Question No 01:

Question No 01:

Dr Rex joined Venus University as an Assistant Professor in August 2019, and he was teaching an introductory course on probability theory and random variables to the undergraduate students of ECE department when the pandemic COVID-19 broke out in the city of Mars. Prior to the announcement of online classes for university students, he owned two email accounts (official and a personal) but he signed up for another email account to better manage and ensure that he doesn’t miss any student emails/queries. On any weekday, the likelihood that he receives an email on his official, newly signed up and personal email account is 0.5, 0.3, and 0.2 respectively. Moreover, the likelihood of receiving spam emails on these email accounts is 0.10, 0.30 and 0.80 respectively. Determine the following probabilities:

Given an email is received on his personal account, what is the likelihood that it isn’t a spam?
The likelihood of receiving a non-spam (important) email on any weekday?
Given it’s not a spam email, what is the likelihood it is received on his personal email account?

Expert Solution

To calculate the required probability we will use Bayes theorem on conditional probability.

orchestra answered 1 year ago

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