Pearson eText for Calculus & Its Applications -- Instant Access (Pearson+)
14th Edition
ISBN: 9780137400096
Author: Larry Goldstein, David Lay
Publisher: PEARSON+
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Chapter 12, Problem 14RE
(a)
To determine
To graph: The cumulative distribution function
To determine
The meaning of cumulative function
(c)
To determine
The cumulative distribution function
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Question 1:
If a barometer were built using oil (p = 0.92 g/cm³) instead of mercury (p =
13.6 g/cm³), would the column of oil be higher than, lower than, or the same as the
column of mercury at 1.00 atm? If the level is different, by what factor? Explain. (5 pts)
Solution:
A barometer works based on the principle that the pressure exerted by the liquid column
balances atmospheric pressure. The pressure is given by:
P = pgh
Since the atmospheric pressure remains constant (P = 1.00 atm), the height of the
liquid column is inversely proportional to its density:
Step 1: Given Data
PHg
hol=hgx
Poil
• Density of mercury: PHg = 13.6 g/cm³
Density of oil: Poil = 0.92 g/cm³
• Standard height of mercury at 1.00 atm: hμg
Step 2: Compute Height of Oil
= 760 mm = 0.760 m
13.6
hoil
= 0.760 x
0.92
hoil
= 0.760 × 14.78
hoil
= 11.23 m
Step 3: Compare Heights
Since oil is less dense than mercury, the column of oil must be much taller than that of
mercury. The factor by which it is taller is:
Final…
Chapter 12 Solutions
Pearson eText for Calculus & Its Applications -- Instant Access (Pearson+)
Ch. 12.1 - Compute the expected value and the variance of the...Ch. 12.1 - Prob. 2CYUCh. 12.1 - Prob. 1ECh. 12.1 - Prob. 2ECh. 12.1 - Prob. 3ECh. 12.1 - Prob. 4ECh. 12.1 - Prob. 5ECh. 12.1 - Probability Table, Expected Value The number of...Ch. 12.1 - Prob. 7ECh. 12.1 - Prob. 8E
Ch. 12.1 - Decision Making Based on Expected Value A citrus...Ch. 12.1 - Prob. 10ECh. 12.2 - Prob. 1CYUCh. 12.2 - Prob. 2CYUCh. 12.2 - Prob. 1ECh. 12.2 - Prob. 2ECh. 12.2 - Prob. 3ECh. 12.2 - Prob. 4ECh. 12.2 - Prob. 5ECh. 12.2 - Prob. 6ECh. 12.2 - Prob. 7ECh. 12.2 - Prob. 8ECh. 12.2 - Prob. 9ECh. 12.2 - Prob. 10ECh. 12.2 - Prob. 11ECh. 12.2 - Prob. 12ECh. 12.2 - Prob. 13ECh. 12.2 - Prob. 14ECh. 12.2 - Prob. 15ECh. 12.2 - Prob. 16ECh. 12.2 - Prob. 17ECh. 12.2 - Prob. 18ECh. 12.2 - Prob. 19ECh. 12.2 - Prob. 20ECh. 12.2 - Prob. 21ECh. 12.2 - Prob. 22ECh. 12.2 - Prob. 23ECh. 12.2 - Prob. 24ECh. 12.2 - Prob. 25ECh. 12.2 - Prob. 26ECh. 12.2 - An experiment consists of selecting a point at...Ch. 12.2 - Prob. 28ECh. 12.2 - Prob. 29ECh. 12.2 - Prob. 30ECh. 12.2 - Prob. 31ECh. 12.2 - Prob. 32ECh. 12.2 - Prob. 33ECh. 12.2 - Prob. 34ECh. 12.2 - Prob. 35ECh. 12.2 - A random variable X has a cumulative distribution...Ch. 12.2 - Prob. 37ECh. 12.2 - Prob. 38ECh. 12.3 - Prob. 1CYUCh. 12.3 - Prob. 2CYUCh. 12.3 - Prob. 1ECh. 12.3 - Prob. 2ECh. 12.3 - Prob. 3ECh. 12.3 - Prob. 4ECh. 12.3 - Prob. 5ECh. 12.3 - Prob. 6ECh. 12.3 - Prob. 7ECh. 12.3 - Prob. 8ECh. 12.3 - Prob. 9ECh. 12.3 - Prob. 10ECh. 12.3 - Prob. 11ECh. 12.3 - Prob. 12ECh. 12.3 - Expected Reading Time The amount oftime (in...Ch. 12.3 - Prob. 14ECh. 12.3 - Prob. 15ECh. 12.3 - Prob. 16ECh. 12.3 - Prob. 17ECh. 12.3 - Prob. 18ECh. 12.3 - If X is a random variable with density function...Ch. 12.3 - Prob. 20ECh. 12.3 - Prob. 21ECh. 12.3 - Prob. 22ECh. 12.3 - Prob. 23ECh. 12.3 - Prob. 24ECh. 12.3 - Prob. 25ECh. 12.3 - Prob. 26ECh. 12.4 - The emergency flasher on an automobile is...Ch. 12.4 - Prob. 2CYUCh. 