Question

2. A radar unit is used to measure speeds of cars on a motorway. The minimum and maximum speed limits for this motorway were defined as 55km/hr and 90km/hr respectively. Any driver violates these two speed limits will be fined. If the usual speeds are normally distributed with a mean of 88km/hr and a variance of 100km$^2$/hr, what is the probability that a driver will be fined for violating speed rules.

Name: 2. A radar unit is used to measure speeds of cars on a motorway. The minimum and maximum speed limits for this motorway were defined as 55km/hr and 90km/hr respectively. Any driver violates these two speed limits will be fined. If the usual speeds are normally distributed with a mean of 88km/hr and a variance of 100km^2/hr, what is the probability that a driver will be fined for violating speed rules.
Uploaded: 2023-04-16T08:35:12-08:00
Duration: 1 min 29 s
Channel: Pritesh Ranjan

          2. A radar unit is used to measure speeds of cars on a motorway. The minimum and maximum speed limits for this motorway were defined as 55km/hr and 90km/hr respectively. Any driver violates these two speed limits will be fined. If the usual speeds are normally distributed with a mean of 88km/hr and a variance of 100km$^2$/hr, what is the probability that a driver will be fined for violating speed rules.

2. A radar unit is used to measure speeds of cars on a motorway. The minimum and maximum speed limits for this motorway were defined as 55km/hr and 90km/hr respectively. Any driver violates these two speed limits will be fined. If the usual speeds are normally distributed with a mean of 88km/hr and a variance of 100km^2/hr, what is the probability that a driver will be fined for violating speed rules.

Added by Veronica A.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Pritesh Ranjan

04/16/2023

Step 1

We are given that $X$ follows a normal distribution with mean $\mu = 88$ km/hr and variance $\sigma^2 = 100$ km²/hr. Thus, the standard deviation is $\sigma = \sqrt{100} = 10$ km/hr. Show more…

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2. A radar unit is used to measure speeds of cars on a motorway. The minimum and maximum speed limits for this motorway were defined as 55km/hr and 90km/hr respectively. Any driver violates these two speed limits will be fined. If the usual speeds are normally distributed with a mean of 88km/hr and a variance of 100km²/hr, what is the probability that a driver will be fined for violating speed rules.