We have two events (E1 and E2) that are independent. If P(E2 given E1) is 0.8, what is P(E2)?
We have two events (E1 and E2) that are independent. If P(E2 given E1) is 0.8,...
If two events, E1 and E2, are mutually exclusive then E1 and E2 are independent The intersection between E1 and E2 is 0 The union between E1 and E2 is 0 P(E1) = P(E2) All of these None of these
suppose that we have a sample space s={E1,E2,E3,E4,E5,E6,E7}, where E1 to E7 denote the sample points. The following probability assignments apply: p(E1 )=.05 p(E2)=.20 P(E3)=.20 p(E4)=.25 p(E5)=.15 p(E6)=.10 and p(E7)=.05 Let A={E1,E4,E6} B={E2,E4,E7} C= {E2,E3,E5,E7} 1) Find A ∩ B and P(A ∩ B) and Are events A and C mutually exclusive?
A quantum particle is prepared in the state |ψ> = 0.8 |E1> + 0.6 i |E2>. where |E1> and |E2> are energy basis states. A measurement is made of the particle's energy. What is the probability of measuring the value E2?
F is an event, and E1, E2, and E3 partition S. P(E1) = 5 12 , P(E2) = 4 12 , P(E3) = 3 12 P(F | E1) = 2 5 , P(F | E2) = 1 4 , P(F | E3) = 1 3 Draw the tree diagram that represents the given information. (a) Find P(E1 ∩ F), P(E2 ∩ F), P(E3 ∩ F). P(E1 ∩ F) = P(E2 ∩ F) = P(E3 ∩ F) = (b) Find P(F). P(F) =...
A construction firm bids on two different contracts. Let E1 be the event that the bid on the first contract is successful, and define E2 analogously for the second contract. Suppose that P(E1) = 0.6 and P(E2) = 0.3 and that E1 and E2 are independent events. (a) Calculate the probability that both bids are successful (the probability of the event E1 and E2). (b) Calculate the probability that neither bid is successful (the probability of the event (not E1)...
Assume that we have two events, A and B, that are mutually
exclusive. Assume further that we know P(A)= 0.30 and P(B)=
0.40.
Assume that we have two events, A and Br that are mutually exclusive. Assume further that we know P(A) 0.30 and PCB 0.40 If an amount is zero, enter "0". a. What is P(An B)? b. what is p(AIB? C. Is AIB) equal to A)? Are events A and B dependent or independent? d. A student in...
Assume that we have two events, A and B, that
are mutually exclusive. Assume further that we know
P(A) = 0.30 and P(B) =0.40.
What is P(A B)?
What is P(A | B)?
Is P(A | B) equal to P(A)?
Are events A and B dependent or
independent?
A student in statistics argues that the concepts of mutually
exclusive events and independent events are really the same, and
that if events are mutually exclusive they must be independent. Is
this...
Consider a system of 1000 particles that can only have two energies, E1 and E2 with E2>E1. The difference in the energy between these two values is delta E= E2-E1. Asume g1=g2=1. a) graph the number of paricle n1, n2 in states of E1 E2 as a function of kbT/deltaE, where kb is Boltzmann constant. Explain the result b) at what value kbT/deltaE do 750 of the particles have the energy E1
Suppose that events E and F are independent, P(E) 0.3, and P(F) 0.8. What is the P(E and F)? The probability P(E and F) is (Type an integer or a decimal.)
Consider a system of 1000 particles that can only have two energies, E1 and E2, with E2 > E1. The difference in the energy between these two values IS Δ E2-E1. Assume g1 = g2-1. . Assume ga2- a) Graph the number of particles, nı and n2, in states E1 and E2 as a function of kBT AE, where ks is Boltzmann's constant. Explain your result. b) At what value of kBT /AE do 750 of the particles have the...