The probability that a shopper will buy a PS3 is 0.40. The probability that a shopper will buy an X-Box 360 is 0.54. The probability that a shopper will buy a Nintendo DS is 0.30. The probability that a shopper will buy both a PS3 and an X-Box 360 is 0.13. The probability that a shopper will buy both a PS-3 and a DS is 0.12. The probability that a shopper will buy both an X-Box 360 and a DS is 0.07. There is no chance that a shopper will buy all three systems. Find the probability that a random shopper will: a) Buy only a PS-3 b) Buy exactly one type of system c) Buy exactly two types of systems d) Not buy any of the three systems
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.
The
The probability that a shopper will buy an X-Box 360 is 0.54.
The probability that a shopper will buy a Nintendo DS is 0.30.
The probability that a shopper will buy both a PS3 and an X-Box 360 is 0.13. The probability that a shopper will buy both a PS-3 and a DS is 0.12.
The probability that a shopper will buy both an X-Box 360 and a DS is 0.07. There is no chance that a shopper will buy all three systems.
Find the probability that a random shopper will: a) Buy only a PS-3
b) Buy exactly one type of system c) Buy exactly two types of systems d) Not buy any of the three systems
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