study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 130.6 seconds. Assuming drive-through times are normally distributed with a standard deviation of 24 econds, complete parts (a) through (d) below. lick here to view the standard normal distribution table (page 1) lick here to view the standard normal distribution table (page 2). GCEED a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 104 seconds? he probability that a randomly selected car will get through the restaurant's drive-through in less than 104 seconds is Round to four decimal places as needed) b) What is the probability that a randomly selected car will spend more than 174 seconds in the restaurant's drive-through? The probability that a randomly selected car will spend more than 174 seconds in the restaurant's drive-through is Round to four decimal places as needed.) (c) What proportion of cars spend between 2 and 3 minutes in the restaurant's drive-through? The proportion of cars that spend between 2 and 3 minutes in the restaurant's drive-through is (Round to four decimal places as needed.) (d) Would it be unusual for a car to spend more than 3 minutes in the restaurant's drive-through? Why? The probability that a car spends more than 3 minutes in the restaurant's drive-through is so it (Round to four decimal places as needed.) be unusual, since the probability is than 0.05

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question
A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 130.6 seconds. Assuming drive-through times are normally distributed with a standard deviation of 24
seconds, complete parts (a) through (d) below.
Click here to view the standard normal distribution table (page 1)
Click here to view the standard normal distribution table (page 2).
▶
(a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 104 seconds?
The probability that a randomly selected car will get through the restaurant's drive-through in less than 104 seconds is
(Round to four decimal places as needed.)
(b) What is the probability that a randomly selected car will spend more than 174 seconds in the restaurant's drive-through?
...
The probability that a randomly selected car will spend more than 174 seconds in the restaurant's drive-through is
(Round to four decimal places as needed.)
(c) What proportion of cars spend between 2 and 3 minutes in the restaurant's drive-through?
The proportion of cars that spend between 2 and 3 minutes in the restaurant's drive-through is
(Round to four decimal places as needed.)
(d) Would it be unusual for a car to spend more than 3 minutes in the restaurant's drive-through? Why?
The probability that a car spends more than 3 minutes in the restaurant's drive-through is so it
(Round to four decimal places as needed.)
be unusual, since the probability is
than 0.05.
Transcribed Image Text:A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 130.6 seconds. Assuming drive-through times are normally distributed with a standard deviation of 24 seconds, complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1) Click here to view the standard normal distribution table (page 2). ▶ (a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 104 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 104 seconds is (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 174 seconds in the restaurant's drive-through? ... The probability that a randomly selected car will spend more than 174 seconds in the restaurant's drive-through is (Round to four decimal places as needed.) (c) What proportion of cars spend between 2 and 3 minutes in the restaurant's drive-through? The proportion of cars that spend between 2 and 3 minutes in the restaurant's drive-through is (Round to four decimal places as needed.) (d) Would it be unusual for a car to spend more than 3 minutes in the restaurant's drive-through? Why? The probability that a car spends more than 3 minutes in the restaurant's drive-through is so it (Round to four decimal places as needed.) be unusual, since the probability is than 0.05.
