Among a large group of patients recover-ing from shoulder injuries, it is found that 22% visit both a physical therapist and a chiropractor, whereas 12% visit neither of these. The probability that a patient visits a chiropractor exceeds by 0.14 the probability that a patient visits a physicaltherapist. Determine the probability that a randomly chosenmember of this group visits a physical therapist. Choose one ofthe following. (Hint: Use the union rule for probability, and letx = P(patient visits a physical therapist).) Source: Society ofActuaries.a. 0.26 b. 0.38 c. 0.40d. 0.48 e. 0.62
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.
Among a large group of patients recover-
ing from shoulder injuries, it is found that 22% visit both a
physical therapist and a chiropractor, whereas 12% visit neither of these. The probability that a patient visits a chiropractor
exceeds by 0.14 the probability that a patient visits a physical
therapist. Determine the probability that a randomly chosen
member of this group visits a physical therapist. Choose one of
the following. (Hint: Use the union rule for probability, and let
x = P(patient visits a physical therapist).) Source: Society of
Actuaries.
a. 0.26
b. 0.38
c. 0.40
d. 0.48
e. 0.62
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