An optical inspection system is used to distinguish among different part types. Suppose that three parts are inspected and that the classifications are independent. Let the random variable X denote the number of parts that are correctly classified. The probability mass function is given below. Determine the mean and variance of the random variable. P(X=0) 0.000008 P(X=1) 0.001176 P(X=2) 0.057624 P(X=3) 0.941192 Оа. и 3 Е(X) — 2.94 o2 = V (X) = 0.00346 Ob. µ = E(X) = 2.94 o² = V (X) = 0.0588 О с. и 3D Е(X) — 2.94 o2 = V (X) = 8.7024 O d. None among the choices

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An optical inspection system is used to distinguish among different part types. Suppose that
three parts are inspected and that the classifications are independent. Let the random variable
X denote the number of parts that are correctly classified. The probability mass function is
given below. Determine the mean and variance of the random variable.
P(X=0)
0.000008
P(X=1)
0.001176
P(X=2)
0.057624
P(X=3)
0.941192
Оа. и 3 Е(X) — 2.94
o2 = V (X) = 0.00346
Ob.
µ = E(X) = 2.94
o² = V (X) = 0.0588
О с. и 3D Е(X) — 2.94
o2 = V (X) = 8.7024
O d. None among the choices
Transcribed Image Text:An optical inspection system is used to distinguish among different part types. Suppose that three parts are inspected and that the classifications are independent. Let the random variable X denote the number of parts that are correctly classified. The probability mass function is given below. Determine the mean and variance of the random variable. P(X=0) 0.000008 P(X=1) 0.001176 P(X=2) 0.057624 P(X=3) 0.941192 Оа. и 3 Е(X) — 2.94 o2 = V (X) = 0.00346 Ob. µ = E(X) = 2.94 o² = V (X) = 0.0588 О с. и 3D Е(X) — 2.94 o2 = V (X) = 8.7024 O d. None among the choices
Errors in an experimental transmission channel are found when the transmission is checked by
a certifier that detects missing pulses. The number of errors found in an eight-bit byte is a
random variable with the following distribution. Determine P(X < 4)
x<1
0.7
1<x< 4
F(x) =
|0.9
4<x<7
7< x
O a. 0.70
O b.0.90
O c. 0.20
O d. None among the choices
Transcribed Image Text:Errors in an experimental transmission channel are found when the transmission is checked by a certifier that detects missing pulses. The number of errors found in an eight-bit byte is a random variable with the following distribution. Determine P(X < 4) x<1 0.7 1<x< 4 F(x) = |0.9 4<x<7 7< x O a. 0.70 O b.0.90 O c. 0.20 O d. None among the choices
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