Question

In: Statistics and Probability

Suppose the demands in successive weeks for your product are normally distributed with mean 100 and...

Suppose the demands in successive weeks for your product are normally distributed with mean 100 and standard deviation 20 and suppose your lead time for receiving a placed order is three weeks. A quantity of interest to managers is the lead-time demand, the total demanded over three weeks. Why does the formula for the standard deviation of lead-time demand include a square root of 3? What assumptions are behind this?

Solutions

Expert Solution

Thank you.

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Suppose X is normally distributed with a mean of 100 and a variance of 121. Suppose...
Suppose X is normally distributed with a mean of 100 and a variance of 121. Suppose a sample of size 70 is collected and the sample mean calculated. Answer the following. Enter your final answers in the boxes below. Show ALL working by uploading your handwritten working for this question to Laulima Dropbox within 15 minutes of completing your exam. Correct answers without working shown will not receive full credit. Note that writing Excel functions does NOT qualify as showing...
Suppose that the IQ of adults is normally distributed with a mean of 100 and standard...
Suppose that the IQ of adults is normally distributed with a mean of 100 and standard deviation of 15. (a) What IQ score distinguishes the highest 10%? (b) What is the probability that a randomly selected person has an IQ score between 91 and 118? (c) Suppose people with IQ scores above 125 are eligible to join a high-IQ club. Show that approximately 4.78% of people have an IQ score high enough to be admitted to this particular club. (d)...
Suppose that the IQ of adults is normally distributed with a mean of 100 and standard...
Suppose that the IQ of adults is normally distributed with a mean of 100 and standard deviation of 15. not sure with current solution posted, personally it wasn't clear step by step working. I get lost with some values that he gets ( not sure where he gets them ) here's the question: To get full marks for the following questions you need to convert the question from words to a mathematical expression (i.e. use mathematical notation), defining your random...
IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose...
IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Find the probability that the person has an IQ less than 110. Include a sketch of the graph and shade the area to be determined.
IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose...
IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. a. X ~ _____(_____,_____) b. Find the probability that the person has an IQ greater than 120. A. 0.05            B. 0.08           C. 0.09           D. 0.06           E. 0.07 c. Find the probability that the person has an IQ between 90 and 115. A. 0.589            B. 0.664           C. 0.732           D. 0.531           E. 0.469 d. Find the 60th percentile A. 98.6              B. 100.0             C. 103.8            D....
Suppose that ? is normally distributed with mean 100 and standard deviation 19. A. What is...
Suppose that ? is normally distributed with mean 100 and standard deviation 19. A. What is the probability that ? is greater than 137.43? Probability = B. What value of ? does only the top 16% exceed?
IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose...
IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. Part B Find the probability that the person has an IQ greater than 110. What is the probability? (Round your answer to four decimal places.) Part C The middle 60% of IQs fall between what two values? State the two values. (Round your answers to the nearest whole number.) What is the...
IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose...
IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose an individual is randomly chosen. a) Find the probability that the person has an IQ greater than 125. b) Find the probability that the person has an IQ score between 105 and 118. c) What is the IQ score of a person whose percentile rank is at the 75th percentile, ?75? d) Use the information from part (c) to fill in the blanks and...
Suppose IQ scores are approximately normally distributed with a mean of 100 and a standard deviation...
Suppose IQ scores are approximately normally distributed with a mean of 100 and a standard deviation of 15. Answer the following questions. Question 1 What percent of the population has an IQ that is above average? Question 2 What percent of the population has an IQ below 110? What is the calculated z-score? What is the percentage? Question 3 What percent of the individuals in the population have an IQ above 130? (Individuals in this category are sometimes classified as...
Suppose IQ scores are approximately normally distributed with a mean of 100 and a standard deviation...
Suppose IQ scores are approximately normally distributed with a mean of 100 and a standard deviation of 15. Answer the following questions. Question 1 What percent of the population has an IQ that is above average? Question 2 What percent of the population has an IQ below 110? What is the calculated z-score? What is the percentage? Question 3 What percent of the individuals in the population have an IQ above 130? (Individuals in this category are sometimes classified as...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT