Suppose a sitcom is filmed on set between zero and five days per week. The following table shows the probabilities of the sitcom being filmed zero, one, two, three, four, or five days in a week. ?x ?(?)P(x) 0 0.14844 1 0.15625 2 0.23756 3 0.16222 4 0.16512 5 0.13041 The expected number of days the sitcom will be filmed in one week, ?μ, is 2.43056. Use the formula below to calculate the variance, ?2,σ2, of the number days the sitcom films, ?,x, where ?(?)P(x) is the probability of the sitcom filming for a particular number of days. ?2=∑[(?−?)2⋅?(?)]σ2=∑[(x−μ)2⋅P(x)] Provide each answer with three decimal places of precision. What is the weighted probability of two days of filming? What is the weighted probability of three days of filming? What is the weighted probability of four days of filming? What is the weighted probability of five days of filming? What is the weighted probability of zero days of filming? What is the weighted probability of one day of filming? What is the variance? (?5−?)2⋅?(?5)=(x5−μ)2⋅P(x5)= ?2=σ2=
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.
Suppose a sitcom is filmed on set between zero and five days per week. The following table shows the probabilities of the sitcom being filmed zero, one, two, three, four, or five days in a week.
| ?x | ?(?)P(x) |
|---|---|
| 0 | 0.14844 |
| 1 | 0.15625 |
| 2 | 0.23756 |
| 3 | 0.16222 |
| 4 | 0.16512 |
| 5 | 0.13041 |
The expected number of days the sitcom will be filmed in one week, ?μ, is 2.43056. Use the formula below to calculate the variance, ?2,σ2, of the number days the sitcom films, ?,x, where ?(?)P(x) is the
Provide each answer with three decimal places of precision.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 15 images
