eBookProblem 2-11 (Algorithmic)Let A be an event that a person's primary method of transportation to and from work is an automobile and 8 be an event that a person's primary method of transportation to and from work is a bus. Suppose that in a large city P(A) - 0.49 and P(8) -0.37.a. Are events A and B mutually exclusive?What is the probability that a person uses an automobile or a bus in going to and from work? If required, round your answer to two decimal places.b. Find the probability that a person's primary method of transportation is some means other than a bus. If required, round your answer to two decimal places.P(B) =

Let be an event that a person's primary method of transportation to and from work is an automobile…

Answered: Problem 2-11 (Algorithmic) Let A be an…

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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Suppose that a traffic light regulation has established the following: the green light would be on for 30 seconds, the yellow light for 5 seconds and the red light for 50 seconds. Let us also assume that the traffic conditions make the arrival times of the cars random, so arriving when the traffic light is green is a random event. For five cars arriving independently at a traffic light, find the probability that (a) only two find the light green; (b) at most four find the green light; (c) more than three find the light in green; (d) where X is the number of cars that find the light on green, calculate the mean and standard deviation.
1. Suppose 0.1% of a population is infected with a certain disease. On a medical test 98% of those infected give a positive result, while 1% of those not infected give a positive result. For a randomly chosen person from this population: (a) What is the probability that he/she does not have the disease? (b) What is the probability that he/she tests positive? (c) If a randomly chosen person is tested and gives a positive result, what is the proba- bility that the person actually has the disease?
If A and B are disjoint events such that P(A) = 0.35 and P(B)=0.50. Then P(A U B)= a. 1 O b. 0.85 O c. 0.675 O d. 0.175
(i) If volume is high this week, then next week it will be high with a probability of 0.9 and low with a probability of 0.1.(ii) If volume is low this week then it will be high next week with a probability of 0.5.Assume that state 1 is high volume and that state 2 is low volume. 1. If the volume this week is high, what is the probability that the volume will be high two weeks from now? 2. What is the probability that volume will be high for three consecutive weeks?
a. The Probaility of event A happening is P(A)-0.5. The probability of event B happening is I(B)-0.4. Considering these are both mutually exclusive events what is the probability of event A or eveat B occurring b. Dario owns 145 baseball cards, 102 football cards, and 4s basketball cards He selcets a card at randors and gives it to his brother. What is the probability that he selects a baseball or football card? I need quick help
A student is selected at random from a list of all enrolled students at HarvardUniversity. Suppose the probability that the student is female is 0.48 and the probability that the student has a part-time job is 0.75. (a) In this context, define two events A and B. Also write down P(A) and P(B).(b) What does it mean, in this context, for A and B to be disjoint events?(c) Calculate P(A)+ P(B). Hence, or otherwise, explain why A and B cannot be disjoint events.
Suppose that 50% of all adults regularly consume coffee, 40% regularly consume carbonated soda, and 65% 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) What is the probability that a randomly selected adult doesn't regularly consume at least one of these two products?
Suppose that A and B are two INDEPENDENT events for which P(A) = 0.19 and P(B) = 0.55. Find each of the following: A. P(A|B) = B. P(B|A) = C. P(A and B) = D. P(A or B) = ENTER YOUR ANSWER TO 2 DECIMAL PLACES ENTER YOUR ANSWER TO 2 DECIMAL PLACES ROUND YOUR ANSWER TO 4 DECIMAL PLACES ROUND YOUR ANSWER TO 4 DECIMAL PLACES
A post office is run by two clerks. When Smith enters the system, he finds that Jones is being served by one of the clerks, and brown is being served by the other. Also suppose that Smith is told that his service will begin as soon as either Jones or Brown leaves. (a) If the amount of time that a clerk spends with a customer is Exp(2), what's the probability that, of the three customers, Smith is the last to leave? (b) What if server i's times are Exp(li), i = 1; 2?
5. Suppose you live in an extremely unfortunate climate where it always rains on weekends (Saturday and Sunday). For that matter, there is always a chance of rain on a weekday (Monday-Friday) as well. If you have completely forgotten which day of week it is (so that it is equally likely to be any of the seven days), but you go outside and see that it's raining, what is the probability that it's the weekend?

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