Question

In: Statistics and Probability

The caffeine content of a cup of coffee in the cafeteria is a normally distributed random...

The caffeine content of a cup of coffee in the cafeteria is a normally distributed random variable with μ = 120 mg and σ = 25 mg. What is the probability that a randomly chosen cup of coffee will have more than 130 mg? Less than 100 mg? Between 95 mg and 140 mg? If the cup of coffee was the strongest 10% in caffeine content (hint: think about whether this would be above or below the mean), how many mgs of caffeine would it contain? If the cup of coffee was the weakest 20% in caffeine content (hint: think about whether this would be above or below the mean), how many mgs of caffeine would it contain?

Solutions

Expert Solution


Related Solutions

4) The caffeine content of a cup of coffee in the cafeteria is a normally distributed...
4) The caffeine content of a cup of coffee in the cafeteria is a normally distributed random variable with μ = 130 mg and σ = 30 mg. a) What is the probability that a randomly chosen cup of coffee will have more than 130 mg? b) Less than 100 mg? c) Between 90 mg and 150 mg? d) If the cup of coffee was the strongest 5% in caffeine content (hint: think about whether this would be above or...
The caffeine content of a cup of coffee in the cafeteria is a normally distributed random variable with μ = 130 mg and σ = 30 mg.
The caffeine content of a cup of coffee in the cafeteria is a normally distributed random variable with μ = 130 mg and σ = 30 mg. What is the probability that a randomly chosen cup of coffee will have more than 130 mg? Less than 100 mg? Between 90 mg and 150 mg? If the cup of coffee was the strongest 5% in caffeine content (hint: think about whether this would be above or below the mean), how many...
A coffee machine fills a cup automatically with a volume of coffee normally distributed with expectation...
A coffee machine fills a cup automatically with a volume of coffee normally distributed with expectation 2.2dl and standard deviation 0.3dl. The cups used can take a volume of coffee with expectation value 2.5 dl and standard deviation 0.45 dl. The volume of the coffee machine drops and the volume of a cup is independent. What is the probability of it accidentally overflowing with a cup?
The weight of a small Starbucks coffee is a normally distributed random variable with a mean...
The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 340 grams and a standard deviation of 11 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C to calculate the z-value. Round your final answers to 2 decimal places.) highest 30 percent middle 70 percent highest 90 percent lowest 20 percent
The weight of a small Starbucks coffee is a normally distributed random variable with a mean...
The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 415 grams and a standard deviation of 23 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C to calculate the z-value. Round your final answers to 2 decimal places.) a. Highest 20 percent b. Middle 60 percent to c. Highest 80 percent d. Lowest 15 percent
The weight of a small Starbucks coffee is a normally distributed random variable with a mean...
The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 350 grams and a standard deviation of 11 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C to calculate the z-value. Round your final answers to 2 decimal places.) a. Highest 10 percent _________ b. Middle 50 percent _________to________ c. Highest 80 percent _________ d. Lowest 10 percent__________
The weight of a small Starbucks coffee is a normally distributed random variable with a mean...
The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 340 grams and a standard deviation of 11 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C to calculate the z-value. Round your final answers to 2 decimal places.) highest 30 percent middle 70 percent highest 90 percent lowest 20 percent
The weight of a small Starbucks coffee is a normally distributed random variable with a mean...
The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 385 grams and a standard deviation of 8 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C to calculate the z-value. Round your final answers to 2 decimal places.) a. Highest 30 percent b. Middle 70 percent to c. Highest 90 percent d. Lowest 20 percent
A company that produces coffee for use in commercial machines monitors the caffeine content in its...
A company that produces coffee for use in commercial machines monitors the caffeine content in its coffee. The company selects 35 8-oz samples each hour from its production line to analyze. The samples collected one morning between 8:00 - 9:00 am contained on average 96.1 mg of caffeine, with standard deviation 1.2 mg. a) Compute and interpret a 95% confidence interval for mean caffeine content based on the collected data. b) According to production standards, the mean amount of caffeine...
Due to random variations in the operation of an automatic coffee​ machine, not every cup is...
Due to random variations in the operation of an automatic coffee​ machine, not every cup is filled with the same amount of coffee. Assume that the mean amount of coffee dispensed is 8 ounces and the standard is deviation is 0.5 ounce. Use the 65-95-99.7 rule to complete the following. a. Approximately ___ % of cups should have less than 8 ounces? b. Approximately ___% of cups should have less than 6.5 ounces?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT