Suppose P (E^c) = 0.21, P(F) = 0.76, P(E^c ∩ F) = 0.18. Find P(E ∪ F) ^c
Suppose P (E^c) = 0.21, P(F) = 0.76, P(E^c ∩ F) = 0.18. Find P(E ∪...
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.
2. (25 P) A random number generator was used to generate a 100 numbers listed below. Perform x2 goodness of fit test to check whether the data distributed uniformly in the interval [0, 1] (a= 0.05, state the hypothesis first). 0.01 0.01 0.02 0.03 0.03 0.05 0.05 0.06 0.06 0.06 0.07 0.08 0.08 0.09 0.12 0.13 0.15 0.16 0.18 0.19 0.21 0.24 0.24 0.25 0.25 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.3 0.31 0.32 0.32 0.33 0.33...
Find P(A or B or C) for the given probabilities. P(A) = 0.35, P(B) = 0.23, P(C) = 0.18 P(A and B) = 0.13, P(A and C) = 0.03, P(B and C) = 0.07 P(A and Band C) = 0.01 P(A or B or C) =
(1 point) If P( E F) = 0.084, P(E|F) = 0.24, and P(F|E) = 0.3, then (a) P(E) = (b) P(F) = (c) P(EUF) = (d) Are the events and F independent? Enter yes or no
3.5. With reference to the following figure, find a) P(A B) b) P(BIC) c) P(A n B|C) d) P(B U CIA) e) P(AB u c) 0.06 0.24 0.19 0.04 0.16 0.11 0.11 0.09 3.6. For two rolls of a balanced die, find the probabilities of getting a) two 4s b) first a 4 and then a number less than 4
Let E and F be two events of an experiment with sample space S. Suppose P(E)= 0.4, P(F)=0.3, P(E U F) =0.5, Find P(F|E) and determine if the two events are independent. A) P(F|E)= 3/4, E and F are independent. B) P(F|E)= 3/4, E and F are not independent. C) P(F|E)=1/2 , E and F are independent. D) P(F|E)= 1/2, E and F are not independent.
Consider three random events, A, B and C. Suppose that P(A) = 0.5, P(A∩C) = 0.2, P(C) = 0.4, P(B) = 0.4, P(A∩B∩C) = 0.1, P(B∩C) = 0.18, and P(A∩B) = 0.21. Calculate the following probabilities: c. P((B∩C)c ∪(A∩B)c)
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...
Suppose E and F are independent events. Find Pr[E′∩F] if Pr[E]=1/3 and Pr[F]=1/3 A and B are independent events. If Pr(A∩B)=0.24 and Pr[A]=0.3, what is Pr[B]?
Suppose A and B are two events for which P(A) =0.18, P(B) = 0.45, and P(A or B) = 0.54. Find P( A and B) Find Are A and B mutually exclusive? (Support your answers!) Are A and B independent?