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goblinko [34]
3 years ago
8

Errors in an experimental transmission channel are found when thetransmission is checked by a certifier that detects missing pul

ses.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)
Mathematics
1 answer:
irina1246 [14]3 years ago
6 0

Answer:

As shown below

Step-by-step explanation:

Given that when X denotes the errors in an experimental transmission channel, when checked by a certifier that detects missing pulses. follows the cumulative density function as given below:

F(x) = 0, 0

(a) P(X \leq  4) =F(4) = 0.9\\(b) P(X > 7)=1-F(8) = 0\\(c) P(X \leq  5)=F(6) = 0.9 \\(d) P(X> 4)=1-F(4)=1-0.9=0.1 \\(e) P(X \leq  2)=F(3) = 0.7

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