In a group of 40 people, 10 are healthy and every person of the remaining 30 has high blood pressure, a high level of cholesterol or both. If 15 have high blood pressure and 25 have high level of cholesterol, how many people have high blood pressure and a high level of cholesterol? Use information given in to answer the following questions i. If a person is selected randomly from this group, what is the probability that he/she has high blood pressure (event A)?                                                                 ii. If a person is selected randomly from this group, what is the probability that he/she has high level of cholesterol (event B)? iii. If a person is selected randomly from this group, what is the probability that he/she has high blood pressure and high level of cholesterol (event A and B)?  iv. If a person is selected randomly from this group, what is the probability that he/she has either high blood pressure or high level of cholesterol (event A or B)? v. Use the above to check the probability formula: P (A or B) = P(A) + P(B) - P(A and B).

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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In a group of 40 people, 10 are healthy and every person of the remaining 30 has high blood pressure, a high level of cholesterol or both. If 15 have high blood pressure and 25 have high level of cholesterol, how many people have high blood pressure and a high level of cholesterol?

Use information given in to answer the following questions

i. If a person is selected randomly from this group, what is the probability that he/she has high blood pressure (event A)?                                                                

ii. If a person is selected randomly from this group, what is the probability that he/she has high level of cholesterol (event B)?

iii. If a person is selected randomly from this group, what is the probability that he/she has high blood pressure and high level of cholesterol (event A and B)?

 iv. If a person is selected randomly from this group, what is the probability that he/she has either high blood pressure or high level of cholesterol (event A or B)?

v. Use the above to check the probability formula: P (A or B) = P(A) + P(B) - P(A and B).

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