Hi,Can someone please show the steps for solving problem 3.?Thank you 1. Suppose that 55% of all adults regularly consume coffee, 45% regularly consume carbonated soda, and70% regularly consume at least one of these two products.(a) What is the probability that a randomly selected adult regularly consumes both coffee and soda?(b) If a randomly selected adult regularly consumes soda, what is the probability that he/she alsoregularly consumes coffee?(c) What is the probability that a randomly selected adult does not regularly consume at least oneof these two products?2. A friend is giving a dinner party. His current wine supply includes 8 bottles of zinfandel, 10 of merlotand 12 of cabernet. Pick 6 bottles at random.(a) What is the probability of getting two bottles of each variety?(b) What is the probability of getting all of the same variety?(c) What is the probability of getting at least two cabernet?(d) What is the probability of getting the first merlot at the fourth pick?3. Suppose that 30% of computer owners use a Macintosh, 50% use Windows, and 20% use Linux.Suppose that 65% of the Mac users have succumbed to a computer virus, 82% of the windows usersget the virus, and 30% of the Linux users get the virus. We select a person at random.(a) What is the probability that her computer has infected by the virus?(b) Given the condition that her system has already infected by the virus, what is the probabilitythat she is a Windows user?

3. Given information: 30% of the computer owners use a Macintosh. 50% use Windows and 20% use Linux.…

Suppose that 30% of computer owners use a Macintosh, 50% use Windows, and 20% use Linux. Suppose that 65% of the Mac users have succumbed to a computer virus, 82% of the windows users get the virus, and 30% of the Linux users get the virus. We select a person at random. (a) What is the probability that her computer has infected by the virus?

Suppose that 30% of computer owners use a Macintosh, 50% use Windows, and 20% use Linux. Suppose that 65% of the Mac users have succumbed to a computer virus, 82% of the windows users get the virus, and 30% of the Linux users get the virus. We select a person at random. (a) What is the probability that her computer has infected by the virus?

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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