KA car manufacturer uses a continuous review system to manage inventory ofone of its engine's component. The demand for the component is normallydistributed with an average of 53 units per week. Current lead time is 3weeks. The standard deviation of demand is 11 units.a. What is the probability of demand exceeding the reorder point when thereorder quantity is set at 190 units? Refer to the standard normal table asneeded.The probability is %. (Enter your response rounded to two decimalplaces.)b. What is the probability of demand exceeding the 190 units, if the supplierdelays the lead time to 4 weeks? Refer to the standard normal table asneeded.The probability is %. (Enter your response rounded to two decimalplaces.)

Given information: μ=53, σ=11

Answered: A car manufacturer uses a continuous…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Use the normal distribution of SAT critical reading scores for which the mean is 514 and the standard deviation is 115. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 650? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 550? Click to view page 1 of the standard normal table. LOADING... Click to view page 2 of the standard normal table. LOADING... Question content area bottom Part 1 (a) Approximately 1.181.18% of the SAT verbal scores are less than 650. (Round to two decimal places as needed.) Part 2 (b) You would expect that approximately 0.880.88 SAT verbal scores would be greater than 550. (Round to the nearest whole number as needed.)
Find SAT Quartiles. SAT scores are reported on a scale from 600 to 2400. The mean is 1498 and the standard deviation is 316. The quartiles of any distribution are the values with cumulative proportions 0.25, and 0.75. What are the quartiles of the distribution of SAT scores?
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability that an individual has an IQ higher than 94. Find the probability that an individual has an IQ between 85 and 112. Find the IQ score that separates the highest scoring 28.1% from the rest of the population.
Jse the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 64 miles per hour, with a standard deviation of 4 miles per hour. Estimate the percent of vehicles whose speeds are between miles per hour and 72 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately % of vehicles travel between 56 miles per hour and 72 miles per hour.
Calculate the z-score representing the bottom 10% of an approximately normal distribution. (Use a table or technology. Round your answer to two decimal places.)
Over the past six years, a stock had annual returns of 14 percent, -3 percent, 8 percent, 21 percent, -16 percent, and 4 percent, respectively. What is the standard deviation of these returns? 11.27 percent 13.05 percent 13.59 percent 15.08 percent 14.40 percent
please answer in 30 minutes.
(a) Approximate the mean and standard deviation. Round each to two decimals. (b) Complete the last two columns in the table above for relative frequency and cumulative frequency. Round any decimals to 3 places. Do not include the zero before the decimal. For example for 0.56, enter .56 (c) What is the shape of the distribution?
A study discovered that Americans consumed an average of 13.2 pounds of chocolate per year. Assume that the annual chocolate consumption follows the normal distribution with a standard deviation of 3.2 pounds. d. What is the probability that an American will consume exactly 12 pounds of chocolate next year? enter your response here (Round to four decimal places as needed.) Part 5 e. What is the annual consumption of chocolate that represents the 80th percentile? The 80th percentile is represented by an annual consumption of enter your response here pounds of chocolate. (Type an integer or decimal rounded to one decimal place as needed.)

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