Question
I need help with part c of this question. Please show me step by step how to answer. Avoiding an accident while driving can depend
I need help with part c of this question. Please show me step by step how to answer.
Avoiding an accident while driving can depend on reaction time. That time, measured from the moment the driver first sees danger until they step on the brake pedal, follows an approximately normal distribution with a mean time of 1.5 seconds and a standard deviation of 0.18 of a second.
A. What percent of drivers have a reaction time less than 1.25 seconds?
P(x<1.25)= P(z<1.25-1.5/ 0.18)= P(z<-0.25/0.18)= P(z<-1.3888)= P(z<-1.39)= 0.0823= 8.23% (Calculated in Geogebra)
8.23% of drivers have a reaction time less than 1.25 seconds.
B. What percent of drivers have reaction times between 1.6 and 1.8 seconds?
P(1.6 24.13% of drivers have a reaction time between 1.6 and 1.8 seconds. C. What's the cut-off for the reaction times of the slowest 1/3 of all drivers, those drivers with the longest 1/3 of the reaction times?
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started