Answer: The required probability is 0.25.
Step-by-step explanation:
Since we have given that
Radius of the dartboard = 4 in
Area of the dartboard is given by

Radius of the shaded region = 2 in
Area of shaded region is given by

So, the probability that the dart lands in the shaded circular region is given by

Hence, the required probability is 0.25.
A binomial distribution has the following properties;
1. There is a fixed number of trials.
2. Each trial is independent of the others.
3.Each trial has a constant probability of success.
4. There are only two possible outcomes, 'success' and 'failure'.
Statements B and D meet the requirements for the variable X to have a binomial distribution.
I dont think you can do this without finding derivatives.
Answer:
1/4
Step-by-step explanation:
6/9*3/8=18/72=1/4