At a drug rehab center 33% experience depression and 25% experience weight gain. 16% experience both. If a patient from the center is randomly selected, find the probability that the patient (Round all answers to four decimal places where possible.) a. experiences neither depression nor weight gain. b. experiences depression given that the patient experiences weight gain. c. experiences weight gain given that the patient experiences depression. (round to 4 decimal places) d. Are depression and weight gain mutually exclusive? yes no e. Are depression and weight gain independent? no yes
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.
At a drug rehab center 33% experience depression and 25% experience weight gain. 16% experience both. If a patient from the center is randomly selected, find the probability that the patient (Round all answers to four decimal places where possible.)
a. experiences neither depression nor weight gain.
b. experiences depression given that the patient experiences weight gain.
c. experiences weight gain given that the patient experiences depression. (round to 4 decimal places)
d. Are depression and weight gain mutually exclusive?
- yes
- no
e. Are depression and weight gain independent?
- no
- yes
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