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
orchestra answered 2 years agoRelated 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
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?
A coffee machine dispenses normally distributed amounts of coffee with a mean of 12 ounces and...
A coffee machine dispenses normally distributed amounts of
coffee with a mean of 12 ounces and a standard deviation of 0.2
ounce. If a sample of 9 cups is selected, find the probability that
the mean of the sample will be between 11.9 ounces and 12.1 ounces.
Find the probability if the sample is just 1 cup.
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