The following table contains the probability distribution for X = the number of retransmissions necessary to successfully transmit a 1024K data package through a double satellite media.
X
0
1
2
3
P(X)
0.35
0.25
***
0.15
The mean or expected value for the number of retransmissions is?
1.2
1.0
1.5
2.25
To find the mean or expected value for the number of retransmissions, we multiply each value of X by its corresponding probability and then sum up the results.
Mean = 0 * 0.35 + 1 * 0.25 + 2 * 0.15 + 3 * 0.25
Mean = 0 + 0.25 + 0.3 + 0.75
Mean = 1.3
Therefore, the mean or expected value for the number of retransmissions is 1.3, which is closest to 1.5.
So, the correct answer is 1.5.