Saflok is an electronic door lock system made in Troy, Michigan, and used in modern hotels and other establishments. To open a door, you must insert the electronic card into the lock slip. Then a green light indicates that you can turn the handle and enter; a yellow light indicates that the door is locked from inside, and you cannot enter. Suppose that 90% of the time when the card is inserted, the door should open because it is not locked from inside. When the door should open, a green light will appear with probability 0.98. When the door should not open, a green light may still appear (an electronic error) 5% of the time. Suppose that you just inserted the card and the light is green. What is the probability that the door will actually open?
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.
Saflok is an electronic door lock system made in Troy, Michigan, and used
in modern hotels and other establishments. To open a door, you must insert the electronic card into the lock slip. Then a green light indicates that you can turn the
handle and enter; a yellow light indicates that the door is locked from inside, and
you cannot enter. Suppose that 90% of the time when the card is inserted, the door
should open because it is not locked from inside. When the door should open, a
green light will appear with
a green light may still appear (an electronic error) 5% of the time. Suppose that you
just inserted the card and the light is green. What is the probability that the door will
actually open?
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