Question

In: Statistics and Probability

The amount of coffee dispensed by a drink vending machine is normally distributed with a mean...

The amount of coffee dispensed by a drink vending machine is normally distributed with a mean of 12.1 oz. What is the probability that a randomly selected cup of coffee has more than 12.8 oz? Assume that the standard deviation for all drink vending machines is 0.38

Solutions

Expert Solution

Let "X" be the amount of coffee dispensed by a drink vending machine.

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(1.84, TRUE)" to find the probability.

The probability that a randomly selected cup of coffee has more than 12.8 oz is


Related Solutions

A soft drink machine is regulated so that the amount of drink dispensed is approximately normally...
A soft drink machine is regulated so that the amount of drink dispensed is approximately normally distributed with a standard deviation equal to 1.5 deciliters. Find the 95% confidence interval for the mean of all soft drinks dispensed by this machine if a random sample of 36 drinks had an average content of 22.5 deciliters. What statistical table to be used? What is the tabular value? What is the computed lower confidence limit? What is the computed upper confidence limit?
The amount of coffee that people drink per day is normally distributed with a mean of...
The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and a standard deviation of 5 ounces. 32 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. What is the probability that one randomly selected person drinks between 13.7 and 14.1 ounces of coffee per day? For the 32 people, find the probability that the average coffee consumption is between 13.7 and 14.1 ounces of coffee per...
The amount of coffee that people drink per day is normally distributed with a mean of...
The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 7 ounces. 34 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. What is the distribution of X? X ~ N(___,___) What is the distribution of ¯x? ¯x ~ N(___,___) What is the probability that one randomly selected person drinks between 16.5 and 17.3 ounces of coffee per day? For the 34...
The amount of coffee that people drink per day is normally distributed with a mean of...
The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 7 ounces. 33 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. What is the distribution of X ? X ~ N( , ) What is the distribution of ¯ x ? ¯ x ~ N( , ) What is the probability that one randomly selected person drinks between 14.6 and 15.5...
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of...
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of 2.0 liters and a standard deviation of 0.05 liter. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be between 1.99 and 2.0 liters​? b. What is the probability that the sample mean will be below 1.98 liters? c. What is the probability that the sample mean will be greater than 2.01 ​liters? d....
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of...
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of 2.0 liters and a standard deviation of 0.05 liter. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be between 1.99 and 2.0 liters​? b. What is the probability that the sample mean will be below 1.98 liters​? c. What is the probability that the sample mean will be greater than 2.01 ​liters? d....
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of...
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of 2.0 liters and a standard deviation of 0.07 liter. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be below 1.98 liters​? b. What is the probability that the sample mean will be greater than 2.01 ​liters? c. The probability is 99​% that the sample mean amount of soft drink will be at least...
The fill amount of bottles of a soft drink is normally distributed, with a mean of...
The fill amount of bottles of a soft drink is normally distributed, with a mean of 2.0 liters and a standard deviation of 0.04 liter. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be between 1.99 and 2.0 liters ? b. What is the probability that the sample mean will be below 1.98 liters ? c. What is the probability that the sample mean will be greater than 2.01...
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of...
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of 1.0 liter and a standard deviation of 0.06 liter. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be between 0.99 and1.0 liter​? b. What is the probability that the sample mean will be below 0.98 liter? c. What is the probability that the sample mean will be greater than 1.01 ​liters? d. The...
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of...
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of 2.0 liters and a standard deviation of 0.08 liter. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be between 1.99 and 2.0 liters​? b. What is the probability that the sample mean will be below 1.98 liters​? c. What is the probability that the sample mean will be greater than 2.01 ​liters? d....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT