Im stuck in this statistics problem

  • Thread starter Thread starter 619snake
  • Start date Start date
  • Tags Tags
    Statistics Stuck
AI Thread Summary
The discussion revolves around a statistics homework problem involving normally distributed weights of items from a production line, with a mean of 12 ounces and a standard deviation of 2 ounces. Quality control requires weights to be between 8 and 16 ounces, and the user is tasked with finding the probability that exactly 3 out of 7 randomly selected items meet these requirements. Initial calculations indicate a probability of success for each item of 0.9544, but there is confusion about whether to apply a binomial distribution for the 3 out of 7 scenario. Clarification is needed on whether the problem asks for the probability of exactly 3 items fulfilling the quality control requirements. The discussion highlights the importance of correctly interpreting the problem's requirements to proceed with the calculations.
619snake
Messages
29
Reaction score
0

Homework Statement



the weight of items produced by a production line is normally distributed with a mean of 12 ounces and a standard deviation of 2 ounces.
Suppose that quality control requires the weight of items to be within 8 and 16 ounces. You select 7 items at random (each item is independent). What is the probability that 3 items will fulfill quality control requirements.

What I have to the moment is:
X~n(12,2)
P(x<16) - P(x<8)
z=(16-12)/2
z=2

z= (8-12)/2
z=-2

p(z<2)-P(z<-2)
=.9772-.0228
=.9544

p(x>20)
z=(20-12)/2
z=4
P(z>4) = 1

Those where other requirements of the problem. I'm stuck at the supposing, can't decide if it is binomial or not, and how to start the procedure
 
Physics news on Phys.org
So you calculated the probability of success for each trial to be 0.9544? That takes care of the supposing part. Now figure out what the 3 out of 7 means.

.. personally I can't tell. Is it asking for _exactly_ 3 out of 7?
 
Thread 'Confusion regarding a chemical kinetics problem'
TL;DR Summary: cannot find out error in solution proposed. [![question with rate laws][1]][1] Now the rate law for the reaction (i.e reaction rate) can be written as: $$ R= k[N_2O_5] $$ my main question is, WHAT is this reaction equal to? what I mean here is, whether $$k[N_2O_5]= -d[N_2O_5]/dt$$ or is it $$k[N_2O_5]= -1/2 \frac{d}{dt} [N_2O_5] $$ ? The latter seems to be more apt, as the reaction rate must be -1/2 (disappearance rate of N2O5), which adheres to the stoichiometry of the...
I don't get how to argue it. i can prove: evolution is the ability to adapt, whether it's progression or regression from some point of view, so if evolution is not constant then animal generations couldn`t stay alive for a big amount of time because when climate is changing this generations die. but they dont. so evolution is constant. but its not an argument, right? how to fing arguments when i only prove it.. analytically, i guess it called that (this is indirectly related to biology, im...
Back
Top