Question
answer clearly and correctly please! I will only accept correct answers!!!
A fair die is rolled five times. What is the probability of getting five 6's in a row? What is the probability of getting all even numbers? Network Reliability: In the network shown below, the links between computers can be either up or down. The reliability of each link is as shown in the diagram. The status of each link is independent of the status of the other links. What is the probability that there is a functioning set of links connecting computer B to computer C? Consider drawing one card from a standard 52-card deck. Define four events as follows: A = {Hearts}, B = {Black cards], C = {Aces}, and D = {Queen of Hearts, Queen of Spades). Prove which pairs of these events are independent, and which are dependent. An urn contains 7 red balls and 5 green balls. Two balls are drawn at random from the urn. What is the probability of getting two balls of the same color if: the first ball is replaced before the second ball is drawn. the first ball is not replaced before the second ball is drawn. Communication Channel Reliability: Consider a communication channel over which a 0 or a 1 must be transmitted. Suppose that the probability that the bit to be sent is a 0 is 0.5, and the probability that a 1 is to be sent is also 0.5. Also suppose that due to noise the probability that a 0 is changed to a 1 during transmission is 0.06 and the probability that a 1 is changed to a 0 is 0.03. Suppose that a 0 is received. What is the probability that a 0 was sent?
Explanation / Answer
1
a)(1/6)^5
b)(1/2)^5
2 two paths possible B to C
and B-A-C
Probablity=(0.93*0.15+0.93*0.04-0.93*0.15*0.04)+(0.07*0.85*0.96)-0.07*(0.15+0.04-0.04*0.15)=0.21536
3)P(A)=1/4 P(B)=1/2 P(C)=1/13 P(B)=1/26
P(A intersction B)=0
B,C are dependent
A,D are dependent
C,D are dependent
A,B are independent
A,C are independent
B.D are independent
4)
