# Question: Southwest Co op produces bags of fertilizer and it is concerned

Southwest Co-op produces bags of fertilizer, and it is concerned about impurity content. It is believed that the weights of impurities per bag are normally distributed with a mean of 12.2 grams and a standard deviation of 2.8 grams. A bag is chosen at random.

a. What is the probability that it contains less than 10 grams of impurities?

b. What is the probability that it contains more than 15 grams of impurities?

c. What is the probability that it contains between 12 and 15 grams of impurities?

d. It is possible, without doing the detailed calculations, to deduce which of the answers to parts (a) and (b) will be the larger. How would you do this?

a. What is the probability that it contains less than 10 grams of impurities?

b. What is the probability that it contains more than 15 grams of impurities?

c. What is the probability that it contains between 12 and 15 grams of impurities?

d. It is possible, without doing the detailed calculations, to deduce which of the answers to parts (a) and (b) will be the larger. How would you do this?

**View Solution:**## Answer to relevant Questions

A contractor has concluded from his experience that the cost of building a luxury home is a normally distributed random variable with a mean of $500,000 and a standard deviation of $50,000. a. What is the probability that ...A furniture manufacturer has found that the time spent by workers assembling a particular table follows a normal distribution with a mean of 150 minutes and a standard deviation of 40 minutes. a. The probability is 0.9 that ...Given a random sample size of n = 900 from a binomial probability distribution with P = 0.10 do the following: a. Find the probability that the number of successes is greater than 110. b. Find the probability that the number ...Bags of a chemical produced by a company have impurity weights that can be represented by a normal distribution with a mean of 12.2 grams and a standard deviation of 2.8 grams. A random sample of 400 of these bags is taken. ...Swapna David is a customer assistant consultant for Acme Information Systems, who provides assistance for computer users. The mean number of calls per hour is 40 from across the United States and calls are independent. She ...Post your question