Answer :
Yes, the experiment is a binomial experiment because it satisfies all the four characteristics of the binomial experiment :
1. Fixed number of trials
2. Exactly two outcomes
3. Outcomes are independent of each other
4. Probability of all the outcomes remains constant from trial to trial.
Success in the given experiment is that the baby recovers fully.
Hospital is caring for 6 babies , n = 6
p = 0.20 ( Success )
q = 1 - 0.20 = 0.80 ( Not a success )
Value of random variable x is the number of babies which are recovering fully, x = 0, 1, 2, 3, 4, 5 or 6
Y=2/3x-3. Follow the formula y=Mx+b. M is the slope, and b is the y intercept.
9.81 times 10 to the -5th power
Given that they follow the format for straight lines and are therefore straight lines, they would only intersect once and that would be at (0,1) where they both have a y intersect.
Hope this helps :)