5. (To turn in) Suppose that a binomial success probability p is known to be an integer multiple of 0.1. By using the binomial distribution to fill in a table like the one below, find an 80%...

Binomial success probability
The binomial distribution here is having n the same = 3
P is unknown but p can take values as 0, 0.1, 0.2….1
i.e. multiples of 0.1 : p = 0.1 k , k = 0,1,2…10
The table below shows the filled up probabilities
The formula used is
P(X=r) = 3Cr p
r
(1-p)
n-r
, r = 0,1,2,3
Also p can take values from 0.0 to 1.0 at intervals of 0.1

Success probability p
x 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
0 1 0.729 0.512 0.343 0.216 0.125 0.064 0.027 0.008 0.001 0
1 0 0.243 0.384 0.441 0.432 0.375 0.288 0.189 0.096 0.027 0
2 0 0.027 0.096 0.189 0.288 0.375 0.432 0.441 0.384 0.243 0
3 0 0.001 0.008 0.027 0.064 0.125 0.216 0.343 0.512 0.729 1
Total...