3. For this system, the probability of each task being successful is 0.8. What is the probability of the whole system succeeding? 4. P[W]=0.735 fx,y = {ce-x-> 0 (x, y)>0 otherwise a. What is the constant c? c = 1 b. Prove whether X and Y are independent. Yes 5. A char variable contains 8 bits. When receiving a char on a serial communication line, the change of the char having 8 1's is 0.1. a. b. C. Estimate P[B7] using the Markov Inequality. P[B>7] = 6/7 Estimate P[B7] using the Chebyshev Inequality. P[B > 7] = 1.5 Estimate P[B7] using the Central Limit Theorem. P[B7] 1 (0.8165)

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3. For this system, the probability of each task being successful is 0.8. What is the probability of the whole system
succeeding?
4.
P[W]=0.735
fx,y = {ce-x->
0
(x, y)>0
otherwise
a.
What is the constant c? c = 1
b.
Prove whether X and Y are independent. Yes
5. A char variable contains 8 bits. When receiving a char on a serial communication line, the
change of the char having 8 1's is 0.1.
a.
b.
C.
Estimate P[B7] using the Markov Inequality.
P[B>7] = 6/7
Estimate P[B7] using the Chebyshev Inequality.
P[B > 7] = 1.5
Estimate P[B7] using the Central Limit Theorem.
P[B7] 1 (0.8165)
Transcribed Image Text:3. For this system, the probability of each task being successful is 0.8. What is the probability of the whole system succeeding? 4. P[W]=0.735 fx,y = {ce-x-> 0 (x, y)>0 otherwise a. What is the constant c? c = 1 b. Prove whether X and Y are independent. Yes 5. A char variable contains 8 bits. When receiving a char on a serial communication line, the change of the char having 8 1's is 0.1. a. b. C. Estimate P[B7] using the Markov Inequality. P[B>7] = 6/7 Estimate P[B7] using the Chebyshev Inequality. P[B > 7] = 1.5 Estimate P[B7] using the Central Limit Theorem. P[B7] 1 (0.8165)
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