Consider a situation where cars entering an intersection each could turn right, turn left, or go straight. An experiment consists of observing two vehicles moving through the intersection.(a) How many sample points are there in the sample space?List the events in the sample space. (Enter your answer in set notation. Use G for go straight, L for left, and R for right.)S =(b) Assuming that all sample points are equally likely, what is the probability that at least one car turns left? (Enter your probability as a fraction.)(c) Again assuming equally likely sample points, what is the probability that at most one vehicle turns? (Enter your probability as a fraction.)

Answered: Image /qna-images/answer/55a602f1-ebf9-49b3-af9d-d091135c4a1f.jpg

Answered: Consider a situation where cars…

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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A sample space contains _________________. Multiple Choice A. outcomes of the relevant events. B. several outcomes of an experiment. C. all possible outcomes of an experiment. D. one of several outcomes of an experiment.
About 8% of males are colorblind. A researcher needs colorblind subjects for an experiment and begins checking potential subjects. a. On average, how many men should the researcher expect to check before finding one who is colorblind? b. What's the probability that she won't find anyone who is colorblind among the first 4 men she asks? c. What's the probability that the first colorblind man found will be the 6" man checked? d. What's the probability that she finds someone who is colorblind before checking the 7th man?
Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability. Three coins are tossed, and the number of tails is noted.
In a recent poll of female college students, 70% stated that they plan to graduate with a STEM degree. A math teacher decides to randomly sample 15 female college students. A. Find the probability that exactly 6 out of the 15 plan to graduate with a STEM degree. B. Find the probability that between 5 and 9 (inclusive) out of the 15 plan to graduate with a STEM degree. C. Find the probability that at least 7 out of the 15 plan to graduate with a STEM degree. D. Find the expected number of female college students out of the 15 that plan to graduate with a STEM degree.
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.
A survey was being conducted to learn about attitude of a certain population towards the medical and housingplans. The survey asked the male and female respondents that how important the level of risk they had felt inchoosing a housing or a medical plan. The following table was constructed from the data provided. “High”means the respondent said level of risk was either important or very important. Male FemaleHigh 22 27Low 28 23 3 (b) List some possible events from the above random experiment. 3 (c) What is the probability of a survey respondent had said that the level of risk isHigh? Write the sample space of this random experiment. Suppose if a female respondent is selected randomly, what is the probability thisfemale respondent had said level of risk is High?
Three students scheduled interviews for summer employment at the Tiket.com. In each case the interview results in either an offer for a position or no offer. Experimental outcomes are defined in terms of the results of the three interviews.a. List the experimental outcomes.b. Define a random variable that represents the number of offers made. Is the random variable continuous?c. Show the value of the random variable for each of the experimental outcomes
b. A coach has 44 seats. The travel agency has found, from past experience, that on average 10% of people with tickets for a particular journey will not turn up. Let X be the random variable represents the number of absentee. If the travel agency sells 48 tickets for a particular journey, find the probability that more than 44 people turn up for the journey.
Which of the following is the domain of a random variable? Choose the correct answer: a. set of whole numbers b. sample space c. set of real numbers d. subset of the outcomes of the experiment
2. 46% of Canadians believe in ghosts. We randomly select a sample of 80 Canadians and ask them if they believe in ghosts. Let the random variable X be the number of Canadians in the sample who believe in ghosts. What is the approximate probability that there will be exactly 43 individuals who believe in ghosts in the sample?

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