It is estimated that 60% of emails are spam emails. Some software has been applied to filter these spam emails before they reach your inbox. A software claims that it can detect 95% of spam emails, and the probability for a false positive (a non-spam email detected as spam) is 4%. Now if an email is detected as spam, then what is the probability that it is in fact a non-snam email?

It is estimated that 60% of emails are spam emails. Some software has been applied to filter these spam emails before they reach your inbox. A software claims that it can detect 95% of spam emails, and the probability for a false positive (a non-spam email detected as spam) is 4%. Now if an email is detected as spam, then what is the probability that it is in fact a non-snam email?

Name: It is estimated that 60% of emails are spam emails. Some software has
Uploaded: 2024-03-20T07:07:00.000Z
Channel: Bartleby
Description: It is estimated that 60% of emails are spam emails. Some software hasbeen applied to filter these spam emails before they reach your inbox.A software claims that it can detect 95% of spam emails, and theprobability for a false positive (a non-spam e

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

If the probability that an individual with a Bachelor Degree in Underwater Basket-weaving will be hired in their first 6 months out of college is 3%, what is the probability that an individual with a Bachelor Degree in Underwater Basket-weaving will not get hired in the first 6 months out of college?
According to the Center for Disease Control (CDC), the percentage of boys who are diagnosed with autism by the age of 8 is 2.7%. If 150 boys under the age of 8 are randomly selected, find the probability that the average of them being diagnosed with autism is more than 2.5%.
If a seed is planted, it has a 95% chance of growing into a healthy plant.If 11 seeds are planted, what is the probability that exactly 3 DON'T grow?Can you help me?
A study done by the New York times show that the probability that an e-mail is spam to be 0.88. If a person received 20 e-mails one day . What is the probability that exactly 18 e-mails are spam. (Assume that e-mail are independent from other e-emails )
If a seed is planted, it has a 95% chance of growing into a healthy plant.If eleven seeds are planted, what is the probability that exactly three don't grow?
Andrea did a survey in her statistics class and found that 18 students out of 25 use the library at least twice a week. What is the probability that a student chosen at random from the class uses the library at least twice a week? What is the probability that a student chosen at random from the class uses the library less often than twice a week? If two students are chosen at random from the class, what is the probability that both of them use the library at least twice a week? If two students are chosen at random from the class, what is the probability that both of them do NOT use the library at least twice a week?
The probability that a student passes mathematics is 2/3 and the probability that he passes biology is 3/4. if the probability of passing both courses is 1/2, what is the probability that he will pass either one of the courses?
If a seed is planted, it has an 80% chance of growing into a healthy plant. If 12 seeds are planted, what is the probability that exactly 1 doesn’t grow?
The management of marks department store estimates that approximately 6% of all shoppers shoplift. Of those people who shoplift, 98% are stopped by security. Of the other 94% of the shoppers, 1% are mistakenly identified as shoplifters by security. If a shopper is detained by security, what is the probability that the person was in fact a shoplifter?
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 drunken pirate stands in the center of a ship's deck. Every second the pirate moves right or left only. Every second the pirate moves to the right with a probability of 0.1 The steps are independent of each other. The edge of the deck is 5 steps away from the pirate. What is the chance that the pirate will fall off the ship after exactly 5 seconds?
A class in Engineering Data Analysis consist of 6 women and 4 men. Their grades are calculated, and all turns out to be a unique value, so no one will have the same grade. If all rankings are considered equally likely, what is the probability that a woman took the top 1 rank.