5. A group of executives is classified according to the status of body weight and incidence of hypertension.The proportions in the various categories appear in the following table.Overweight Normal Weight Underweight Total0.100.02HypertensiveNot Hypertensive0.080.200.150.450.200.80Total0.250.530.221.00(a) What is the probability that a person selected at random from this group has hypertension?(b) What is the probability that a person selected at random from this group has hypertension or isoverweight?(c) A person, selected at random from this group, is found to be overweight. What is the probability thatthispersonis hypertensive?(d) Are the events, {being overweight} and {being hypertensive}, independent?(e) Are the events, {being overweight} and {being hypertensive}, mutually exclusive?

Here Take P(H)= PROBABILITY OF HYPERTENSION P(NH)=PROBABILITY OF NOT HYPERTENSION P(O)= PROBABILITY…

Answered: (a) What is the probability that a…

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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According to a survey, 25% of residents of a country 25 years old or older had earned at least a bachelor's degree. You are performing a study and would like at least 10 people in the study to have earned at least a bachelor's degree. (a) How many residents of the country 25 years old or older do you expect to randomly select? (b) How many residents of the country 25 years old or older do you have to randomly select to have a probability 0.96 that the sample contains at least 10 who have earned at least a bachelor's degree? (a) The number of randomly selected residents is 40. (Round up to the nearest integer.) (b) The number of randomly selected residents, with a probability 0.96 containing at least 10 who have earned at least a bachelor's degree, is . (Round up to the nearest integer.)
1. (a) In a population, 4% of the women are pregnant. A particular home pregnancy test comes back positive for a pregnant woman 95% of the time. However, this test comes back positive even though the woman is not pregnant 5% of the time. i. A woman who is not pregnant takes the test. What is the probability that the test will come back negative? ii. What is the probability that a randomly selected woman tests positive for pregnancy? iii. What is the probability that a randomly selected woman who tested pos- itive for pregnancy is actually pregnant?
Suppose Nate wins 25% of all thumb wars. (a) What is the probability that Nate wins two thumb wars in a row? (b) What is the probability that Nate wins three thumb wars in a row? (c) When events are independent, their complements are independent as well. Use this result to determine the probability that Nate wins three thumb wars in a row, but does not win four in a row. (a) The probability that Nate wins two thumb wars in a row is 0.0625 (Round to four decimal places as needed.) (b) The probability that Nate wins three thumb wars in a row is (Round to four decimal places as needed.) (c) The probability that Nate wins three thumb wars in a row, but does not win four in a row is (Round to four decimal places as needed.)
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2) A public health organization reports that 40%of baby boys 6-8 months old in the United States weigh more than 20 pounds. A sample of 10 babies is studied. Round the answers to three decimal places. (a) What is the probability that exactly 4 of them weigh more than 20 pounds? (b) What is the probability that more than 4 weigh more than 20 pounds? (c) What is the probability that fewer than 3 weigh more than 20 pounds? (d) Would it be unusual if more than 7 of them weigh more than 20 pounds?
One consumer from the survey is selected at random. Round your answers to two decimals. (a) What is the probability a randomly selected individual has no health insurance? (b) What is the probability that a randomly selected individual has no health insurance, given that they were 64 years old? (c) What is the probability that a randomly selected individual has private health insurance and is 25-34? (d) What is the probability that a randomly selected individual has government health insurance or is 35-55?
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