mathematics with applications lial For each of the experimen

For each of the experiments described let x determine a random variable and use your knowledge of probability to prepare a probability distribution. Four children are born and the number of boys is noted. (Assume an equal chance of a boy or a girl for each birth.) Two dice are rolled, and the total number of dots is recorded. Three cards are drawn from a deck. The number of Queens are counted.

Solution

1. Its a binomial dsitribution

The parameter are going to be n = 4, x=0 to 4, p=1/2

2. Its a normal distribution.The more the number roles of die the more normal its going to approach

3.Its a binomial distribution.

The params are: n = 3, x=1 to 3, p = 4/52 = 1/13