
So, answer is {Betty, Abel, Patty, Meagan} OPTION (b)
2) nCr = 25C3 = 2300, Answer option (b)
3) and 4) are same and the answer is mutually exclusive, option (b)
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.