Answer:
The probability is 0.0011 to 4 d.p
Step-by-step explanation:
Let p = probability of the dog weighing more than 65 pounds or more = 45% = 45/100 = 0.45
q is weighing less than = 1-p = 1 - 0.45 = 0.55
So the probability of more than 12 weigh 65 lb
That means 13, 14 or 15 weigh more than 65 lb
We can use Bernoulli approximation of Binomial distribution to get this;
That would be ;
15 C 13 0.45^13 0.55^2 + 15 C 14 0.45^14 0.55 + 15 C 15 0.45^15 0.55^0
= 0.001107024147 Which is approximately 0.0011 to 4 decimal place