Question

In: Statistics and Probability

Say that the volume of coffee you drink in the morning (in cups, as in 8...

Say that the volume of coffee you drink in the morning (in cups, as in 8 fl oz = 1 cup, measuring cups), follows the following pdf

.3418( x + (1/x) + (1x^2) + e^(−x) ) for 1 < x < 2.

What is the probability that you drink between 1.25 and 1.75 cups of coffee? Please round to 3 decimal places!

Solutions

Expert Solution

required probability can be found using

hence,probability of drinking between 1.25 to 1.75 cups of coffee is 0.488


Related Solutions

Camino Company manufactures designer to-go coffee cups. Each line of coffee cups is endorsed by a...
Camino Company manufactures designer to-go coffee cups. Each line of coffee cups is endorsed by a high-profile celebrity and designed with special elements selected by the celebrity. During the most recent year, Camino Company had the following operating results while operating at 85 percent (85,000 units) of its capacity: Sales revenue $ 1,360,000 Cost of goods sold 531,250 Gross profit $ 828,750 Operating expenses 53,125 Net operating income $ 775,625 Camino’s cost of goods sold and operating expenses are 80...
Camino Company manufactures designer to-go coffee cups. Each line of coffee cups is endorsed by a...
Camino Company manufactures designer to-go coffee cups. Each line of coffee cups is endorsed by a high-profile celebrity and designed with special elements selected by the celebrity. During the most recent year, Camino Company had the following operating results while operating at 75 percent (60,000 units) of its capacity: Sales revenue $ 840,000 Cost of goods sold 322,500 Gross profit $ 517,500 Operating expenses 15,000 Net operating income $ 502,500 Camino’s cost of goods sold and operating expenses are 80...
A coffee machine dispenses coffee into paper cups. You are supposed to get 10 ounces of...
A coffee machine dispenses coffee into paper cups. You are supposed to get 10 ounces of coffee, but the amount varies slightly from cup to cup. Here are the amounts measured in a random sample of 20 cups: 9.9               9.7             10.0             10.1             9.9                             9.6               9.8             9.8             10.0             9.5                          9.7               10.1             9.9             9.6             10.2                                                9.8               10.0             9.9             9.5        9.9                                                     Use StatCrunch to construct a frequency histogram that...
In a sample of 28 cups of coffee at the local coffee shop, the temperatures were...
In a sample of 28 cups of coffee at the local coffee shop, the temperatures were normally distributed with a mean of 182.5 degrees with a sample standard deviation of 14.1 degrees. What would be the 95% confidence interval for the temperature of your cup of coffee?
Harbucks coffee claims that the average amount of caffeine in cups of their coffee is 180...
Harbucks coffee claims that the average amount of caffeine in cups of their coffee is 180 mg. Randy wishes to check the validity of this claim, and so he obtains a random sample of 49 cups of Harbucks coffee, from which he obtains a sample mean and standard deviation of 181 mL and 1.2 mL. Randy also notes that the sample data exhibit strong right skewness, so he suspects the population is also right skewed Does Randy have evidence to...
Suppose your favorite coffee machine offers 7 ounce cups of coffee. The actual amount of coffee...
Suppose your favorite coffee machine offers 7 ounce cups of coffee. The actual amount of coffee put in the cup by the machine varies according to a normal​ distribution, with mean equal to 8 ounces and standard deviation equal to .67 ounces a. What percentage of cups will be filled with more than 7.7 ounces? b. What percentage of cups will have in between 7 and 8 ounces of​ coffee?
you have preparing your coffee in the morning. it comes out of the brewrt at a...
you have preparing your coffee in the morning. it comes out of the brewrt at a whopping 100c and you pour about 3kg of coffee. you then add in 1kg of cream at 15c to customize your taste and 1 ice cube with mass of 0.05kg at 0c. if we can assume both the cream and coffee behave like water, what will be the final temperature of your coffee mixture? (let coffee= 1, cream=2, ice cube=3) Question: calculate the final...
In a study, you measure how many cups of coffee a random sample of 10 college...
In a study, you measure how many cups of coffee a random sample of 10 college students drink per day and their stress levels and obtain the following data: Participant Cups of Coffee Stress Level 1 3 40 2 4 30 3 1 50 4 5 90 5 6 50 6 4 30 7 7 100 8 1 10 9 2 20 10 0 70 Construct a scatterplot of the data (using a graph from Excel, another computer program that...
1) You study the number of cups of coffee consumer per day by students and discover...
1) You study the number of cups of coffee consumer per day by students and discover that it follows a discrete uniform probability distribution with possible values for x of 0, 1, 2 and 3. What is the expected value of the random variable x? 2) The weight of cats is a continuous random variable and has a normal distribution with a mean of 10.27 pounds and a standard deviation of 4.26 pounds. What is the probability that a randomly...
1. You brew a mug of coffee, but it is too hot to drink! You measure...
1. You brew a mug of coffee, but it is too hot to drink! You measure the temperature of the mug of coffee and find it is 180°F. You could cool it with an ice cube, but that would dilute it. Instead, you take a cold chunk of aluminum that you just happen to have in the freezer, place it in the mug of coffee, and wait until the temperature stops changing. (a) When you drop this 300 gram chunk...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT