There are two traffic lights on a commuter's route to from work. Let X1 be the number of lights at which the commuter must stop on his way to work, and X2 be the number of lights at which he must stop when returning from work. Suppose these two variables are independent each with pmf given in the accompanying table (so X1, X2 is a random sample of size n = 2). x1 0 1 2 p(x1) 0.2 0.5 0.3 μ=1.1,σ=0.49 a. Determine the pmf of T0=X1+X2
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.
There are two traffic lights on a commuter's route to from work. Let X1 be the number of lights at which the commuter must stop on his way to work, and X2 be the number of lights at which he must stop when returning from work. Suppose these two variables are independent each with pmf given in the accompanying table (so X1, X2 is a random sample of size n = 2).
| x1 | 0 | 1 | 2 |
|---|---|---|---|
| p(x1) | 0.2 | 0.5 | 0.3 |
μ=1.1,σ=0.49
a. Determine the pmf of T0=X1+X2
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
