A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with amean of 7.8 ounces and standard deviation of 0.1 ounce. Examine the figure below and answer the following questions.Area Under a Normal Curve2.35% 13.5%34%34%13.5%2.35%4- 30 - 2o+ 20 a+ 3068%95%99.7%(a) Estimate the probability using the empirical rule that the machine will overflow an 8-ounce cup. (Round your answer to three decimalplaces.)(b) Estimate the probability using the empirical rule that the machine will not overflow an 8-ounce cup. (Round your answer to threedecimal places.)(c) The machine has just been loaded with 815 cups. How many of these cups do you expect will overflow when served? Round youranswer to a whole number.aboutcups

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Answered: A vending machine automatically pours…

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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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.)
Hi Please help. Thank you. Total cholesterol in children aged 10 to 15 years of age is assume to follow a normal distribution with a mean of 191 and a standard deviation of 22.4. What is the 90 percentile of total cholesterol?
Please see attached.
A bottler of drinking water fills plastic bottles with a mean volume of 994 millimeters (mL) with a standard deviation of 5 mL. The fill volumes are normally distributed. What proportion of bottles have volumes less than 995 mL? Use Table A.2 (Normal Distribution Table) and keep four decimal places with your answer.
Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... z=0.64 A graph with a bell-shaped curve, divided into 2 regions by a line from top to bottom on the right side. The region left of the line is shaded. The z-axis below the line is labeled "z=0.64". Question content area bottom Part 1 The area of the shaded region is? enter your response here.
Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... z=0.95 A normal curve is over a horizontal axis. A vertical line segment labeled z = 0.95 extends from the horizontal axis to the curve at 0.95. The area under the curve and to the left of the vertical line segment is shaded. The area of the shaded region is enter your response here. (Round to four decimal places as needed.) tabel 2 z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 z0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.00.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.10.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064…
Use a table of areas for the standard normal curve to find the z-score having area 0.09 to its left under the standard normal curve. Click here to view page 1 of the normal distribution table. Click here to view page 2 of the normal distribution table. ..... A. z= - 1.39 O B. z= - 1.34 O C. z= - 1.26 O D. z= -1.45
Find the area of the shaded region under the standard normal curve. A - 1.21 1.06
In an Algebra class, the scores on a test are normally distributed. The middle 68% of the scores fall between 69 and 81. What are the mean and standard deviation for this data? Standard Normal Curve Mean: Standard Deviation:

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