The probability that my son gets enough sleep at night is 58% and the probability that he gets in trouble in school is 27%. The probability that he gets enough sleep at night or gets in trouble inschool is 70%.Use a Venn Diagram to find the probability that he doesn't get in trouble in school given that he gets enough sleep at night.The probability that my son doesn't get into trouble in school given that he gets enough sleep at night is(Round your answer to 4 decimal places)

Answered: The probability that my son gets enough…

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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Every summer, Madison goes on a week- long canoe trip with her childhood camp friends. After the trip, she usually purchases some oars from the destination city. Her collection of oars is organised by year and type of wood. The probability that an oar was purchased in 2013 is 0.4, the probability that it was made from spruce wood is 0.4 and the probability that it was purchased in 2013 and was made from spruce wood is 0.1. What is the probability that a randomly chosen oar was purchased in 2013 or was made from spruce wood?
Approximately 18% of shoppers used cellphones to look for deals. THe probability of making a purchase was 0.45 if a person used a cell phone to shop. For a randomly selected shoppers, what is the probability that the person used a cell phone and made a purchase?
On the first day of music class, students submitted a survey. One survey question asked students to report which music genre they prefer. Another question asked students how frequently they sing in the shower. The probability that a student prefers metal is 0.7, the probability that a student sings in the shower 1-2 times a week is 0.4 and the probability that a student prefers metal and sings in the shower 1-2 times a week is 0.3. What is the probability that a randomly chosen student prefers metal or sings in the shower 1-2 times a week?
Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx
a. In CSE230, there were 2 assignments this semester. The probability that you would get above average marks in the first and the second assignments are 0.7 and 0.6 respectively. But if someone gets the above average marks in the first assignment, the probability of getting above average marks in the second assignment becomes 0.9. What is the probability to get above average marks in both the assignments?
Attorneys often use lie detectors to test if a suspect is speaking the truth or not. It is found that the lie detector gives a positive result 64% of the time. The suspect is found to lie for 81% of the positive results and 15% of the negative results. a. If a suspect is actually lying, what is the probability that the lie detector gives a positive test result? b. If the suspect is not lying, what is the probability that the lie detector gives a negative result? Note:Answer in exact fraction, or rounded to at least 4 decimal places
A survey conducted on students of XYZ University reported the number of male and female students and their majors. The data obtained are given in the following table. Science Politics Total Men 109 13 122 Women 10 23 33 Total 119 36 155 a. What is the probability that a student majors in Science?b. What is the probability that a student majoring in Science of or being a male?c. What is the probability that a student majoring in Sciences and is given that he is a man?
A novice marksman is shooting at a target 1000 feet away. The probability of his hitting the target is 0.3. a. What is the probability that he hits the target on the 25th shot? b What is the probability that he will have to shoot more than 200 times to hit the target? c. What is the probability that the number of shots he has to take to hit the target is greater than or equal to 60? d. What is the probability it will take him more than 1020 shots to hit it? e. What is the probability that the number of shots he will have to make to hit the target is 20 or fewer? f. What is the expected number of shots it will take him to hit the target? g. What is the variance of the number of shots needed to hit the target?
The probability of finding a gold card is 0.03. What is the probability that 2 out of 25 randomly selected cards are a gold card?

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