The probability that they have an average weight of greater than 10 pounds and less than 15 pounds is 0.84134
In this question we have been given there are 250 dogs at a dog show who weigh an average of 15 pounds, with a standard deviation of 6 pounds. of 10 dogs are chosen at random.
We need to find the probability that they have an average weight of greater than 10 pounds and less than 15 pounds.
Given, μ = 12, σ = 8, n = 4
P(X > 8)
= P(z > (8 - 12 / 8/√4))
= P(z > -1)
= 1 - P(z ≤ -1)
= 1 - [1 - P(z ≤ 1)]
= P(z ≤ 1)
= 0.84134
Therefore, the required probability is 0.84134
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