Answer:
There are 20 ducklings.
Step-by-step explanation:
For every group of 6 ducks, 5 would be ducklings.
24 / 6 = 4
There are 4 groups of ducks.
5 * 4 = 20
The given MGF is that for a random variable following a Poisson distribution with parameter

.
This means

, and

has PMF

So, the desired probability is

This is equivalent to
4/7 the question is relative
Slope = (Y2-Y1) / (X2-X1)
hope that's helpful