mathematics

according to a manufacturer, the average weight of a cereal box they produced is 20 ounces with a standard deviation of 0.5 ounce.

a) if a random sample of 1000 boxes are selected, what is the probability that the weight is less than 19.5 ounces?

b) what is the probability that the cereal boxes weigh more than 21 ounces?

c) what is the probability that the cereal boxes weigh between 19.95 and 21.5 ounces?

1. 👍
2. 👎
3. 👁
1. By far the best applet for this kind of work is
davidmlane.com/normal.html

You can enter the data as is, without finding z-scores

1. 👍
2. 👎

Similar Questions

1. stats

Buckley Farms ships its chips in boxes that contain 6 bags. The empty boxes have a mean weight of 10 ounces and a standard deviation of 0.05 ounces. Calculate the mean and standard deviation of the total weight of a box containing

3. science

Examine the situation. Lloyd is studying the effect of breakfast cereal on the health of rats. He suspects that the cereal may be unhealthy. He feeds rats various amounts of breakfast cereal over a six-week period. He weighs the

4. Statistics

If it is claimed that the contents of soaps boxes sold weigh on average at least 20 ounces. The distribution of weight is known to be normal; We assume \sigma = 0.5σ=0.5 is known n=30 sample mean weight = 18.5 ounces. Test at the

1. stats

Buckley Farms produces homemade potato chips that it sells in bags labeled 16 ounces. The total weight of each bag follows an approximately normal distribution with a mean of 16.15 ounces and a standard deviation of 0.12 ounces.

2. statistics

a manufacturer of detergent claims that the contents of the boxes in the market weigh on average at least 16 oz.. the distribution of weights is known to be normal with a standard deviation of 0.4 oz. to test the claim of the

3. Statistics

Assume the weights of Farmer Carl's potatoes are normally distributed with a mean of 7.0 ounces and a standard deviation of 1.3 ounces. He bags his potatoes in groups of 6. You buy a bag and the total weight is 36 ounces. Here we

4. Algebra 1

An empty box weighs 6 ounces.Jenna puts 12 calculators in the box.The total weight of the box and calculators is 96 ounces.Which equation models the weight,w,in ounces of each calculator?