Given P(Ec ) = 0.43, P(F) = 0.52, and P(EF) = 0.18. Find P( E | Fc ).
a) 0.8125
b) 0.7500
c) 0.5342
d) 0.9069
e) 0.3461
f) None of the above.
Let P(E) = 0.28, P(EF) = 0.17, and P(EFc) = 0.88. Find P(F|Ec). ) 0.6071 b) 0.1667 c) 0.2361 d) 0.5862 e) 0.4286 f) None of the above.
Let P(E) = 0.28, P(EF) = 0.13, and P(EFc) = 0.82. Find P(F|Ec)
Let P(E) = 0.28, P(E∩F) = 0.17, and P(E U Fc) = 0.88. Find P(F|Ec).
Suppose P (E^c) = 0.21, P(F) =
0.76, P(E^c ∩ F) = 0.18. Find P(E ∪ F) ^c
n F Find P(E U F) a. 0.58 b. 0.21 c. 0.03 d. 0.24
Let P(E)= 0.37, P(EF)= 0.19, and P(EF^c)= 0.89. Find P(F|E^C).
7.Given P(x) 0.18 0.52 0.3 6 -8 a. List ALL the conditions that shown above is a probability distribution. (2 pts) b. Find the expected value (or mean) of the probability distribution. (2 pts)
5. Suppose E, F, and G are three disjoint events where P(E)- .15, P(F)- .25, and P(G).60. Find the following: (a) P(F or G) (b) P(Ec) (c) P((E or F)c) (d) P(FnG) 6. A new diagnostic test for a disease is studied. It is known whether or not these 100 individuals have the disease and the diagnostic test is administered. The results are as follows infectedhealthy tested positive tested negative 40 10 45 Let E-randomly selected person is infected and...
24) If events E, F & G are mutually independent, and P(E)P(F) P(G).3, then P(EF I G) a).16 b).18 c).20 d).21 e).24
Consider the set of FDs F = {CF-A, AF-CF, AC-F, EF-D, C-EF, D-B, AE–F}. Which of the following FDs does not follow from F? (2 Points) Select one: O CE-B AC-B CF-B AFB All of the above None of the above
1. Consider a statistical experiment E: (, F,P) and an event A . Note: A EF. a. Use the axioms of probability to show that P(A) 1-P(A). b. Repeat (a) using the definition of the σ-field. 2. Consider a statistical experiment E: (, F,P) in which a fair coin is flipped successively until the same face is observed on successive flips. Let A = {x: x = 3, 4, 5, . . .); that is, A is the event that...