Do you tailgate the car in front of you? About 30% of all drivers will tailgate before passing, thinking they can make the car in front of them go faster. Suppose that you are driving a considerable distance on a two-lane highway and are passed by 8 vehicles. A USE SALT (a) Let r be the number of vehicles that tailgate before passing. Make a histogram showing the probability distribution of r for r= 0 through r= 8. 0.3 0 25 0.25 0.2 02 Pr0.15 0.15 Pir 0.1 0.1 0.05 0.05 01 2 3 456 01 2 3 45 6 7 8 0.3 0.4 025 0.3 0.2 Pi) 0.15 0.1 0.1 0.05 012 345 6 7 8 0123 456 78

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Do you tailgate the car in front of you? About 30% of all drivers will tailgate before passing, thinking they can make the car in front of them go faster. Suppose that you are driving a considerable distance on a
two-lane highway and are passed by 8 vehicles.
A USE SALT
(a) Let r be the number of vehicles that tailgate before passing. Make a histogram showing the probability distribution of r for r= 0 through r = 8.
0.3
0.25
0.25
0.2
0.2
0.15
Pir)
Pir) 0.15
01
0.1
0.05
0.05
0 1 2 3 4 5 6 7 8
01 2 3 45 6 7 8
0.3
0.4
0.4
0.25
0.3
0.2
Pin
0.2
P() 0.15
0.1
0.1
0.05
012 3 45 6 7 8
012 3 4 5 67 8
P Type here to search
73°F Mostly sunny
10:44 AM
(36
7/30/2021
Transcribed Image Text:Do you tailgate the car in front of you? About 30% of all drivers will tailgate before passing, thinking they can make the car in front of them go faster. Suppose that you are driving a considerable distance on a two-lane highway and are passed by 8 vehicles. A USE SALT (a) Let r be the number of vehicles that tailgate before passing. Make a histogram showing the probability distribution of r for r= 0 through r = 8. 0.3 0.25 0.25 0.2 0.2 0.15 Pir) Pir) 0.15 01 0.1 0.05 0.05 0 1 2 3 4 5 6 7 8 01 2 3 45 6 7 8 0.3 0.4 0.4 0.25 0.3 0.2 Pin 0.2 P() 0.15 0.1 0.1 0.05 012 3 45 6 7 8 012 3 4 5 67 8 P Type here to search 73°F Mostly sunny 10:44 AM (36 7/30/2021
0.2
0.2
Pir) 0.15
0.15
Pr)
0.1
0.1
0.05
0.05
012 3 4 5 6 7 8
0 1 2 3 4 5 6 7 8
03
0.4
0 25
0.3
0.2
P(n
0.2
Pr) 0.15
0.1
01
0.05
1 2
45 6 7 8
012 3 4 5 6 7 8
(b) Compute the expected number of vehicles out of 8 that will tailgate.
vehicles
(c) Compute the standard deviation of this distribution. (Round your answer to two decimal places.)
vehicles
Transcribed Image Text:0.2 0.2 Pir) 0.15 0.15 Pr) 0.1 0.1 0.05 0.05 012 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 03 0.4 0 25 0.3 0.2 P(n 0.2 Pr) 0.15 0.1 01 0.05 1 2 45 6 7 8 012 3 4 5 6 7 8 (b) Compute the expected number of vehicles out of 8 that will tailgate. vehicles (c) Compute the standard deviation of this distribution. (Round your answer to two decimal places.) vehicles
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