### Probability and Statistics: Conditional Probability---**Scenario:**Suppose there is a 10.1% probability that a randomly selected person aged 35 years or older is a smoker. In addition, there is a 13.4% probability that a randomly selected person aged 35 years or older is male, given that he or she smokes. What is the probability that a randomly selected person aged 35 years or older is male and smokes? Would it be unusual to randomly select a person aged 35 years or older who is male and smokes?---**Question:**The probability that a randomly selected person aged 35 years or older is male and smokes is (Round to three decimal places as needed).**Follow-up Question:**Would it be unusual?- Yes- No

To find: 1.The probability that randomly selected person aged 35 years or older is male and smoker…

Answered: Suppose there is a 10.1% probability…

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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The local weather forecaster predicts that there is a 12% chance of rain on each day next week. Assuming his prediction is accurate and that the chance of rain in a given day does not depend on the chance of rain in a different day, what is the probability it will rain on at least 4 of the days next week?
In a certain high school, the probability that a student drops out is 0.1, and the probability that a dropout gets a high-school equivalency diploma (GED) is 0.25. What is the probability that a randomly selected student gets a GED?
It has been determined that the probability of a hurricane occuring on a certain day in a certain area is 4%. What is the probability that a hurricane does not occur on that day?
It has been determined that there is a 75% chance of a person using their seatbelt when sitting in the back seat of a car. If 8 people leave a party and take cabs home, which of the following would be used to find the probability that 6 of them use their seatbelt when sitting in the back seat?
Suppose 50% of the students in school have a part time job. Among those who have a partime job, 20% of them need to work at least 20 hours per week. If you randomly select a student in school, what’s the probability that the student does not work or works less than 20 hours per week?
The probability that an individual has 20-20 vision is 0.14. In a class of 77 students, what is the probability of finding exactly 5 people with 20-20 vision? assuming finding an individual with a 20-20 vision is independent of finding another individual with 20-20 vision.
Suppose that about 55% of the people who are murdered actually knew the murderer. Suppose that a detective file in Boston has 51 current unsolved murders. What is the probability that fewer than 21 victims knew their murderer?
Suppose that if person with tuberculosis is given a TB screening, the probability that his or her condition will be detected is 0.90. If a person without tuberculosis is given a TB screening , the probability that he or she will be diagnosed incorrectly as having tuberculosis is 0.3. Suppose, further, that 11% of the adult residents of a certain city have tuberculosis. If one of these adults is diagnosed as having tuberculosis based on the screening, what is the probability that he or she actually has tuberculosis?
Suppose that 40% of Tulane undergraduates intend to continue on to graduate school after completing their undergraduate degrees. Suppose we randomly select 20 Tulane undergraduates. Find the probability that at least 10 of the students in the sample intend to continue on to graduate school.

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