12.4 - Prob. 1ECh. 12.4 - Prob. 2ECh. 12.4 - Prob. 3ECh. 12.4 - Prob. 4ECh. 12.4 - Prob. 5ECh. 12.4 - In a large factory there is an average of two...Ch. 12.4 - Prob. 7ECh. 12.4 - Prob. 8ECh. 12.4 - During a certain part of the day, the time between...Ch. 12.4 - During a certain part of the day, the time between...Ch. 12.4 - Prob. 11ECh. 12.4 - Prob. 12ECh. 12.4 - Reliability of Electronic Components Suppose that...Ch. 12.4 - Prob. 14ECh. 12.4 - Prob. 15ECh. 12.4 - Find the expected values and the standard...Ch. 12.4 - Prob. 17ECh. 12.4 - Find the expected values and the standard...Ch. 12.4 - Prob. 19ECh. 12.4 - Prob. 20ECh. 12.4 - Prob. 21ECh. 12.4 - Prob. 22ECh. 12.4 - Prob. 23ECh. 12.4 - Prob. 24ECh. 12.4 - Prob. 25ECh. 12.4 - Normal Distribution and Life of a Tire Suppose...Ch. 12.4 - Amount of Milk in a Container If the amount of...Ch. 12.4 - Breaking weight Theamount of weight required to...Ch. 12.4 - Time of a commute A student with an eight oclock...Ch. 12.4 - Prob. 30ECh. 12.4 - Diameter of a Bolt A certain type of bolt must fit...Ch. 12.4 - Prob. 32ECh. 12.4 - Prob. 33ECh. 12.4 - Prob. 34ECh. 12.4 - Prob. 35ECh. 12.4 - Prob. 36ECh. 12.4 - Prob. 37ECh. 12.5 - A public health officer is tracking down the...Ch. 12.5 - Suppose that a random variable X has a Poisson...Ch. 12.5 - Prob. 2ECh. 12.5 - Prob. 3ECh. 12.5 - Prob. 4ECh. 12.5 - Number of Insurance Claims The monthly number of...Ch. 12.5 - Waiting Time in an Emergency Room On a typical...Ch. 12.5 - Prob. 7ECh. 12.5 - Number of Cars at a Tollgate During a certain part...Ch. 12.5 - Poisson Distribution in a Mixing Problem A bakery...Ch. 12.5 - Prob. 10ECh. 12.5 - Prob. 11ECh. 12.5 - Quality Control The quality-control department at...Ch. 12.5 - Two Competing Companies In a certain town, there...Ch. 12.5 - Prob. 14ECh. 12.5 - Prob. 15ECh. 12.5 - Prob. 16ECh. 12.5 - Prob. 17ECh. 12.5 - Prob. 18ECh. 12.5 - Prob. 19ECh. 12.5 - Prob. 20ECh. 12.5 - Prob. 21ECh. 12.5 - Prob. 22ECh. 12.5 - Prob. 23ECh. 12.5 - Prob. 24ECh. 12.5 - Prob. 25ECh. 12.5 - The number of accidents occurring each month at a...Ch. 12 - What is probability table?Ch. 12 - Prob. 2CCECh. 12 - Prob. 3CCECh. 12 - Prob. 4CCECh. 12 - Prob. 5CCECh. 12 - Prob. 6CCECh. 12 - Prob. 7CCECh. 12 - Prob. 8CCECh. 12 - Prob. 9CCECh. 12 - Give two ways to compute the variance of a...Ch. 12 - Prob. 11CCECh. 12 - Prob. 12CCECh. 12 - Prob. 13CCECh. 12 - Prob. 14CCECh. 12 - How is an integral involving a normal density...Ch. 12 - Prob. 16CCECh. 12 - Prob. 17CCECh. 12 - Let X be a continuous random variable on 0x2, with...Ch. 12 - Prob. 2RECh. 12 - Prob. 3RECh. 12 - Prob. 4RECh. 12 - Prob. 5RECh. 12 - Prob. 6RECh. 12 - Prob. 7RECh. 12 - Prob. 8RECh. 12 - Probability of Gasoline Sales A certain gas...Ch. 12 - Prob. 10RECh. 12 - Prob. 11RECh. 12 - Prob. 12RECh. 12 - Prob. 13RECh. 12 - Prob. 14RECh. 12 - Prob. 15RECh. 12 - Prob. 16RECh. 12 - Prob. 17RECh. 12 - Deciding on a Service Contract The condenser motor...Ch. 12 - Prob. 19RECh. 12 - Prob. 20RECh. 12 - Prob. 21RECh. 12 - Prob. 22RECh. 12 - Prob. 23RECh. 12 - Prob. 24RECh. 12 - Prob. 25RECh. 12 - Prob. 26RECh. 12 - Area under the Normal Curve It is useful in some...Ch. 12 - Prob. 28RECh. 12 - Prob. 29RECh. 12 - Prob. 30RECh. 12 - Prob. 31RECh. 12 - Prob. 32RECh. 12 - Prob. 33RECh. 12 - Rolling Dice A pair of dice is rolled until a 7 or...Ch. 12 - Rolling Dice A pair of dice is rolled until a 7 or...Ch. 12 - Rolling Dice A pair of dice is rolled until a 7 or...
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