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: 0 x < 1 0.6 1 7) = i (c) P(XS 5) = i (d) P(X > 4) = i (e) P(X ≤ 2) = i

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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:
0
x < 1
0.6
1 < x < 4
F(x) =
0.8
4 < x < 7
1
7 ≤ x
Determine each of the following probabilities.
(a) P(X≤ 4) = i
(b) P(X> 7) = i
(c) P(X ≤ 5) = i
(d) P(X> 4) = i
(e) P(X ≤ 2) = i
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: 0 x < 1 0.6 1 < x < 4 F(x) = 0.8 4 < x < 7 1 7 ≤ x Determine each of the following probabilities. (a) P(X≤ 4) = i (b) P(X> 7) = i (c) P(X ≤ 5) = i (d) P(X> 4) = i (e) P(X ≤ 2) = i
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