The range of the RV. X is (0, 1, 2,3, x), where x is unknown. If each value is e
ID: 3056251 • Letter: T
Question
The range of the RV. X is (0, 1, 2,3, x), where x is unknown. If each value is equally likely and the mean of X is 6; Find x. 92) Let X - the number of bits in error in the next four bit transmitted. The chance of bit error is 0.1. Assume that the transmission trials are independent. Find P(X = 2), Q3) IF X is binomial with n=20 and p-0 01, Find the expected value of X and the variance 04) The probability that call to a service line is answered in less than 30 second is 0.75. Assume that calls are independent. If you call 10 times 1- what is the probability that exactly 9 of your calls are answered within 30 seconds? 05) If the probability is 0.05 that a certain column will fail under a given load, what are the probabilities that among 16 such columns given that the failure of columns are independents At most two will fail.Explanation / Answer
As multiple questions are posted, only first 4 will be answered.
1. Mean of X = (0 + 1 + 2 + 3 + x)/5 = 6
So, x = 6*5 - (0+1+2+3) = 24
2. X follows a binomial distribution with n=4 and p=0.1
P(X=2) = 4C1 * 0.1 * (1-0.1)4-1 = 0.2916
3. X follows binomial distribution with n=20 and p=0.01,
Expected value = n*p = 20*0.01 = 0.2
Variance = n*p*(1-p) = 20*0.01*(1-0.01) = 0.1980
4. X follows binomial distribution with n=10 and p=0.75
P(X=9) = 10C9 * 0.759 * (1-0.75)10-1 = 0.1877