Question

3. Eighty percent of the dogs at a local kennel are in good health. If the events "a randomly selected dog at this kennel is in good health" and "a randomly selected dog at this kennel

weighs more than 30 pounds" are independent, what do you know about the probability that a randomly selected dog that weighs more than 30 pounds will be in good health?
Justify your answer.

Answer 1

80% or 0.80

Explanation:

Data provided in the question:

Probability that the dogs at a local kennel are in good health = 80% = 0.80

Since, Both the events are independent

Therefore,

The event that is selected dog weighs more than 30 pounds.

This will not change the probability of the independent event

Hence,

The probability that a randomly selected dog that weighs more than 30 pounds will be in good health will also be 80% or 0.80