To explain why the chance of a woman get-ting breast cancer in the next year goes up each year, while the chance of a woman getting breast cancer in her lifetime goesdown, Ruma Falk made the following analogy. Suppose youare looking for a letter that you may have lost. You have 8drawers in your desk. There is a probability of 0.1 that the letteris in any one of the 8 drawers and a probability of 0.2 that theletter is not in any of the drawers. Source: Chance News.a. What is the probability that the letter is in drawer 1? b. Given that the letter is not in drawer 1, what is the prob-ability that the letter is in drawer 2? c. Given that the letter is not in drawer 1 or 2, what is theprobability that the letter is in drawer 3? d. Given that the letter is not in drawers 1–7, what is the prob-ability that the letter is in drawer 8? e. Based on your answers to parts a–d, what is happening tothe probability that the letter is in the next drawer?f. What is the probability that the letter is in some drawer? g. Given that the letter is not in drawer 1, what is the prob-ability that the letter is in some drawer? h. Given that the letter is not in drawer 1 or 2, what is theprobability that the letter is in some drawer? i. Given that the letter is not in drawers 1–7, what is the prob-ability that the letter is in some drawer? j. Based on your answers to parts f–i, what is happening tothe probability that the letter is in some drawer?
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.
To explain why the chance of a woman get-
ting breast cancer in the next year goes up each year, while the
chance of a woman getting breast cancer in her lifetime goes
down, Ruma Falk made the following analogy. Suppose you
are looking for a letter that you may have lost. You have 8
drawers in your desk. There is a
is in any one of the 8 drawers and a probability of 0.2 that the
letter is not in any of the drawers. Source: Chance News.
a. What is the probability that the letter is in drawer 1?
b. Given that the letter is not in drawer 1, what is the prob-
ability that the letter is in drawer 2?
c. Given that the letter is not in drawer 1 or 2, what is the
probability that the letter is in drawer 3?
d. Given that the letter is not in drawers 1–7, what is the prob-
ability that the letter is in drawer 8?
e. Based on your answers to parts a–d, what is happening to
the probability that the letter is in the next drawer?
f. What is the probability that the letter is in some drawer?
g. Given that the letter is not in drawer 1, what is the prob-
ability that the letter is in some drawer?
h. Given that the letter is not in drawer 1 or 2, what is the
probability that the letter is in some drawer?
i. Given that the letter is not in drawers 1–7, what is the prob-
ability that the letter is in some drawer?
j. Based on your answers to parts f–i, what is happening to
the probability that the letter is in some drawer?
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