Question

2-182. An encryption-decryption system consists of three elements: encode, transmit, and decode: A faulty encode occurs in 0.5% of the messages processed transmission errors occur in 1% of the messages, and a decode error occurs in 0.1% of the messages. Assume the errors are independent: (a) What is the probability of completely defect-free message? (b) What is the probability of message that has either an encode or a decode error?

Name: 2 182 an encryption decryption system consists of three elements encode transmit and decode a faulty encode occurs in 05 of the messages processed transmission errors occur in of the message 63818
Uploaded: 2022-03-04T03:13:51-08:00
Duration: 1 min 2 s
Channel: Narayan Hari
Description: 2 182 an encryption decryption system consists of three elements encode transmit and decode a faulty encode occurs in 05 of the messages processed transmission errors occur in of the message 63818

          2-182. An encryption-decryption system consists of three elements: encode, transmit, and decode: A faulty encode occurs in 0.5% of the messages processed transmission errors occur in 1% of the messages, and a decode error occurs in 0.1% of the messages. Assume the errors are independent: (a) What is the probability of completely defect-free message? (b) What is the probability of message that has either an encode or a decode error?

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Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Narayan Hari

03/04/2022

Step 1

- Probability of a faulty encode: 0.5% = 0.005 - Probability of a transmission error: 0% - Probability of a decode error: 0.1% = 0.001 - Probability of a defect-free message = (1 - 0.005) * (1 - 0) * (1 - 0.001) = 0.994 * 1 * 0.999 = 0.993006 Show more…

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2-182. An encryption-decryption system consists of three elements: encode, transmit, and decode: A faulty encode occurs in 0.5% of the messages processed transmission errors occur in 1% of the messages, and a decode error occurs in 0.1% of the messages. Assume the errors are independent: (a) What is the probability of completely defect-free message? (b) What is the probability of message that has either an encode or a decode error?