oblem #6: An email filter is planned to separate valid e-mails from spam. The word free occurs in 70% of the spam messagesand only 3% of the valid messages. Also, 15% of the messages are spam.Problem #6(a):Problem #6(b):(a) If an email message is randomly selected, find the probability that it is spam, given that it contains the wordfree.(b) If an email message is randomly selected, find the probability that it is valid, given that it does not contain theword free.Answer correct to 4 decimalsAnswer correct to 4 decimals

event A: have free word in email B: spam messages P(B) = 0.15 ∴P(B') = 1-0.15 = 0.85 P(A|B) =…

Answered: em #6: An email filter is planned to…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Similar questions

at a certain school, 34% of the students will qualify for financial aid type A and 19% will qualify for financial aid type b. if it is known that 5.1% of the students will qualify for both types of financial aid find: find the probability that a student will qualify for financial aid (at least one of either type A or type B) the probability that a student will qualify for type a and not type b
Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students eat pizza and drink soda, what is the probability that a randomly chosen high student will either eat pizza, drink soda, or both?
In a recent survey 72% of community favorite building a health center in their neighborhood and 14 citizens are chosen find the probability that exactly 10 of them favor the building of the health center
If a person randomly picks and buys one of the four newsletters in the street each morning. What is the probability that the person will purchase same newsletter on two consecutive mornings?
At a local high school, 15% of the students have blue eyes. Each day, 9% of the blue-eyed students wear sunglasses on their way to school, while only 2% of the students with non-blue eyes wear sunglasses. Find the probability that a randomly selected student has blue eyes given that they wore sunglasses on their way to school.
A PC manufacturer buys 38% of its chips from Japan, and the rest from the US. Of the Japanese chips, 1.7% are defective; meanwhile, 1.1% of the American chips are defective. Find the probability that a chip is defective.
A pharmacist receives a shipment of 2121 bottles of a drug and has 44 of the bottles tested. If 66 of the 2121 bottles are contaminated, what is the probability that less than 33 of the tested bottles are contaminated?
If a person randomly picks and buys one of the four newsletters in the street each morning. What is the probability that the person will purchase three different newsletters on three consecutive mornings?
A survey of randomly selected 10000 college faculty members shows that 50% of the faculty own a car, 25% own a bicycle, and 9% own both. Find the probability that a faculty member chosen at random owns a car or a bicycle (or both).
Of the cartons produced by a company, 9% have a puncture, 7% have a smashed corner, and 0.5% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner.

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