Solve the problem a. Let P(A) be the probability that a particular US firm will be acquired by a Japanese firm. Let P(B) be the probability that this US firm will increase its debt. Suppose that P(A)=0.4, P(B)=0.5, and P(A and B)=0.3. Determine P(A or B), P(A/B), and P(B/A). b. Suppose that A and B are mutually exclusive events, find P(A and B) and P(A or B) if P(A)=0.4 and P(B)=0.2. c. Suppose that A and B are independent events, find P(A’ and B’) and P(A’ or B’) if P(A)=0.5 and P(B)=0.1. Note that A’ stands for the complement of A where A is an even
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.
Solve the problem
a. Let P(A) be the probability that a particular US firm will be acquired by a
Japanese firm. Let P(B) be the probability that this US firm will increase
its debt. Suppose that P(A)=0.4, P(B)=0.5, and P(A and B)=0.3.
Determine P(A or B), P(A/B), and P(B/A).
b. Suppose that A and B are mutually exclusive events, find P(A and B) and
P(A or B) if P(A)=0.4 and P(B)=0.2.
c. Suppose that A and B are independent events, find P(A’ and B’) and P(A’
or B’) if P(A)=0.5 and P(B)=0.1.
Note that A’ stands for the complement of A where A is an
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