Question

In: Math

Suppose E and F are two mutually exclusive events in a sample space S with P(E)...

Suppose E and F are two mutually exclusive events in a sample space S with P(E) = 0.34 and P(F) = 0.46. Find the following probabilities.

P(EF)   
P(EC)   
P(EF)   
P((EF)C)   
P(ECFC)      

Solutions

Expert Solution

?


Related Solutions

Let A and B be two events in a sample space S. If P(A1Bc) =.10, P(Ac1B)...
Let A and B be two events in a sample space S. If P(A1Bc) =.10, P(Ac1B) =.40 and P(Ac1Bc) =.10, a. Illustrate the events A1Bc, Ac1B and Ac1Bc on a van Venn-diagram b. Check for the independence of events A and B. c. Find P(A1B*AUB).
Show that, for any events E and F, P(E ∪ F) = P(E) + P(F) −...
Show that, for any events E and F, P(E ∪ F) = P(E) + P(F) − P(E ∩ F). Only use the probability axioms and indicate which axiom you use where
Let A, B and C be mutually independent events of a probability space (Ω, F, P),...
Let A, B and C be mutually independent events of a probability space (Ω, F, P), such that P(A) = P(B) = P(C) = 1 4 . Compute P((Ac ∩ Bc ) ∪ C). b) [4 points] Suppose that in a bicycle race, there are 19 professional cyclists, that are divided in a random manner into two groups. One group contains 10 people and the other group has 9 people. What is the probability that two particular people, let’s say...
“If two events are mutually exclusive, they must not be independent events.” Is this statement true...
“If two events are mutually exclusive, they must not be independent events.” Is this statement true or false? Explain your choice.
Sample Spaces 1. Suppose S is a uniform sample space with N elements. If E is...
Sample Spaces 1. Suppose S is a uniform sample space with N elements. If E is any possible come and ω is the probability function for S evaluate ω(e). 2. Define a probability function on the set A = {1, 2, 3} such that A is not a uniform sample space. 3. Given the sample space B = {a, b, c} and probability function ω on B. If ω(a) = 0.3, ω({a, b}) = 0.8 then find ω(b) and ω(c)....
Describe the difference between the probability of two mutually exclusive events, two complementary events, and two...
Describe the difference between the probability of two mutually exclusive events, two complementary events, and two events that are not mutually exclusive. Give examples of each.
If two events are independent how do we calculate the and probability, P(E and F), of...
If two events are independent how do we calculate the and probability, P(E and F), of the two events? (As a side note: this "and" probability, P(E and F), is called the joint probability of Events E and F. Likewise, the probability of an individual event, like P(E), is called the marginal probability of Event E.)
1.A company is analyzing two mutually exclusive projects, E and F, whose cash flows are shown...
1.A company is analyzing two mutually exclusive projects, E and F, whose cash flows are shown below: Years 0 1 2 3 4 Cash Flow E -$1,100 $900 $350 $50 $10 Cash Flow F -$1,100 $0 $300 $400 $850 The company's cost of capital is 12 percent, and it can get an unlimited amount of capital at that cost. What is the regular IRR (not MIRR) of the better project? (Hint: Note that the better project may or may not...
Suppose f : X → S and F ⊆ P(S). Show, f −1 (∪A∈F A) =...
Suppose f : X → S and F ⊆ P(S). Show, f −1 (∪A∈F A) = ∪A∈F f −1 (A) f −1 (∩A∈F A) = ∩A∈F f −1 (A) Show, if A, B ⊆ X, then f(A ∩ B) ⊆ f(A) ∩ f(B). Give an example, if possible, where strict inclusion holds. Show, if C ⊆ X, then f −1 (f(C)) ⊇ C. Give an example, if possible, where strict inclusion holds.
MUTUALLY EXCLUSIVE EVENTS AND THE ADDITION RULE Determine whether the following pair of events are mutually...
MUTUALLY EXCLUSIVE EVENTS AND THE ADDITION RULE Determine whether the following pair of events are mutually exclusive. 1) A card is drawn from a deck.   C={It is a King} D={It is a heart}. 2) Two dice are rolled. G={The sum of dice is 8} H={One die shows a 6} 3) A family has three children. K={First born is a boy} L={The family has children of both sexes} Use the addition rule to find the following probabilities. 1) A die is...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT