Problem #3: Salt is packed in bags labelled "1kg", w/ bags' weights being normally di

snake1k1

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Problem #3: Salt is packed in bags labelled "1kg", w/ bags' weights being normally di

Salt is packed in bags labelled 1kg. The weight of the bags is found to be normally distributed. The probability that a bag weighs less than 995 grams is 0.0214 and the probability that a bag weighs more than 1005 grams is 0.1450.

(a) Calculate the mean weight and standard deviation of the salt bags. Give your answers in grams correct to 2 decimal places.

(b) What is the probability that a bag will weigh at least 1kg?

(c) If bags that weigh less than 1kg are discarded, what percentage (to 2 decimal places) of bags will be discarded (i.e. thrown away)?

Bags weighing at least 1kg are put in boxes

(d) What is the probability that a bag being put in a box will weigh more than 1005 grams?

Each box contains 20 bags. A box is chosen at random

(e) What is the probability that no more than 5 bags in the box weigh more than 1005 grams?

(f) What is the expected number of bags in the box that will weigh more 1005 grams?

(g) If ten boxes are selected, what is the probability there will be less than six boxes with no more than 5 bags weighing more than 1005 grams?
 
Salt is packed in bags labelled 1kg. The weight of the bags is found to be normally distributed. The probability that a bag weighs less than 995 grams is 0.0214 and the probability that a bag weighs more than 1005 grams is 0.1450.

(a) Calculate the mean weight and standard deviation of the salt bags. Give your answers in grams correct to 2 decimal places.

(b) What is the probability that a bag will weigh at least 1kg?

(c) If bags that weigh less than 1kg are discarded, what percentage (to 2 decimal places) of bags will be discarded (i.e. thrown away)?

Bags weighing at least 1kg are put in boxes

(d) What is the probability that a bag being put in a box will weigh more than 1005 grams?

Each box contains 20 bags. A box is chosen at random

(e) What is the probability that no more than 5 bags in the box weigh more than 1005 grams?

(f) What is the expected number of bags in the box that will weigh more 1005 grams?

(g) If ten boxes are selected, what is the probability there will be less than six boxes with no more than 5 bags weighing more than 1005 grams?
What are your thoughts? What have you tried? How far have you gotten? Where are you stuck? For instance, what is the relationship between means, standard deviations, z-scores, and probabilities? And so forth.

Please be complete. Thank you! :wink:
 
What are your thoughts? What have you tried? How far have you gotten? Where are you stuck? For instance, what is the relationship between means, standard deviations, z-scores, and probabilities? And so forth.

Please be complete. Thank you! :wink:

Need help with pretty much everything. :(
 
Need help with pretty much everything. :(
Since you appear to have no knowledge of how means, deviations, and z-scores relate (do you even know what these are?), I will guess that you're trying to "study" for some sort of placement test and have not in fact actually studied statistics. Unfortunately, there is no way to learn this material from one worked solution. You really do need to take the course.
 
Since you appear to have no knowledge of how means, deviations, and z-scores relate (do you even know what these are?), I will guess that you're trying to "study" for some sort of placement test and have not in fact actually studied statistics. Unfortunately, there is no way to learn this material from one worked solution. You really do need to take the course.

Thanks for the advice. However, still any help figuring out the solution would be very helpful and much appreciated.
 
Thanks for the advice. However, still any help figuring out the solution would be very helpful and much appreciated.
The help was the suggestion that you use the relationship between means, deviations, and z-scores. But until you take a course in statistics (studying the various chapters covering these topics), no "help" is going to help, since you don't have the background necessary to make use of the suggestions provided.

Are you asking for lesson links, so you can attempt online self-study?
 
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