The following table gives joint probabilities as to whether an adult American male has high blood pressure and/or high cholesterol: Blood Pressure High OK .18 .22 Cholesterol High OK .15 .45 (a)What is the probability that an adult American male has both conditions? (b)What is the probability that an adult American male has high blood pressure? (c)What is the probability that an adult American male with high blood pressure also has high cholesterol? (d)Are “having high blood pressure" and "having high cholesterol" independent? Why?

The following table gives joint probabilities as to whether an adult American male has high blood pressure and/or high cholesterol: Blood Pressure High OK .18 .22 Cholesterol High OK .15 .45 (a)What is the probability that an adult American male has both conditions? (b)What is the probability that an adult American male has high blood pressure? (c)What is the probability that an adult American male with high blood pressure also has high cholesterol? (d)Are “having high blood pressure" and "having high cholesterol" independent? Why?

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Description: The following table gives joint probabilities as to whether an adult Americanmale has high blood pressure and/or high cholesterol:Blood PressureHigh OK.18 .22CholesterolHighOK.15.45(a)What is the probability that an adult American male has both cond

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

The following table gives joint probabilities as to whether an adult American
male has high blood pressure and/or high cholesterol:
Blood Pressure
High OK
.18 .22
Cholesterol
High
OK
.15
.45
(a)What is the probability that an adult American male has both conditions?
(b)What is the probability that an adult American male has high blood pressure?
(c)What is the probability that an adult American male with high blood pressure also has
high cholesterol?
(d)Are “having high blood pressure" and "having high cholesterol" independent? Why?

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