The australain sheep dog is breed renowned for its intelligence and work ethic it is estimate that 45% of adult australian sheep dogs weigth 65pounds or more asample of 15 adult dogs is studied what is the probalilty that more than 12 of them weigh 65 lb

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

final total: 63

step-by-step explanation:

60 times sales tax

60 times 0.05

3

60 + 3

63