Question

Step 1: Post on the discussion forum

• State a situation from some area of your life or interests
• Approximate the mean and standard deviation of a variable in that situation
• Give a sample size,
• Ask a probability question for the mean of those n being over/under a certain amount

For example, I fill my cats’ water bowls every day. I’ll estimate that each cat drinks an average of 8.5 ounces of water every day, with a standard deviation of 2 ounces. For my 3 cats, what is the probability that their average water consumption is over 9 oz in a day?

Step 2:

Answer:

I am a barista. I make around 1000 lates per week. 30 lates every week get wasted with a standard deviation of 4. What is the probability that I make under 20 get wasted!?!?

For example, if you are replying, to me, you might write:

With a sample size of 3, I’ll assume the cats’ daily water consumption follows a Normal distribution. Otherwise, the sampling distribution of the mean won’t be Normal!

I calculated the standard deviation of x̅ to be 2/√(3) ≈ 1.15, and so the probability that a random variable N(8.5, 1.15) is over 9 is 33.19% (using GeoGebra). So, this happens often, and they are lucky you are so attentive to their water bowls. =)

Answer the question above in this format. Thank you.

Answer 1

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