consider a situation where cars entering an intersection could turn right, turn left, or go straight. an experiment consistsof observing two vehicles moving through the intersection. a) how many sample points are there and list them b)assuming that all sample points are equally likely, what is the probability that at least one car turns left? c) assuming thatall sample points are equally likely, what is the probability that at most one car turns right?

The question is about probability.Given :No. of cars = 2No. of directions of turn = 3At intersection…

Answered: consider a situation where cars…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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2)
Approximately 3% of women aged 45 - 60 have breast cancer. A woman with breast cancer has a 97% chance of a positive test from a mammogram, while a woman without breast cancer has a 22% chance of a positive result. a) What is the probability that a woman does not have breast cancer and tests positive? b) What is the probability of a randomly selected woman having a positive test result? c) If a woman gets a negative test result, what is the probability that she does not have breast cancer? **Note: Answer in exact fraction, or rounded to at least 4 decimal places.
A) Calculate the probability that exactly 6 out of 10 randomly sampled 18- 20 year olds consumed an alcoholic drink. B) What is the probability that exactly four out of the ten 18-20 year olds have not consumed an alcoholic beverage? C) What is the probability that at most 2 out of 5 randomly sampled 18-20 year olds have consumed alcoholic beverages?
В. Forty five percent of the streets in an area have private guards for security. Three streets are selected at random: i. What is the probability all three of the selected streets have private guards? What is the probability none of the three selected streets has private guards? What is the probability at least one of the selected streets has private guards? iv. ii. iii. What is the probability at most two of the selected streets have private guards?
3. In testing a certain kind of truck tire over rugged terrain, it is found that 25% of the trucks fail to complete the test run without a blowout. Of the next 16 trucks tested, find the probability that a. From 3 to 6 have blowouts, exclusive; b. Fewer than 4 have blowouts; c. More than 5 have blowouts.
The percentage of mechanical-, civil-, aeronautical-, industrial-, and chemical-engineer- ing students in the course, Engineering Mathematics, is, respectively, 25, 20, 15, 22, and 18. The probability of a mechanical-, civil-, aeronautical-, industrial-, and chemical-en- gineering students getting the grade A is 0.7, 0.6, 0.8, 0.5, and 0.65, respectively. If a student chosen at random at the end of the semester earned an A in the course, find the probability of the student belonging to mechanical engineering.
2) A company was examining the perception of sports fans in a specific region and outside of that region to see if people viewed a specific team favorable or unfavorable. It was previously determined that given a person was from the region the probability they considered the team favorable was 0.7, and given that the person was not from the region, the probability they considered the team unfavorable was 0.28. Consider a collection of 35 people were surveyed, where 28 were from the region, and 7 people were from outside the region. a) Given that a randomly selected response from the sample was favorable, what is the probability they were from the region? b) Given that a randomly selected response from the sample was not favorable, what is the probability they were from the region?
4.The mortality rate for a certain disease is 25%. A random sample of twelve patients with this disease is selected. a.What is the probability that exactly half of the patients selected will die from the disease? b.What is the probability that at least two of the twelve patients will die from the disease?
Use the data in the following table that shows results from a polygraph (lie detector) conducted by researchers Charles R. Honts and Gordon H. Barland. In each case, it was known if the subjects lied or did not lie, so the table indicates when the polygraph was correct. If two different subjects are randomly selected without replacement, find the probability that they both lied.
In a representative household telephone survey of 2,876 adults, 15% reported that they own at least one gun. Of those that own a gun, 3% own a handgun. Suppose that one of the 2,876 adults surveyed is randomly selected. a. What is the probability that the adult owns at least one gun? b. What is the probability that the adult owns at least one gun and the gun is a handgun? a. The probability that the adult owns at least one gun is (Simplify your answer. Type an integer or a decimal. Do not round.)
b. In a survey of 99 families in Karachi, 45 were low income families who at some point in time were involved in electricity theft. 13 were low income families who never did any violation. 16 were high income families who involved in electricity theft, and 25 high income families never did any violation. If One of these subject is randomly selected, what is the probability of: i. Low income families or someone who did electricity theft. ii. Low income families or someone who did not do violation. iii. High income families or someone who did electricity theft.
Based on a study by Dr. P. Sorita at Indiana University, assume the eye colors in the United States are distributed as follows: 40% brown, 35% blue, 12% green, 7% gray, 6% hazel a. If one person is randomly selected, what is the probability that this person will have brown or blue eyes? b. If two people are randomly selected, what is the probability that at least one of them has brown eyes?

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