6. After buying some groceries from the supermarket, your motherrides a multicab to go home. The multicab has two different routes Aand B. If the multicab takes route A, your mother will be home nolater than 7 PM with probability of 0.8, but if the multicab takesroute B, then she will arrive at your house no later than 7 PM withprobability of 0.7. Assume that the multicab driver prefers route B,and takes the route 70% of the time. If your mother arrives at 8 PM,what is the probability that her multicab took route A?

Given that, After buying some groceries from the supermarket, your mother rides a multicab to go…

Answered: 6. After buying some groceries from the…

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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There are two bags containing several colored balls. The bag B, contains 10 red balls, 12 blue balls, and 13 green balls. The bag B, contains 20 red balls, 19 blue balls and 19 green balls. A student of your class wanted to draw 1 red ball and 3 blue balls. i. If he has the option to draw from only bag B1, what is the probability of drawing the four balls? [Give your answer upto 4 decimal places] ii. If he can choose any bag in an equiprobable manner, what is the probability of drawing the four balls in this case? [Give your answer upto decimal places] 4
PLEASE ANSWER ALL OF THIS QUESTION
In a football match, there is a new striker on the Juventus side. The probability that the new striker will score goal today is three times higher than scoring none. Rakin and his friends are watching this match. Rakin tells his friends that the new striker is left footed as he read about him in an article; but, some friends are not believing him. The match is about to start and on the screen there is a note saying opponent defenders of Juventus are strong against right footed strikers. So, the probability of the striker being left footed will be five times higher if the striker scores a goal than scoring none. When match started, Rakin and his friends saw that the new striker is left footed. What is the probability that the striker will score today?
In a certain college, 4% of the men and 1% of the women are taller than 6 feet. Furthermore, 60% of the students are women. Now if a student is selected at random and is taller than 6 feet, what is the probability that the student is a worman? 3/11 O7/11 3/18 O11/18
According to the survey of American households, the probability that the household owns Smart 3D HDTV if the house has two earning members is 51%. Of the households surveyed, 47% did not have two earning members and 48%had Smart 3D HDTVs. If the household is selected which owns a Smart 3D HDTV, what is the probability that this house does not have two earning members?
can you help me do #8 and show work
Omar commutes from his home to Concordia by car. To try to get to his class on time, he tries different routes to get to Concordia but heavy traffic and construction keeps occurring randomly along his four favourite routes: routes A, B, C, and D, which he takes with probabilities of 0.4, 0.15, 0.3, and 0.15, respectively. If he takes route A then he is on time for class with a probability of 0.7, if route B then he is on time with probability 0.9, if route C then he is on time with probability 0.8, and if route D then he is on time with probability 0.6. (a)What is the probability that Omar arrives to class on time? (b) If Omar arrives to class on time, what is the probability that he took route A?
Suppose you have 3 events A,B,C and exactly one happens and are equally likely. There is another event E and we know P(E|A)=.4, P(E|B)=.7, and P(E|C)=.8. Suppose we don't know if A,B, or C was the event that happened, but we do know E happened. Find the three probabilities that A happened, B happened, and C happened.
A university computer laboratory installs one of three operating systems on each computer used in the lab. It is known from product testing that during an hour of web browsing the probability a computer with system 1 installed will crash is 0.15, the probability of a computer with operating system 2 crashing is 0.08 and the probability of a computer with system 3 crashing is 0.1. Operating systems 1 and 3 are installed on the same number of computers while system 2 is installed on twice as many computers as system 1 (or system 3).a) What is the probability that a randomly selected computer crashes during an hour of web browsing?b) If a computer selected at random crashed during an hour of browsing the web, what is the probability it has operating system 2 installed?c) If a computer selected at random does not crash during an hour of web browsing what is the probability it has operating system 1 or operating system 2 installed?
XYZ Construction Company has three loaders operating every day in a construction site. During any day, each loader that is operating at the beginning of the day has a 0.25 chance of breaking down. If a loader breaks down during the day, it is sent to a repair station and will be working (operational) two days after it breaks down. (Thus, if a loader breaks down during day 3, it will be working at the beginning of day 5. Let the state of the system be the number of operational loaders at the beginning of the day. How many states does the system have?

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