Question

A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via email. If it enters via the internet, the system detects it immediately with probability of 0.7. If via e-mail, it is detected with probability of 0.6. Given a spyware is detected, what is the probability that it entered via internet? Use four decimal places.

Name: a system may become infected by some spyware through the internet or e mail seventy percent of the time the spyware arrives via the internet thirty percent of the time via email if it enters 30988
Uploaded: 2023-02-21T06:11:12-08:00
Duration: 1 min 28 s
Channel: Madhur L
Description: a system may become infected by some spyware through the internet or e mail seventy percent of the time the spyware arrives via the internet thirty percent of the time via email if it enters 30988

          A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via email. If it enters via the internet, the system detects it immediately with probability of 0.7. If via e-mail, it is detected with probability of 0.6. 
Given a spyware is detected, what is the probability that it entered via internet? Use four decimal places.

Added by Kayla O.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

02/21/2023

Step 1

P(I) = 0.7, P(E) = 0.3, P(D|I) = 0.7, P(D|E) = 0.6. Show more…

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A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via email. If it enters via the internet, the system detects it immediately with probability of 0.7. If via e-mail, it is detected with probability of 0.6. Given a spyware is detected, what is the probability that it entered via internet? Use four decimal places.