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21-03-2024
Mathematics

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Errors in an experimental transmission channel are found when thetransmission is checked by a certifier that detects missing pulses.The number of errors found in a eight-bit byte is a random variablewith the following distribution:
F(x) = { 0 x<1
{0.7 1 ≤ x < 4
{0.9 4 ≤ x < 7
{1 7 ≤ x

Determine each of the following probabilities:
(a) P(X ≤ 4)
(b) P(X > 7)
(c) P(X ≤ 5)
(d) P(X > 4)
(e) P(X ≤ 2)

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