When Tim Hortons used physical cups for their Roll up the Rim contest (before switching over to "digital cups") they printed the cups so that 1 out of every 6 cups would be a winner. If the winning cups are truly randomly spread throughout the country, what is the expected number of cups you would need to buy until you found a winning cup? b)What would represent a significant difference from the expected number of cups purchased before a successful cup is purchased? In other words, what is the standard deviation for the number of cups needed before a winning cup is found? c) A person feels
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.
a) When Tim Hortons used physical cups for their Roll up the Rim contest (before switching over to "digital cups") they printed the cups so that 1 out of every 6 cups would be a winner. If the winning cups are truly randomly spread throughout the country, what is the expected number of cups you would need to buy until you found a winning cup?
b)What would represent a significant difference from the expected number of cups purchased before a successful cup is purchased? In other words, what is the standard deviation for the number of cups needed before a winning cup is found?
c) A person feels they are particularly unlucky when it came to buying Tim Hortons coffee and winning Roll up the Rim. They often tell the story about how they kept buying losing coffee cups until the 16th cup was their first winning cup. What is the
d)What is the probability of buying a winning cup within your first 3 cups?
e)
The probability distribution for these questions could be best written as:
| a) |
X ~ G(q) |
| b) |
X ~ G(p) |
| c) |
X ~ B(n, p) |
| d) |
X ~ B(n, q) |
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