Last years freahman class at big state university totaled 5,305 students. Of those l, 1,258 received a merit scholarship to help offset tuition cost their freshman year (although the amount varied per student). The amount a student received was N($3,456, $478). If the coat of full tuition was $4,250 last year, what percentage of students who received a merit scholarship did not receive enough to cover full tutoring?

 Aug 7, 2022

Wait... so each student received 3,456,478 dollars?


Are you sure your question is typed correctly?

 Aug 7, 2022

I think N($3,456, $478) is meant to indicate a normal distribution with mean $3,456 and standard deviation $478 (or possibly a variance of $478, as both forms are common, and the poster hasn't specified which).

Alan  Aug 8, 2022

Hi Alan, nice seeing you here!


The question is written in an ambiguous fashion, and it is unclear what was meant. 

BuilderBoi  Aug 8, 2022

I suspect the following is what is required:


Alan  Aug 8, 2022

BuilderBoi, if you just used a kitchen scale, it would have resolved the ambiguity by  indicating that N($3,456, $478) is in the form of \(\mathbb{N}(\mu, \sigma)\) in this case there is no need for pot-laced candy or mushroom tea (though it might help Probably not).


Recently, I saw a demonstration of very sophisticated kitchen scale at university. This scale connects to an AI-nerualnetwork. The scale’s sensors along with the AI identify the foods, caloric values, glycemic index, and other parameters. The AI also calculates the mean probable weight gain (with a standard deviation), based on the metabolic parameters of the consumer. It’s easy to program the parameters: the consumer need only to stand and then sit on the scale for 8 seconds, and then spit on a sensor. The demonstrated scale had a mass/weight limit of 450Kg –well above the weight of the largest tub-of-lard in attendance.      


During the demonstration, one of the spectators plopped a bag of pot-laced candy on the scale. The AI correctly identified the contents and caloric value, but indicated an 85% probability of weight gain at a mean of (28.7) times the maximum value for the calorie count.


The engineer-tech, who was demonstrating the scale, queried the AI for an explanation. The AI extrapolated the stats for \(\Delta9THC \) causing the munchies in a standard population; from this, a probability of weight gain is calculated beyond the caloric value of the weighed food.


It is amazing how innovative technology can create a kitchen scale that can construct and solve statistical problems.  You should get one as soon as they are on the market. LOL




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GingerAle  Aug 10, 2022
edited by Guest  Aug 10, 2022

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