At one time it was said that the average family has 24 child

At one time, it was said that the average family has 2.4 children. Can you think of another example of approximating a discrete variable with a continuous number?

Solution

Given that the average family has 2.4 children.

In case of binomial distribution there are two parameters n and p

where n is number of trials.

p is probability of success.

n is any natural number but p is probability integer which is lies between 0 and 1.

p can take any value between 0 and 1 that is integer.

For example.  In each of 4 races, the Democrats have a 60% chance of winning. Assuming that the races are independent of each other.

Here n is number of races = 4

probability of winning (p) = 60% = 0.60

We can see here p is continous number with discrete variable is X be the number of races the Democrats win.