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Answer:
0.15% probability that more than 7 of them weigh 65 lb
Step-by-step explanation:
For each dog, there are only two possible outcomes. Either they weigh 65 pounds, or more, or they do not. The probability of a dog weighing 65 pounds or more is independent of other dogs. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
30% of adult Australian sheep dogs weigh 65 pounds or more.
This means that
Sample of 10 adults dogs.
This means that
What is the probability that more than 7 of them weigh 65 lb
This is
In which
0.15% probability that more than 7 of them weigh 65 lb