Emily is having a birthday party with 7 guests (not including herself) a) The kids (including the host Emily) line up in alphabetical order. Emily’s mother comes with a bucket that has cardboard cut-out number in it; it contains exactly one copy of each of the 10 numbers 0 to 9. The children line up, and each child picks a cardboard cut-out randomly and holds it up above his or her head. What is the probability that the number that is formed is 1,234,567? What is the probability that the number that is formed is greater than or equal to 4,000,000? b) 3 of the guests, Joe, Ray and Millie have brown hair; all other kids have blond hair. For a particular game, Emily’s father selects a team of 3 kids with brown hair and 2 kids with blond hair. In how many different ways can he put together this team?
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.
Emily is having a birthday party with 7 guests (not including herself)
a) The kids (including the host Emily) line up in alphabetical order. Emily’s mother comes with a bucket that has cardboard cut-out number in it; it contains exactly one copy of each of the 10 numbers 0 to 9. The children line up, and each child picks a cardboard cut-out randomly and holds it up above his or her head. What is the probability that the number that is formed is 1,234,567? What is the probability that the number that is formed is greater than or equal to 4,000,000?
b) 3 of the guests, Joe, Ray and Millie have brown hair; all other kids have blond hair. For a particular game, Emily’s father selects a team of 3 kids with brown hair and 2 kids with blond hair. In how many different ways can he put together this team?
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