The amount of apple juice in a 500 ml can from a certain company is distributed...

The amount of apple juice in a 500 ml can from a certain company is distributed as N(500,4). Find the probability that fewer than 10 cans in a sample of 60 contain less than 499 ml of juice (round off to third decimal place).

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

The amount of fill X put into bottles of a particular brand of apple juice can...

The amount of fill X put into bottles of a particular brand of apple juice can be described by a normal model with mean E(X) = μ = 34 ounces and standard deviation SD(X) = σ = .85 ounces. What is the median amount of apple juice put into a bottle, that is, what is the amount k such that P(X > k) = P(X < k) = 0.50?

_____ A certain brand of apple juice is supposed to have 64 ounces of juice. Because...

_____ A certain brand of apple juice is supposed to have 64 ounces of juice. Because the penalty for underfilling bottles is severe, the target mean amount of juice is 64.05 ounces. However, the filling machine is not precise, and the exact amount of juice varies from bottle to bottle. The quality-control manager wishes to verify that the mean amount of juice in each bottle is 64.05 ounces so that she can be sure that the machine is not over-...

3. (a) The amount of orange juice in a ”Minute Made” carton is normally distributed with...

3. (a) The amount of orange juice in a ”Minute Made” carton is normally distributed with a mean of 312 millilitres (mL) and a standard deviation of 10 mL. Every ”Minute Made” carton is labelled with the serving size as 300 mL. i. What is the probability that a randomly selected carton has less than the labelled serving? [3 marks] ii. Determine the amount of orange juice in a carton for which only 2% of cartons fall below this amount....

Question 1 Jane operates a company called “Fruity Shop”. It sells apple juice, orange juice and...

Question 1 Jane operates a company called “Fruity Shop”. It sells apple juice, orange juice and melon juice in boxes. Jane rents a retail space to sell these items and the cost of goods sold (COGS), selling price and daily demand for each item is given in the table below: Description COGS($) Unit Selling Price($) Demand Per Day Apple Juice $ 10.00 $ 14.00 400 Orange Juice $ 12.00 $ 15.00 300 Melon Juice $ 13.00 $ 16.00 250 The...

An orange juice producer sources his oranges from a large grove. The amount of juice extracted...

An orange juice producer sources his oranges from a large grove. The amount of juice extracted from a single orange is normally distributed with mean 141 ml and standard deviation 12 ml. (a) What is the probability that a randomly-chosen orange will contain less than 150 ml of juice? (b) What amount of juice would only 1 in 100 oranges exceed? (c) Describe the probability distribution of the average amount of juice from a sample of 20 oranges? What is...

An orange juice producer buys only one kind of oranges. The amount of juice squeezed from...

An orange juice producer buys only one kind of oranges. The amount of juice squeezed from each of these oranges is approximately normally distributed with a mean of 4.2 ounces and a population standard deviation of 1 ounce. If a sample of 100 oranges is selected: (a) What is the probability that the average juice squeezed is less than 4.15 ounces? (b) What is the probability that the average juice squeezed is more than 4.3 ounces? (c) What is the...

Please show all work. An apple juice producer buys only one kind of apples. The amount of...

Please show all work. An apple juice producer buys only one kind of apples. The amount of juice squeezed from each of these apples is approximately normally distributed with a mean of 4.2 ounces and a population standard deviation of 1 ounce. If a sample of 100 apples is selected: A. What is the probability that the average juice squeezed is less than 4.15 ounces? B. What is the probability that the average juice squeezed is more than 4.3 ounces? C....

The amount of ground coffee in a can from a particular production line is normally distributed...

The amount of ground coffee in a can from a particular production line is normally distributed with a mean of 200 grams and a standard deviation of 33 grams. If we select a random sample of 36 cans, the probability that the sample mean is greater than 190 grams will be ____? >95% between 90% and 95% between 10% and 20% <5% between 80% and 90% between 5% and 10%

The amount of time that customers stay in a certain restaurant for lunch is normally distributed...

The amount of time that customers stay in a certain restaurant for lunch is normally distributed with a standard deviation of 14 minutes. A random sample of 15 lunch customers was taken at this restaurant. Construct a 99%confidence interval for the true average amount of time customers spend in the restaurant for lunch. Round your answers to three decimal places and use ascending order. time 36, 79, 55, 42, 80, 44, 98, 10, 69, 84, 59, 43, 55, 65, 55

The amount of snowfall falling in a certain mountain range is normally distributed with a mean...

The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 84 inches and a standard deviation of 10 inches. What is the probability that the mean annual snowfall during 25 randomly picked years will exceed 86.8 inches? Round your answer to four decimal places. A.0.4192 B.0.0808 C.0.5808 D.0.0026

Subjects