A survey of couples in a city found the following probabilities: The probability that the husband is employed is .85 The probability that the wife is employed is .60 The probability that both are employed is .55 A couple is selected at random. Find the probability that at least one of them is employed. Find the probability that neither is employed.
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.
A survey of couples in a city found the following probabilities:
The
The probability that the wife is employed is .60
The probability that both are employed is .55
A couple is selected at random.
- Find the probability that at least one of them is employed.
- Find the probability that neither is employed.
Let us denote the events:
H=husband is employed
W= wife is employed
Given that P(H)=0.85, P(W)=0.60, P(H and W)=0.55
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