Determining probability using mean and standard deviation.
A food processing company packages a product that is periodically inspected by the Food and Drug Administration. The FDA has ruled that the company's product may have no more than 2.00 grams of a certain toxic substance in it. Past records of the company show that packages of this product have a mean weight of toxic substance equal to 1.25 grams per package and that the weights are normally distributed around 1.25 grams with a standard deviation of 0.25 gram.
What proportion of the individual packages exceed the FDA limit?
A team of FDA inspectors is on its way to inspect a random sample of the company's output. The inspectors plan to take preliminary sample of 25 packages. If they find that the mean weight of toxic substance in the sample exceeds 1.75 grams, they will close down the plant and have an extensive inspection of the company's entire inventory. What is the probability that they will close the plant?
- Plain text response
- Attached file(s):
- Prob-redone.doc
- Your Information is Secure
- Best Online Academic Help Service
- Students find real academic Success
- Probability Questions - Let’s assume you have taken 100 samples of size 36 each from a normally distributed population. Calculate the standard deviation of the sample means if the population’s variance is 25. Find P(9 < x ...
- Probability - Employees of a local company are classified according to gender and job type. The following table summarizes the number of people in each job category. Male (M) ...
- Finding a normal distributed probability - The state's smallest animal is a red-tailed gerbil, with a mean weight of 2.5 grams and a standard deviation of 0.25 grams. Assuming that the weights are normally distributed, find the probability of ...
- Probability - Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and a standard deviation of 1 degrees C. A thermometer is randomly selected and tested. Find the probab ...
- Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and a standard deviation of 1.00 degree C. - Dear OTA, Please help me in solving the following problems. ======================= Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and a standard ...