Standard Normal Distribution Table (page 1)
Area
-3.4 -
-32
-3.1
-3.0
-28
-2.6
-25
-1.9
<-1.8
-1.7
-1.6
-1.5
-14
0.00
0.0003
0.0005
0.0007
0.0010
0.0013
0.0019
0.0026
0.0035
0.0047
0.0062
0.0082
0.0107
0.0139
0.0179
0.0228
0.0287
0.0359
0.0446
0.0548
0.0668
00808
0.01
0.0003
0.0005
0.0007
0.0009
0.0013
0.0018
0.0025
0.0034
0.0045
0.0060
0.0080
0.0104
0.0136
0.0174
0.0222
0.0281
0.0351
0.0436
0.0537
0.0655
0.0703
0.02
0.0003
0.0005
0.0006
0.0009
0.0013
0.0018
0.0024
0.0033
0.0044
0.0059
0.0078
0.0102
0.0132
0.0170
0.0217
0.0274
0.0344
0.0427
0.0526
0.0643
00778
Standard Normal Distribution
0.03
0.04
0.05
0.0003
0.0004
0.0006
0.0009
0.0012
0.0017
0.0023
0.0032
0.0043
0.0057
0.0075
0.0099
0.0129
0.0166
0.0212
0.0268
0.0336
0.0418
0.0516
0.06.30
0.0764
0.0003
0.0004
0.0006
0.0008
0.0012
0.0016
0.0023
0.0031
Print
0.0041
0.0055
0.0073
0.0096
0.0125
0.0162
0.0207
0.0262
0.0329
0.0409
0.0505
0.0618
00749
0.0003
0.0004
0.0006
0.0008
0.0011
0.0016
0.0022
0.0030
0.0040
0.0054
0.0071
0.0094
0.0122
0.0158
0.0202
0.0256
0.0322
0,0401
0.0495
0.0606
0.0735
0.06
0.0003
0.0004
0.0006
Done
0.0008
0.0011
0.0015
0.0021
0.0029
0.0039
0.0052
0.0069
0.0091
0.01 19
0.0154
0.0197
0.0250
0.0314
0.0302
0.0485
0.0594
00721
0.07
0.0003
0.0004
0.0005
0.0008
0.0011
0.0015
0.0021
-0.0028
0.0038
0.0051
0.0068
0.0089
0.0116
0.0150
0.0192
0.0244
0.0307
0.0384
0.0475
0.0582
0.0708
0.08
0.0003
0.0004
0.0005
0.0007
0.0010
0.0014
0.0020
0.0027
0.0037
0.0049
0.0066
0.0087
0.0113
0.0146
0.0188
0.0239
0.0301
0.0375
0.0465
0.0571
na
0.09
0.0002
0.0003
0.0005
0.0007
0.0010
0.0014
0.0019
0.0026
0.0036
0.0048
0.0064
0.0084
0.0110
0.0143
0.0183
0.0233
0.0294
0.0367
0.0455
0.0559
00681
Transcribed Image Text:Standard Normal Distribution Table (page 1) Area -3.4 - -32 -3.1 -3.0 -28 -2.6 -25 -1.9 <-1.8 -1.7 -1.6 -1.5 -14 0.00 0.0003 0.0005 0.0007 0.0010 0.0013 0.0019 0.0026 0.0035 0.0047 0.0062 0.0082 0.0107 0.0139 0.0179 0.0228 0.0287 0.0359 0.0446 0.0548 0.0668 00808 0.01 0.0003 0.0005 0.0007 0.0009 0.0013 0.0018 0.0025 0.0034 0.0045 0.0060 0.0080 0.0104 0.0136 0.0174 0.0222 0.0281 0.0351 0.0436 0.0537 0.0655 0.0703 0.02 0.0003 0.0005 0.0006 0.0009 0.0013 0.0018 0.0024 0.0033 0.0044 0.0059 0.0078 0.0102 0.0132 0.0170 0.0217 0.0274 0.0344 0.0427 0.0526 0.0643 00778 Standard Normal Distribution 0.03 0.04 0.05 0.0003 0.0004 0.0006 0.0009 0.0012 0.0017 0.0023 0.0032 0.0043 0.0057 0.0075 0.0099 0.0129 0.0166 0.0212 0.0268 0.0336 0.0418 0.0516 0.06.30 0.0764 0.0003 0.0004 0.0006 0.0008 0.0012 0.0016 0.0023 0.0031 Print 0.0041 0.0055 0.0073 0.0096 0.0125 0.0162 0.0207 0.0262 0.0329 0.0409 0.0505 0.0618 00749 0.0003 0.0004 0.0006 0.0008 0.0011 0.0016 0.0022 0.0030 0.0040 0.0054 0.0071 0.0094 0.0122 0.0158 0.0202 0.0256 0.0322 0,0401 0.0495 0.0606 0.0735 0.06 0.0003 0.0004 0.0006 Done 0.0008 0.0011 0.0015 0.0021 0.0029 0.0039 0.0052 0.0069 0.0091 0.01 19 0.0154 0.0197 0.0250 0.0314 0.0302 0.0485 0.0594 00721 0.07 0.0003 0.0004 0.0005 0.0008 0.0011 0.0015 0.0021 -0.0028 0.0038 0.0051 0.0068 0.0089 0.0116 0.0150 0.0192 0.0244 0.0307 0.0384 0.0475 0.0582 0.0708 0.08 0.0003 0.0004 0.0005 0.0007 0.0010 0.0014 0.0020 0.0027 0.0037 0.0049 0.0066 0.0087 0.0113 0.0146 0.0188 0.0239 0.0301 0.0375 0.0465 0.0571 na 0.09 0.0002 0.0003 0.0005 0.0007 0.0010 0.0014 0.0019 0.0026 0.0036 0.0048 0.0064 0.0084 0.0110 0.0143 0.0183 0.0233 0.0294 0.0367 0.0455 0.0559 00681
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