For the following situations, identify whether or not X has a Binomial distribution. If it does, give n and p; if not, explain why not. a. Amy goes out for lunch 7 days a week. Each day there is a 25% chance she will choose pizza. Let X be the number of times she chose pizza last week. b. Brenda plays basketball, and there is a 60% chance she makes a free throw. Let X be the number of successful baskets she makes in a game. c. A bowl contains 100 red candies and 150 blue candies. Carl reaches and takes out a sample of 10 candies. Let X be the number of red candies in his sample. d. Evan is reading a 600-page book. On even-numbered pages, there is a 1% chance of a typo. On odd-numbered pages, there is a 2% chance of a typo. Let X be the number of typos in the book. e. Fran is reading a 600-page book. The number of typos on each page has a Bernoulli distribution with p = 0.01. Let X be the number of typos in the book.
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.
For the following situations, identify whether or not X has a Binomial distribution.
If it does, give n and p; if not, explain why not.
a. Amy goes out for lunch 7 days a week. Each day there is a 25% chance she will choose pizza. Let X be
the number of times she chose pizza last week.
b. Brenda plays basketball, and there is a 60% chance she makes a free throw. Let X be the number of
successful baskets she makes in a game.
c. A bowl contains 100 red candies and 150 blue candies. Carl reaches and takes out a sample of 10
candies. Let X be the number of red candies in his sample.
d. Evan is reading a 600-page book. On even-numbered pages, there is a 1% chance of a typo. On
odd-numbered pages, there is a 2% chance of a typo. Let X be the number of typos in the book.
e. Fran is reading a 600-page book. The number of typos on each page has a Bernoulli distribution with
p = 0.01. Let X be the number of typos in the book.
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