A small brewery has two bottling machines. Machine A produces 70% of the bottles, and machina B produces 30%. 1 out of every 20 bottles filled by A is rejected for some reason, while 1 out od 30 bottles from B is rejected. (a) What proportion of bottles is rejected? (10%) (b) What is the probability that a randomly selected bottle comes from machina A, given that it is rejected?
A small brewery has two bottling machines. Machine A produces 70% of the bottles, and machina...
A small brewery has two bottling machines. Machine A produces 60% of the bottles, and machine B produces 40%. 1 out of every 20 bottles filled by A is rejected for some reason, while 1 out of 30 bottles from B is rejected. (a) What proportion of bottles is rejected? (b) What is the probability that a randomly selected bottle comes from machine A, given that it is accepted?
Questions 25-26. A small brewery has two bottling machines. Machine 1 produces 75% of the bottles of beer while Machine 2 produces 25%. One out of every 20 bottles lled by Machine 1 is rejected because of poor quality, while one out of every 10 bottles from Machine 2 is rejected. 25. What percentage of bottles is rejected? (a) 7.5% (b) 6.25% (c) 8.75% (d) 40% (e) None of the answers is correct. 26. What is the probability that a...
Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.41 ounces and a standard deviation of 0.04 ounce. Find the probability that a randomly selected bottle contains between 12.31 and 12.37 ounces.
5. Problem 5: A bottling machine can be regulated so that it discharges an average of pi ounces per bottle. It has been observed that the amount of fill dispensed by the machine is normally distributed with a = 1 ounce. A sample of n = 9 filled bottles is randomly selected from the output of the machine on a given day, and the ounces of fill are measured for each. Find the probability that the sample mean will be...
Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.16 ounces and a standard deviation of 0.04 ounce. Find the probability that the bottle contains between 12.06 and 12.12 ounces. a. 0.8351 b. 0.1525 c. 0.8475 d. 0.1649
The company has two machines that produce certain items. Machine 1 produces 40 % of the the items, and machine 2 produces 60% of the items. Machine 1 produces 3% of defective items and machine 2 produces 5% of defective items. a. The probability that a randomly selected produced item is defective is b. If a randomly selected item is found to be defective, probability that it is produced on machine 2 is
The Crown Bottling Company has just installed a new bottling process that will fill 11-ounce bottles of the popular Crown Classic Cola soft drink. Both overfilling and underfilling bottles are undesirable: Underfilling leads to customer complaints and overfilling costs the company considerable money. In order to verify that the filler is set up correctly, the company wishes to see whether the mean bottle fill, u, is close to the target fill of 11 ounces. To this end, a random sample...
Suppose a brewery has a filling machine that fills 12-ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12 ounces and a standard deviation of 0.08 ounce. Use this information to answer the questions that follow. Imagine that all possible samples of size 25 are taken from the population of this brewery's 12- ounce bottles of beer. Describe the sampling distribution of 2. i....
Bottles filled by a certain machine are supposed to contain 12 oz of liquid. In fact the fill volume is normally distributed with mean 12.01 oz and standard deviation 0.2 oz (a) What is the probability that a randomly selected bottle contains a volume less than 12 oz? [Select ] (b) What is the probability that the mean volume of a random sample of 49 bottles is less than 12 oz? 0.3632 OZ
Suppose a brewery has a filling machine that fills 12-ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12 ounces and a standard deviation of 0.04 ounce. Use this information to answer the questions that follow. Imagine that all possible samples of size 25 are taken from the population of this brewery’s 12-ounce bottles of beer. Describe the sampling distribution of x ¯. i....