MAC 15 First, consider an 'experiment' where we will toss a fair die and let X = the number of dots facing up. of course the possible values for X are 1, 2, 3, 4, 5 and 6 and each of these is equally likely. Show the probability distribution for X using the first two columns in the table below. Avoid rounding errors, show the probabilities as fractions - not as decimals. Next fill in the next two columns using fractions. Don't reduce fractions as you'll want to have a common denominator in each column. * means multiply x P(X = x) x * P(X = x) x^2 * P(X = x) 1 2 3 4 5 6 SUM a) Express the Expected Value of X, also known as the mean, u, as both a reduced fraction and as a decimal b) show your work to find variance and standard deviation in both fraction and decimal.
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.
MAC 15
First, consider an 'experiment' where we will toss a fair die and let X = the number of dots facing up. of course the possible values for X are 1, 2, 3, 4, 5 and 6 and each of these is equally likely. Show the probability distribution for X using the first two columns in the table below. Avoid rounding errors, show the probabilities as fractions - not as decimals. Next fill in the next two columns using fractions. Don't reduce fractions as you'll want to have a common denominator in each column.
* means multiply
| x | P(X = x) | x * P(X = x) | x^2 * P(X = x) |
| 1 | |||
| 2 | |||
| 3 | |||
| 4 | |||
| 5 | |||
| 6 | |||
| SUM |
a) Express the
b) show your work to find variance and standard deviation in both fraction and decimal.
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